IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v161y2020ics0167715220300328.html
   My bibliography  Save this article

Independence properties of the truncated multivariate elliptical distributions

Author

Listed:
  • Levine, Michael
  • Richards, Donald
  • Su, Jianxi

Abstract

We characterize the truncated multivariate normal random vectors for which two complementary sub-vectors are mutually independent, and an analogous characterization is obtained for multivariate truncated elliptical distributions. An application to testing data on high-school and college test scores is provided.

Suggested Citation

  • Levine, Michael & Richards, Donald & Su, Jianxi, 2020. "Independence properties of the truncated multivariate elliptical distributions," Statistics & Probability Letters, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:stapro:v:161:y:2020:i:c:s0167715220300328
    DOI: 10.1016/j.spl.2020.108729
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715220300328
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2020.108729?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 search for a different version of it.

    References listed on IDEAS

    as
    1. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492, National Bureau of Economic Research, Inc.
    2. McDonald, James B. & Xu, Yexiao J., 1995. "A generalization of the beta distribution with applications," Journal of Econometrics, Elsevier, vol. 69(2), pages 427-428, October.
    3. Amemiya, Takeshi, 1974. "Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal," Econometrica, Econometric Society, vol. 42(6), pages 999-1012, November.
    4. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
    Full references (including those not matched with items on IDEAS)

    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. Torres, Marcelo de O. & Felthoven, Ronald G., 2014. "Productivity growth and product choice in catch share fisheries: The case of Alaska pollock," Marine Policy, Elsevier, vol. 50(PA), pages 280-289.
    2. Mario D. Tello, 2020. "Political Economy Approach of Trade Barriers: The Case of Peruvian’s Trade Liberalization," Documentos de Trabajo / Working Papers 2020-486, Departamento de Economía - Pontificia Universidad Católica del Perú.
    3. Wolfgang Franz, 1979. "The Duration of Youth Unemployment in West Germany: Some Theoretical Considerations," NBER Working Papers 0397, National Bureau of Economic Research, Inc.
    4. Peter Huber & Harald Oberhofer & Michael Pfaffermayr, 2014. "Job creation and the intra-distribution dynamics of the firm size distribution," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 23(1), pages 171-197, February.
    5. Bjorn, Paul A. & Vuong, Quang H., 1997. "Modèles d’équations simultanées pour variables endogènes fictives : une formulation par la théorie des jeux avec application à la participation au marché du travail," L'Actualité Economique, Société Canadienne de Science Economique, vol. 73(1), pages 161-205, mars-juin.
    6. Horrace, William C., 2005. "On ranking and selection from independent truncated normal distributions," Journal of Econometrics, Elsevier, vol. 126(2), pages 335-354, June.
    7. Shao-Hsun Keng & Wallace Huffman, 2010. "Binge drinking and labor market success: a longitudinal study on young people," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(1), pages 303-322, January.
    8. James J. Heckman, 2005. "Micro Data, Heterogeneity and the Evaluation of Public Policy Part 2," The American Economist, Sage Publications, vol. 49(1), pages 16-44, March.
    9. David Roodman, 2011. "Fitting fully observed recursive mixed-process models with cmp," Stata Journal, StataCorp LP, vol. 11(2), pages 159-206, June.
    10. Huffman, Sonya Kostova, 1999. "Changes of household consumption behavior during the transition from centrally-planned to market-oriented economy," ISU General Staff Papers 1999010108000013568, Iowa State University, Department of Economics.
    11. David Roodman, 2009. "Estimating Fully Observed Recursive Mixed-Process Models with cmp," Working Papers 168, Center for Global Development.
    12. Pablo Gálvez & Petr Mariel & David Hoyos, 2016. "Análisis de la demanda residencial de los servicios básicos en España usando un modelo QUAIDS censurado," Estudios de Economia, University of Chile, Department of Economics, vol. 43(1 Year 20), pages 5-28, June.
    13. Keng, Shao Hsun & Huffman, Wallace E., 1999. "Health, Binge Drinking, and Labor Market Success: A Longitudinal Study on Young People," ISU General Staff Papers 199911010800001331, Iowa State University, Department of Economics.
    14. Keng, Shao-Hsun, 1998. "The demand for health, alcohol abuse, and labor market outcomes: a longitudinal study," ISU General Staff Papers 1998010108000012934, Iowa State University, Department of Economics.
    15. Insoo Cho & Peter F. Orazem, 2021. "How endogenous risk preferences and sample selection affect analysis of firm survival," Small Business Economics, Springer, vol. 56(4), pages 1309-1332, April.
    16. Walter Beckert, 2015. "Choice in the Presence of Experts," Birkbeck Working Papers in Economics and Finance 1503, Birkbeck, Department of Economics, Mathematics & Statistics.
    17. Cameron, Trudy Ann & Shaw, W. Douglass & Ragland, Shannon E. & Callaway, J. Mac & Keefe, Sally, 1996. "Using Actual And Contingent Behavior Data With Differing Levels Of Time Aggregation To Model Recreation Demand," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 21(1), pages 1-20, July.
    18. Hans A. Holter & Dirk Krueger & Serhiy Stepanchuk, 2019. "How do tax progressivity and household heterogeneity affect Laffer curves?," Quantitative Economics, Econometric Society, vol. 10(4), pages 1317-1356, November.
    19. Michael Raper, 1999. "Self-selection bias and cost-of-living estimates," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 23(1), pages 64-77, March.
    20. Matthew Gentry & Tong Li & Jingfeng Lu, 2015. "Identification and estimation in first-price auctions with risk-averse bidders and selective entry," CeMMAP working papers 16/15, Institute for Fiscal Studies.

    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:stapro:v:161:y:2020:i:c:s0167715220300328. 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/wps/find/journaldescription.cws_home/622892/description#description .

    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.