IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v52y2013i2p411-420.html
   My bibliography  Save this article

The connection between distortion risk measures and ordered weighted averaging operators

Author

Listed:
  • Belles-Sampera, Jaume
  • Merigó, José M.
  • Guillén, Montserrat
  • Santolino, Miguel

Abstract

Distortion risk measures summarize the risk of a loss distribution by means of a single value. In fuzzy systems, the Ordered Weighted Averaging (OWA) and Weighted Ordered Weighted Averaging (WOWA) operators are used to aggregate a large number of fuzzy rules into a single value. We show that these concepts can be derived from the Choquet integral, and then the mathematical relationship between distortion risk measures and the OWA and WOWA operators for discrete and finite random variables is presented. This connection offers a new interpretation of distortion risk measures and, in particular, Value-at-Risk and Tail Value-at-Risk can be understood from an aggregation operator perspective. The theoretical results are illustrated in an example and the degree of orness concept is discussed.

Suggested Citation

  • Belles-Sampera, Jaume & Merigó, José M. & Guillén, Montserrat & Santolino, Miguel, 2013. "The connection between distortion risk measures and ordered weighted averaging operators," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 411-420.
    • Handle: RePEc:eee:insuma:v:52:y:2013:i:2:p:411-420
    DOI: 10.1016/j.insmatheco.2013.02.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167668713000218
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.insmatheco.2013.02.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. António Afonso & Peter Claeys & Ricardo Sousa, 2011. "Fiscal regime shifts in Portugal," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 10(2), pages 83-108, August.
    2. Marta Gómez-Puig & Simón Sosvilla-Rivero, 2011. "Causality and contagion in peripheral EMU public debt markets: A dynamic approach," Working Papers 11-06, Asociación Española de Economía y Finanzas Internacionales.
    3. Carmen Florido & Juan Luis Jiménez & Jordi Perdiguero, 2010. "Cómo (no) adaptar una asignatura al EEES: Lecciones desde la experiencia comparada en España," IREA Working Papers 201008, University of Barcelona, Research Institute of Applied Economics, revised Jun 2010.
    4. Miguel Santolino, 2008. "Determinants of the decision to appeal against motor bodily injury settlements awarded by Spanish trial courts," IREA Working Papers 200814, University of Barcelona, Research Institute of Applied Economics, revised Oct 2008.
    5. Goovaerts, Marc & Linders, Daniël & Van Weert, Koen & Tank, Fatih, 2012. "On the interplay between distortion, mean value and Haezendonck–Goovaerts risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 51(1), pages 10-18.
    6. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    7. Manuel Artis & Raul Ramos & Jordi Suriñach, 2006. "Job losses, outsourcing and relocation, empirical evidence using microdata," IREA Working Papers 200601, University of Barcelona, Research Institute of Applied Economics, revised Dec 2006.
    8. Montserrat Guillen & Jens Perch Nielsen & Tomas Scheike & Ana Maria Perez-Marin, 2006. "Time-varying effects when analysing customer lifetime duration, application to the insurance market," IREA Working Papers 200604, University of Barcelona, Research Institute of Applied Economics, revised Dec 2006.
    9. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    10. Juan Carlos Duque & Raúl Ramos & Jordi Suriñach, 2007. "Supervised Regionalization Methods: A Survey," International Regional Science Review, , vol. 30(3), pages 195-220, July.
    11. G. M.P. Swann, 2009. "The Economics of Innovation," Books, Edward Elgar Publishing, number 13211.
    12. Michel Grabisch & Jean-Luc Marichal & Radko Mesiar & Endre Pap, 2011. "Aggregation functions: Means," Post-Print hal-00539028, HAL.
    13. Peter Claeys & Raúl Ramos & Jordi Suriñach, 2008. "Fiscal sustainability across government tiers," International Economics and Economic Policy, Springer, vol. 5(1), pages 139-163, July.
