Logconcavity versus Logconvexity: A Complete Characterization
AbstractThis paper studies aspects of the broad class of log-concave probability distributions that arise in the economics of uncertainty and information. Useful properties of univariate log-concave distributions are proven without imposing differentiability of density functions. We also discuss discrete and multivariate distributions. We propose simple non-parametric testing procedures for log-concavity. The test statistics are constructed to test one of the two implications of log-concavity: increasing hazard rate or new-is-better-than-used (NBU) property. The tests for increasing hazard rate are based on sample information of the normalized spacing of the order statistics. The tests for NBU property fall into the category of Hoeffding's U-statistics. The test procedures are illustrated with well known economic data where log-concavity is usually assumed.
Download InfoTo our knowledge, this item is not available for download. To find whether it is available, there are three options:
1. Check below under "Related research" whether another version of this item is available online.
2. Check on the provider's web page whether it is in fact available.
3. Perform a search for a similarly titled item that would be available.
Bibliographic InfoPaper provided by Duke University, Department of Economics in its series Working Papers with number 95-03.
Date of creation: 1995
Date of revision:
Publication status: Published in JOURNAL OF ECONOMIC THEORY, Vol. 80, 1998, pages 350-369
Contact details of provider:
Postal: Department of Economics Duke University 213 Social Sciences Building Box 90097 Durham, NC 27708-0097
Phone: (919) 660-1800
Fax: (919) 684-8974
Web page: http://econ.duke.edu/
Other versions of this item:
- An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
- D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Heckman, James J & Honore, Bo E, 1990. "The Empirical Content of the Roy Model," Econometrica, Econometric Society, vol. 58(5), pages 1121-49, September.
- Burdett, Kenneth, 1996. "Truncated means and variances," Economics Letters, Elsevier, vol. 52(3), pages 263-267, September.
- Mark Bagnoli & Ted Bergstrom, .
"Courtship as a Waiting Game,"
_030, University of Michigan, Department of Economics.
- Bergstrom, T. & Bagnoli, M., 1990. "Courtship as a Waiting Game," Papers 90-12, Michigan - Center for Research on Economic & Social Theory.
- Bergstrom, T. & Bagnali, M., 1991. "Courtship as a Waiting Game," Papers 91-3, Michigan - Center for Research on Economic & Social Theory.
- Bergstrom, T. & Bagnoli, M., 1991. "Courtship as a waiting game," The Warwick Economics Research Paper Series (TWERPS) 386, University of Warwick, Department of Economics.
- Burdett, Kenneth & Ondrich, Jan I, 1985. "How Changes in Labor Demand Affect Unemployed Workers," Journal of Labor Economics, University of Chicago Press, vol. 3(1), pages 1-10, January.
- Flinn, Christopher J & Heckman, James J, 1983.
"Are Unemployment and Out of the Labor Force Behaviorally Distinct Labor Force States?,"
Journal of Labor Economics,
University of Chicago Press, vol. 1(1), pages 28-42, January.
- Christopher J. Flinn & James J. Heckman, 1982. "Are Unemployment and Out of the Labor Force Behaviorally Distinct Labor Force States?," NBER Working Papers 0979, National Bureau of Economic Research, Inc.
- Caplin, Andrew & Nalebuff, Barry, 1991.
"Aggregation and Imperfect Competition: On the Existence of Equilibrium,"
Econometric Society, vol. 59(1), pages 25-59, January.
- Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation for Research in Economics, Yale University.
- Caplin, A. & Nalebuff, B., 1989. "Aggregation And Imperfect Competition: On The Existence Of Equilibrium," Discussion Papers 1989_30, Columbia University, Department of Economics.
- Andrew Caplin & Barry Nalebuff, 1990.
"Aggregation and Social Choice: A Mean Voter Theorem,"
Cowles Foundation Discussion Papers
938, Cowles Foundation for Research in Economics, Yale University.
- Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
- Caplin, A. & Nalebuff, B., 1989. "Aggregation And Social Choice: A Mean Voter Theorem," Discussion Papers 1989_31, Columbia University, Department of Economics.
- Laffont, Jean-Jacques & Tirole, Jean, 1988.
"The Dynamics of Incentive Contracts,"
Econometric Society, vol. 56(5), pages 1153-75, September.
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page. reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Department of Economics Webmaster).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.