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Exogenous crimes and the assessment of public safety efficiency and effectiveness

Author

Listed:
  • Thyago Celso Cavalcante Nepomuceno

    (Sapienza University of Rome
    Federal University of Pernambuco)

  • Katarina Tatiana Marques Santiago

    (Federal University of Pernambuco)

  • Cinzia Daraio

    (Sapienza University of Rome)

  • Ana Paula Cabral Seixas Costa

    (Federal University of Pernambuco)

Abstract

This work discusses the issue on how to include data about property and violent crimes in the production technology for the assessment of police technical efficiency. It applies recent advances in Directional Distances and Nonparametric Estimators. We claim that crime is an external variable not under the control of the decision units in view of the fact that it is exogenously determined. The results from the Conditional Directional Distance Analysis can be relevant to cities with high property misdemeanors and homicide rates. Our analysis may be helpful to obtain a more robust and fair classification of police and justice units under similar circumstances, determine the empirical effect of crime on police productivity, their optimal input–output relationship, explore potential associations and compensation effects, and rewarding efficient policy makers in the prevention of crime based on measures of police efficiency and effectiveness.

Suggested Citation

  • Thyago Celso Cavalcante Nepomuceno & Katarina Tatiana Marques Santiago & Cinzia Daraio & Ana Paula Cabral Seixas Costa, 2022. "Exogenous crimes and the assessment of public safety efficiency and effectiveness," Annals of Operations Research, Springer, vol. 316(2), pages 1349-1382, September.
  • Handle: RePEc:spr:annopr:v:316:y:2022:i:2:d:10.1007_s10479-020-03767-6
    DOI: 10.1007/s10479-020-03767-6
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    as
    1. Ruggiero, John, 1998. "Non-discretionary inputs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 111(3), pages 461-469, December.
    2. Cinzia Daraio & Kristiaan H.J. Kerstens & Thyago Celso Cavalcante Nepomuceno & Robin Sickles, 2019. "Productivity And Efficiency Analysis Software: An Exploratory Bibliographical Survey Of The Options," Journal of Economic Surveys, Wiley Blackwell, vol. 33(1), pages 85-100, February.
    3. Simar, Léopold & Vanhems, Anne & Wilson, Paul W., 2012. "Statistical inference for DEA estimators of directional distances," European Journal of Operational Research, Elsevier, vol. 220(3), pages 853-864.
    4. Cinzia Daraio & Leopold Simar & Paul W. Wilson, 2019. "Quality and its Impact on Efficiency," LEM Papers Series 2019/06, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    5. Gregory DeAngelo & Donald F Vitaliano & Hannes Lang, 2014. "Crime Rates and Police Efficiency," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 40(4), pages 535-559, September.
    6. Daraio, Cinzia & Simar, Léopold, 2014. "Directional distances and their robust versions: Computational and testing issues," European Journal of Operational Research, Elsevier, vol. 237(1), pages 358-369.
    7. Cinzia Daraio & Léopold Simar, 2005. "Introducing Environmental Variables in Nonparametric Frontier Models: a Probabilistic Approach," Journal of Productivity Analysis, Springer, vol. 24(1), pages 93-121, September.
    8. Amor Diez-Ticio & Maria-Jesus Mancebon, 2002. "The efficiency of the Spanish police service: an application of the multiactivity DEA model," Applied Economics, Taylor & Francis Journals, vol. 34(3), pages 351-362.
    9. Gary S. Becker, 1974. "Crime and Punishment: An Economic Approach," NBER Chapters, in: Essays in the Economics of Crime and Punishment, pages 1-54, National Bureau of Economic Research, Inc.
    10. Badin, Luiza & Daraio, Cinzia & Simar, Léopold, 2010. "Optimal bandwidth selection for conditional efficiency measures: A data-driven approach," European Journal of Operational Research, Elsevier, vol. 201(2), pages 633-640, March.
    11. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    12. Jesús T. Pastor & JosÉ L. Ruiz & Inmaculada Sirvent, 2002. "A Statistical Test for Nested Radial Dea Models," Operations Research, INFORMS, vol. 50(4), pages 728-735, August.
    13. Rolf Färe & Shawna Grosskopf & Dimitris Margaritis, 2015. "Advances in Data Envelopment Analysis," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9450, December.
    14. Arie Y. Lewin & John W. Minton, 1986. "Determining Organizational Effectiveness: Another Look, and an Agenda for Research," Management Science, INFORMS, vol. 32(5), pages 514-538, May.
    15. C. Barros & F. Alves, 2005. "Efficiency in Crime Prevention: A Case Study of the Lisbon Precincts," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 11(3), pages 315-328, August.
    16. Cinzia Daraio & Léopold Simar, 2016. "Efficiency and benchmarking with directional distances: a data-driven approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(7), pages 928-944, July.
    17. Cinzia Daraio & Léopold Simar, 2007. "Conditional nonparametric frontier models for convex and nonconvex technologies: a unifying approach," Journal of Productivity Analysis, Springer, vol. 28(1), pages 13-32, October.
    18. Simar, Léopold & Vanhems, Anne, 2012. "Probabilistic characterization of directional distances and their robust versions," Journal of Econometrics, Elsevier, vol. 166(2), pages 342-354.
    19. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
    20. Daraio, Cinzia & Kerstens, Kristiaan & Nepomuceno, Thyago & Sickles, Robin C., 2019. "Empirical Surveys of Frontier Applications: A Meta-Review," Working Papers 19-005, Rice University, Department of Economics.