    14. Isabel Cortés-Jiménez & Manuela Pulina & Carme Riera i Prunera & Manuel Artís, 2009. "Tourism and Exports as a means of Growth," IREA Working Papers 200910, University of Barcelona, Research Institute of Applied Economics, revised May 2009.
    15. Laia Castany & Enrique Lopez-Bazo & Rosina Moreno, 2007. "Decomposing differences in total factor productivity across firm size," IREA Working Papers 200705, University of Barcelona, Research Institute of Applied Economics, revised Mar 2007.
    16. Ebru Kerimoglu & Burhan Can Karahasan, 2011. "“Geography of talent and regional differences in Spain”," IREA Working Papers 201107, University of Barcelona, Research Institute of Applied Economics, revised Jun 2011.
    17. Vicente Royuela & Gustavo Adolfo Garc�a, 2015. "Economic and Social Convergence in Colombia," Regional Studies, Taylor & Francis Journals, vol. 49(2), pages 219-239, February.
    18. Sandra Nieto Viramontes & Raul Ramos Lobo, 2011. "¿La sobreeducación de los padres afecta al rendimiento académico de sus hijos?," Investigaciones de Economía de la Educación volume 6, in: Antonio Caparrós Ruiz (ed.), Investigaciones de Economía de la Educación 6, edition 1, volume 6, chapter 11, pages 185-206, Asociación de Economía de la Educación.
    19. Daniel Albalate & Germa Bel, 2008. "Shaping urban traffic patterns through congestion charging: What factors drive success or failure?," IREA Working Papers 200801, University of Barcelona, Research Institute of Applied Economics, revised Jan 2008.
    20. Wang, Shaun, 1996. "Premium Calculation by Transforming the Layer Premium Density," ASTIN Bulletin, Cambridge University Press, vol. 26(1), pages 71-92, May.
    21. Anwar, Sajid & Zheng, Mingli, 2012. "Competitive insurance market in the presence of ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 79-84.
    22. Bel Germà & Fageda Xavier & E. Mildred, 2014. "Is private production of public services cheaper than public production? A meta-regression analysis of solid waste and water services," Public administration issues, Higher School of Economics, issue 3, pages 103-140.
    23. Vicente Royuela & Manuel Sanchis, 2010. "La reforma de la contratación en el mercado de trabajo: entre la flexibilidad y la seguridad," IREA Working Papers 201006, University of Barcelona, Research Institute of Applied Economics, revised Mar 2010.
    24. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    25. Alejandro Balbás & José Garrido & Silvia Mayoral, 2009. "Properties of Distortion Risk Measures," Methodology and Computing in Applied Probability, Springer, vol. 11(3), pages 385-399, September.
    26. Mercedes Ayuso & Miguel Santolino, 2008. "Prediction of individual automobile RBNS claim reserves in the context of Solvency II," IREA Working Papers 200806, University of Barcelona, Research Institute of Applied Economics, revised May 2008.
    27. Vicente Royuel & Rosina Moreno & Esther Vaya, 2007. "Is the influence of quality of life on urban growth non-stationary in space? A case study of Barcelona," IREA Working Papers 200703, University of Barcelona, Research Institute of Applied Economics, revised Feb 2007.
    28. Manca, Fabio, 2010. "Technology catch-up and the role of institutions," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1041-1053, December.
    29. De Waegenaere, Anja & Kast, Robert & Lapied, Andre, 2003. "Choquet pricing and equilibrium," Insurance: Mathematics and Economics, Elsevier, vol. 32(3), pages 359-370, July.
    30. Raquel Ortega‐Argilés & Mariacristina Piva & Marco Vivarelli, 2014. "The transatlantic productivity gap: Is R&D the main culprit?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 47(4), pages 1342-1371, November.
    31. Raul Ramos & Jordi Surinach & Manuel Art�s, 2012. "Regional Economic Growth and Human Capital: The Role of Over-education," Regional Studies, Taylor & Francis Journals, vol. 46(10), pages 1389-1400, November.
    32. Raúl Ramos & Vicente Royuela & Jordi Suriñach, 2007. "An analysis of the determinants in Economics and Business publications by Spanish universities between 1994 and 2004," Scientometrics, Springer;Akadémiai Kiadó, vol. 71(1), pages 117-144, April.
    33. Francesca Arnaboldi & Peter Claeys, 2008. "Internet Banking in Europe: a comparative analysis," IREA Working Papers 200811, University of Barcelona, Research Institute of Applied Economics, revised Sep 2008.
    34. Daniel Albalate, 2008. "Lowering blood alcohol content levels to save lives: The European experience," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 27(1), pages 20-39.
    35. Raul Ramos & Jordi Suriñach & Manuel Artís, 2010. "Human capital spillovers, productivity and regional convergence in Spain," Papers in Regional Science, Wiley Blackwell, vol. 89(2), pages 435-447, June.
    36. Juan Luis Jiménez & Jordi Perdiguero & Ancor Suárez, 2011. "Debating as a classroom tool for adapting learning outcomes to the European higher education area," IREA Working Papers 201109, University of Barcelona, Research Institute of Applied Economics, revised Jun 2011.
    37. Claeys, Peter & Maravalle, Alessandro, 2010. "Fiscal Policy and Economic Stability: Does PIGS stand for Procyclicality In Government Spending?," DFAEII Working Papers 1988-088X, University of the Basque Country - Department of Foundations of Economic Analysis II.
    38. Daniel Albalate & Germà Bel, 2011. "Privatization and PPPS in transportation infrastructure: Network effects of increasing user fees," IREA Working Papers 201110, University of Barcelona, Research Institute of Applied Economics, revised Jun 2011.
    39. Vicente Royuela & Diona Lambiri & Bianca Biagi, 2006. "Economía Urbana y Calidad de Vida. Una revisión del estado del conocimiento en España," IREA Working Papers 200606, University of Barcelona, Research Institute of Applied Economics, revised Dec 2006.
    40. Vicente Royuela & Jordi López-Tamayo & Jordi Suriñach, 2008. "The Institutional vs. the Academic Definition of the Quality of Work Life. What is the Focus of the European Commission?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 86(3), pages 401-415, May.
    41. Enrique López-Bazo & Burhan Can Karahasan, 2011. "The Spatial Distribution of Human Capital: Can It Really Be Explained by Regional Differences in Market Access?," ERSA conference papers ersa11p1122, European Regional Science Association.
    42. Acerbi, Carlo & Tasche, Dirk, 2002. "On the coherence of expected shortfall," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1487-1503, July.
    43. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    44. Enrique Lopez-Bazo & Rosina Moreno, 2007. "Regional returns to physical capital: are they conditioned by educational attainment?," IREA Working Papers 200718, University of Barcelona, Research Institute of Applied Economics, revised Dec 2007.
    45. Ana María Osorio & Catalina Bolancé & Manuela Alcañiz, 2011. "Measuring early childhood health: a composite index comparing Colombian departments," IREA Working Papers 201122, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    46. Michel Grabisch & Jean-Luc Marichal & Radko Mesiar & Endre Pap, 2009. "Aggregation functions," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00445120, HAL.
    47. Sordo, Miguel A. & Suárez-Llorens, Alfonso, 2011. "Stochastic comparisons of distorted variability measures," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 11-17, July.
    48. Juan Carlos Duque & Vicente Royuela & Jordi Suriñach, 2006. "Patrones de publicación internacional (ssci) de los autores afiliados a universidades españolas, en el ámbito económico-empresarial (1994-2004)," IREA Working Papers 200609, University of Barcelona, Research Institute of Applied Economics, revised Dec 2006.
    49. Josep Carrion-i-Silvestre & Vicente German-Soto, 2009. "Panel data stochastic convergence analysis of the Mexican regions," Empirical Economics, Springer, vol. 37(2), pages 303-327, October.