    21. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2019. "A bootstrap approach for bandwidth selection in estimating conditional efficiency measures," European Journal of Operational Research, Elsevier, vol. 277(2), pages 784-797.
    22. Fukuyama, Hirofumi & Weber, William L., 2009. "A directional slacks-based measure of technical inefficiency," Socio-Economic Planning Sciences, Elsevier, vol. 43(4), pages 274-287, December.
    23. Dominique Deprins & Léopold Simar & Henry Tulkens, 2006. "Measuring Labor-Efficiency in Post Offices," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 285-309, Springer.
    24. Leigh M. Drake & Richard Simper, 2005. "The Measurement Of Police Force Efficiency: An Assessment Of U.K. Home Office Policy," Contemporary Economic Policy, Western Economic Association International, vol. 23(4), pages 465-482, October.
    25. repec:kap:iaecre:v:11:y:2005:i:3:p:315-328 is not listed on IDEAS
    26. Subhash C. Ray, 1991. "Resource-Use Efficiency in Public Schools: A Study of Connecticut Data," Management Science, INFORMS, vol. 37(12), pages 1620-1628, December.
    27. M C A Silva Portela & E Thanassoulis & G Simpson, 2004. "Negative data in DEA: a directional distance approach applied to bank branches," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1111-1121, October.
    28. Luiza Bădin & Cinzia Daraio & Léopold Simar, 2014. "Explaining inefficiency in nonparametric production models: the state of the art," Annals of Operations Research, Springer, vol. 214(1), pages 5-30, March.
    29. Ke Wang & Yujiao Xian & Chia-Yen Lee & Yi-Ming Wei & Zhimin Huang, 2019. "On selecting directions for directional distance functions in a non-parametric framework: a review," Annals of Operations Research, Springer, vol. 278(1), pages 43-76, July.
    30. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    31. Drake, Leigh & Simper, Richard, 2000. "Productivity estimation and the size-efficiency relationship in English and Welsh police forces: An application of data envelopment analysis and multiple discriminant analysis," International Review of Law and Economics, Elsevier, vol. 20(1), pages 53-73, March.
    32. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    33. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    34. Ruggiero, John, 1996. "On the measurement of technical efficiency in the public sector," European Journal of Operational Research, Elsevier, vol. 90(3), pages 553-565, May.
    35. Sun, Shinn, 2002. "Measuring the relative efficiency of police precincts using data envelopment analysis," Socio-Economic Planning Sciences, Elsevier, vol. 36(1), pages 51-71, March.
    36. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2012. "How to measure the impact of environmental factors in a nonparametric production model," European Journal of Operational Research, Elsevier, vol. 223(3), pages 818-833.
    37. Thyago Celso Cavalcante Nepomuceno & Cinzia Daraio & Ana Paula Cabral Seixas Costa, 2020. "Combining multi-criteria and directional distances to decompose non-compensatory measures of sustainable banking efficiency," Applied Economics Letters, Taylor & Francis Journals, vol. 27(4), pages 329-334, February.
    38. Wu, Tai-Hsi & Chen, Ming-Shiun & Yeh, Jin-Yii, 2010. "Measuring the performance of police forces in Taiwan using data envelopment analysis," Evaluation and Program Planning, Elsevier, vol. 33(3), pages 246-254, August.
    39. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min & Lin, Bruce J.Y., 2013. "A survey of DEA applications," Omega, Elsevier, vol. 41(5), pages 893-902.
    40. Cinzia Daraio & Léopold Simar & Paul W. Wilson, 2020. "Fast and efficient computation of directional distance estimators," Annals of Operations Research, Springer, vol. 288(2), pages 805-835, May.
    41. Johanna Leigh & Sarah Dunnett & Lisa Jackson, 2019. "Predictive police patrolling to target hotspots and cover response demand," Annals of Operations Research, Springer, vol. 283(1), pages 395-410, December.
    42. Gorman, Michael F. & Ruggiero, John, 2008. "Evaluating US state police performance using data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 113(2), pages 1031-1037, June.
    43. Roxani Karagiannis, 2015. "A system-of-equations two-stage DEA approach for explaining capacity utilization and technical efficiency," Annals of Operations Research, Springer, vol. 227(1), pages 25-43, April.
    44. Roger Carrington & Nara Puthucheary & Deirdre Rose & Suthathip Yaisawarng, 1997. "Performance Measurement in Government Service Provision: The Case of Police Services in New South Wales," Journal of Productivity Analysis, Springer, vol. 8(4), pages 415-430, November.
    45. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    46. J M Cordero-Ferrera & F Pedraja-Chaparro & D Santín-González, 2010. "Enhancing the inclusion of non-discretionary inputs in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 574-584, April.
    47. Antonio Peyrache & Cinzia Daraio, 2012. "Empirical tools to assess the sensitivity of directional distance functions to direction selection," Applied Economics, Taylor & Francis Journals, vol. 44(8), pages 933-943, March.
    48. Ostrom, Elinor, 1973. "On the meaning and measurement of output and efficiency in the provision of urban police services," Journal of Criminal Justice, Elsevier, vol. 1(2), pages 93-111.
    49. Drake, Leigh & Simper, R., 2003. "The measurement of English and Welsh police force efficiency: A comparison of distance function models," European Journal of Operational Research, Elsevier, vol. 147(1), pages 165-186, May.
    50. Thanassoulis, Emmanuel, 1995. "Assessing police forces in England and Wales using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 87(3), pages 641-657, December.
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