    50. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    51. Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006. "Risk measurement with equivalent utility principles," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 1-25, July.
    52. Kaluszka, Marek & Krzeszowiec, Michał, 2012. "Pricing insurance contracts under Cumulative Prospect Theory," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 159-166.
    53. Peter Claeys & Fabio Manca, 2011. "A missing spatial link in institutional quality," Applied Economics Letters, Taylor & Francis Journals, vol. 18(3), pages 223-227.
    54. Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A., 2010. "A note on additive risk measures in rank-dependent utility," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 187-189, October.
    55. Jordi Perdiguero, 2011. "Vertical relations and local competition: an empirical approach," IREA Working Papers 201124, University of Barcelona, Research Institute of Applied Economics, revised Dec 2011.
    56. Fageda, Xavier & Flores-Fillol, Ricardo, 2012. "Air services on thin routes: Regional versus low-cost airlines," Regional Science and Urban Economics, Elsevier, vol. 42(4), pages 702-714.
    57. Juan Jiménez & Jordi Perdiguero, 2012. "Does Rigidity of Prices Hide Collusion?," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 41(3), pages 223-248, November.
    58. Mercedes Ayuso & Miguel Santolino, 2012. "Forecasting the Maximum Compensation Offer in the Automobile BI Claims Negotiation Process," Group Decision and Negotiation, Springer, vol. 21(5), pages 663-676, September.
    59. Bleichrodt, Han & Eeckhoudt, Louis, 2006. "Survival risks, intertemporal consumption, and insurance: The case of distorted probabilities," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 335-346, April.
    60. Daniel Albalate & Germà Bel, 2009. "Factors explaining urban transport systems in large European cities: A cross-sectional approach," IREA Working Papers 200905, University of Barcelona, Research Institute of Applied Economics, revised Apr 2009.
    61. Germà Bel, 2011. "Infrastructure and nation building: The regulation and financing of network transportation infrastructures in Spain (1720--2010)," Business History, Taylor & Francis Journals, vol. 53(5), pages 688-705, August.
    62. David Castells & Vicente Royuela, 2012. "Agglomeration, Inequality and Economic Growth: Cross-section and panel data analysis," ERSA conference papers ersa12p492, European Regional Science Association.
    63. Mercedes Ayuso & Lluís Bermúdez & Miguel Santolino, 2011. "“Influence of the claimant’s behavioural features on motor compensation outcomes”," IREA Working Papers 201108, University of Barcelona, Research Institute of Applied Economics, revised Jun 2011.
    64. Juan Carlos Duque & Raúl Ramos & Vicente Royuela, 2011. "Research networks and scientific production in Economics: The recent Spanish Experience," Revista Ecos de Economía, Universidad EAFIT, June.
    65. Kim, Joseph H.T., 2010. "Bias correction for estimated distortion risk measure using the bootstrap," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 198-205, October.
    66. Shapiro, Arnold F., 2002. "The merging of neural networks, fuzzy logic, and genetic algorithms," Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 115-131, August.
    67. Ramos, Raul & Duque, Juan C. & Surinach, Jordi, 2010. "Is the wage curve formal or informal? Evidence for Colombia," Economics Letters, Elsevier, vol. 109(2), pages 63-65, November.
    68. Daniel Albalate & Germà Bel, 2010. "Speed limit laws in America: Economics, politics and geography," IREA Working Papers 201002, University of Barcelona, Research Institute of Applied Economics, revised Jan 2010.
    69. Daniel Albalate & Germa Bel, 2008. "Motorways, tolls and road safety.Evidence from European Panel Data," IREA Working Papers 200802, University of Barcelona, Research Institute of Applied Economics, revised Feb 2008.
    70. Daniel Albalate & Germà Bel & Joan Calzada, 2010. "Urban transport governance reform in Barcelona," IREA Working Papers 201009, University of Barcelona, Research Institute of Applied Economics, revised Jun 2010.
    71. Shapiro, Arnold F., 2009. "Fuzzy random variables," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 307-314, April.
    72. Handa, Jagdish, 1977. "Risk, Probabilities, and a New Theory of Cardinal Utility," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 97-122, February.
    73. López-Bazo, Enrique & Moreno, Rosina, 2008. "Does human capital stimulate investment in physical capital?: Evidence from a cost system framework," Economic Modelling, Elsevier, vol. 25(6), pages 1295-1305, November.
    74. Fabio Manca, 2011. "The "farthest" need the best. Human capital composition and development-specific economic growth," IREA Working Papers 201117, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    75. Wang, Shaun & Dhaene, Jan, 1998. "Comonotonicity, correlation order and premium principles," Insurance: Mathematics and Economics, Elsevier, vol. 22(3), pages 235-242, July.
    76. Peter Claeys & Raúl Ramos & Jordi Suriñach, 2008. "Testing the FTPL across government tiers," IREA Working Papers 200812, University of Barcelona, Research Institute of Applied Economics, revised Oct 2008.
    77. Vicente Royuela & Jordi Suriñach, 2013. "Quality of Work and Aggregate Productivity," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 113(1), pages 37-66, August.
    78. Denuit Michel & Dhaene Jan & Goovaerts Marc & Kaas Rob & Laeven Roger, 2006. "Risk measurement with equivalent utility principles," Statistics & Risk Modeling, De Gruyter, vol. 24(1), pages 1-25, July.
    79. Wang, Shaun S. & Young, Virginia R. & Panjer, Harry H., 1997. "Axiomatic characterization of insurance prices," Insurance: Mathematics and Economics, Elsevier, vol. 21(2), pages 173-183, November.
    80. Fabio Manca, 2009. "Appropriate IPRs, Human Capital Composition and Economic Growth," IREA Working Papers 200914, University of Barcelona, Research Institute of Applied Economics, revised Jun 2009.
    81. Wu, Xianyi & Zhou, Xian, 2006. "A new characterization of distortion premiums via countable additivity for comonotonic risks," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 324-334, April.
    82. Hurlimann, Werner, 2006. "A note on generalized distortion risk measures," Finance Research Letters, Elsevier, vol. 3(4), pages 267-272, December.
    83. Peter Claeys, 2011. "If you want me to stay, pay," IREA Working Papers 201101, University of Barcelona, Research Institute of Applied Economics, revised Feb 2011.
    84. Jordi Perdiguero-García, 2010. "“Symmetric or asymmetric gasoline prices? A metaanalysis approach”," IREA Working Papers 201013, University of Barcelona, Research Institute of Applied Economics, revised Nov 2010.
    85. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    86. Goovaerts, Marc J. & Kaas, Rob & Laeven, Roger J.A., 2010. "Decision principles derived from risk measures," Insurance: Mathematics and Economics, Elsevier, vol. 47(3), pages 294-302, December.
    87. Sung, K.C.J. & Yam, S.C.P. & Yung, S.P. & Zhou, J.H., 2011. "Behavioral optimal insurance," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 418-428.
    88. Shapiro, Arnold F., 2004. "Fuzzy logic in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 35(2), pages 399-424, October.
    89. Germà Bel & Xavier Fageda & Melania Mur, 2011. "Privatization, cooperation and costs of solid waste services in small towns," IREA Working Papers 201111, University of Barcelona, Research Institute of Applied Economics, revised Jul 2011.
    90. Daniel Albalate & Germa Bel & Xavier Fageda, 2007. "Privatization and regulation of toll motorways in europe," IREA Working Papers 200704, University of Barcelona, Research Institute of Applied Economics, revised Mar 2007.
    91. Marichal, Jean-Luc, 2004. "Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral," European Journal of Operational Research, Elsevier, vol. 155(3), pages 771-791, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jaume Belles‐Sampera & Montserrat Guillén & Miguel Santolino, 2014. "Beyond Value‐at‐Risk: GlueVaR Distortion Risk Measures," Risk Analysis, John Wiley & Sons, vol. 34(1), pages 121-134, January.
    2. Martina Nardon & Paolo Pianca, 2019. "Behavioral premium principles," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 42(1), pages 229-257, June.
    3. Martina Nardon & Paolo Pianca, 2019. "Insurance premium calculation under continuous cumulative prospect theory," Working Papers 2019:03, Department of Economics, University of Venice "Ca' Foscari".
    4. Belles-Sampera, Jaume & Guillen, Montserrat & Santolino, Miguel, 2016. "What attitudes to risk underlie distortion risk measure choices?," Insurance: Mathematics and Economics, Elsevier, vol. 68(C), pages 101-109.
    5. Schumacher Johannes M., 2018. "Distortion risk measures, ROC curves, and distortion divergence," Statistics & Risk Modeling, De Gruyter, vol. 35(1-2), pages 35-50, January.
    6. Jaume Belles-Sampera & Montserrat Guillén & José M. Merigó & Miguel Santolino, 2013. "“Indicators for the characterization of discrete Choquet integrals”," IREA Working Papers 201311, University of Barcelona, Research Institute of Applied Economics, revised May 2013.
    7. Urbina, Jilber & Guillén, Montserrat, 2013. "An application of capital allocation principles to operational risk," Working Papers 2072/222201, Universitat Rovira i Virgili, Department of Economics.
    8. Virginie Gabrel & Cécile Murat & Aurélie Thiele, 2018. "Portfolio optimization with pw-robustness," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(3), pages 267-290, September.
    9. Gia Sirbiladze, 2016. "New Fuzzy Aggregation Operators Based on the Finite Choquet Integral — Application in the MADM Problem," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 517-551, May.
    10. Merigó, José M. & Palacios-Marqués, Daniel & Zeng, Shouzhen, 2016. "Subjective and objective information in linguistic multi-criteria group decision making," European Journal of Operational Research, Elsevier, vol. 248(2), pages 522-531.
    11. Lluís Bermúdez & Antoni Ferri & Montserrat Guillén, 2014. "On the use of risk measures in solvency capital estimation," International Journal of Business Continuity and Risk Management, Inderscience Enterprises Ltd, vol. 5(1), pages 4-13.
    12. Wentao Hu & Cuixia Chen & Yufeng Shi & Ze Chen, 2022. "A Tail Measure With Variable Risk Tolerance: Application in Dynamic Portfolio Insurance Strategy," Methodology and Computing in Applied Probability, Springer, vol. 24(2), pages 831-874, June.
    13. Jaume Belles-Sampera & Montserrat Guillén & Miguel Santolino, 2013. "“Beyond Value-at-Risk: GlueVaR Distortion Risk Measures”," IREA Working Papers 201302, University of Barcelona, Research Institute of Applied Economics, revised Feb 2013.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jordi Perdiguero & Juan Luis Jiménez, 2012. "“Policy options for the promotion of electric vehicles: a review”," IREA Working Papers 201208, University of Barcelona, Research Institute of Applied Economics, revised Mar 2012.
    2. Javier Campos & Juan Luis Jiménez & Ancor Suárez-Alemán, 2012. "“Not always sunny in paradise: prices and brand diversity in touristic areas supermarkets”," IREA Working Papers 201211, University of Barcelona, Research Institute of Applied Economics, revised May 2012.
    3. Juan Luis Jiménez & Jordi Perdiguero, 2018. "Mergers and difference-in-difference estimator: Why firms do not increase prices?," European Journal of Law and Economics, Springer, vol. 45(2), pages 285-311, April.
    4. Ernest Miguélez & Rorina Moreno, 2012. "“What attracts knowledge workers? The role of space, social connections, institutions, jobs and amenities”," AQR Working Papers 201203, University of Barcelona, Regional Quantitative Analysis Group, revised Feb 2012.
    5. Jordi López-Tamayo & Vicente Royuela & Jordi Suriñach, 2012. "“Building a “quality in work” index in Spain”," IREA Working Papers 201206, University of Barcelona, Research Institute of Applied Economics, revised Feb 2012.
    6. Jordi Perdiguero, 2011. "Vertical relations and local competition: an empirical approach," IREA Working Papers 201124, University of Barcelona, Research Institute of Applied Economics, revised Dec 2011.
    7. Ana María Osorio & Catalina Bolancé & Manuela Alcañiz, 2011. "Measuring early childhood health: a composite index comparing Colombian departments," IREA Working Papers 201122, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    8. Daniel Albalate, 2012. "“The Institutional, Economic and Social Determinants of Local Government Transparency”," IREA Working Papers 201210, University of Barcelona, Research Institute of Applied Economics, revised May 2012.
    9. Juan Luis Jiménez & Carmen García, 2012. "“Corruption and local politics: does it pay to be a crook?”," IREA Working Papers 201212, University of Barcelona, Research Institute of Applied Economics, revised Jun 2012.
    10. Xavier Fageda & Marta Gonzalez-Aregall, 2012. "“Regulation of Port Charges in Spain: Global versus Local Competition”," IREA Working Papers 201217, University of Barcelona, Research Institute of Applied Economics, revised Oct 2012.
    11. Germà Bel & Xavier Fageda & Melania Mur, 2011. "Why do municipalities cooperate to provide local public services? An empirical analysis," IREA Working Papers 201118, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    12. Erika Badillo & Rosina Moreno, 2012. "“What Drives the Choice of Partners in R&D Cooperation? Heterogeneity across Sectors”," IREA Working Papers 201213, University of Barcelona, Research Institute of Applied Economics, revised Jul 2012.
    13. Esther Goya & Esther Vayá & Jordi Suriñach, 2012. "“Do intra- and inter-industry spillovers matter? CDM model estimates for Spain”," IREA Working Papers 201214, University of Barcelona, Research Institute of Applied Economics, revised Sep 2012.
    14. Miguel Santolino & Catalina Bolancé & Manuela Alcañiz, 2011. "Factors affecting hospital admission and recovery stay duration of in-patient motor victims in Spain," IREA Working Papers 201119, University of Barcelona, Research Institute of Applied Economics, revised Oct 2011.
    15. David Castells-Quintana & Vicente Royuela, 2014. "Agglomeration, inequality and economic growth," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(2), pages 343-366, March.
    16. Artis, Michael & Moreno, Rosina & Miguelez, Ernest, 2009. "Assessing agglomeration economies in a spatial framework with endogenous regressors," CEPR Discussion Papers 7267, C.E.P.R. Discussion Papers.
    17. Lluís Bermúdez & Antoni Ferri & Montserrat Guillén, 2011. "A correlation sensitivity analysis of non-life underwriting risk in solvency capital requirement estimation," Working Papers XREAP2011-12, Xarxa de Referència en Economia Aplicada (XREAP), revised Sep 2011.
    18. Peter Claeys & Luis Costa, 2012. "“A Note on the Relationship Between the Cyclicality of Markups and Fiscal Policy”," IREA Working Papers 201215, University of Barcelona, Research Institute of Applied Economics, revised Sep 2012.
    19. Mar𨁌orena Mar𑁥l Cristo & Marta G -Puig, 2013. "Pass-through in dollarized countries: should Ecuador abandon the US dollar?," Applied Economics, Taylor & Francis Journals, vol. 45(31), pages 4395-4411, November.
    20. Daniel Albalate & Germà Bel & R. Richard Geddes, 2012. "“The determinants of contractual choice for private involvement in infrastructure projects in the United States”," IREA Working Papers 201220, University of Barcelona, Research Institute of Applied Economics, revised Dec 2012.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:insuma:v:52:y:2013:i:2:p:411-420. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.