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Strictly log-concave probability distributions in discrete response models

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  • Aristodemou, Eleni

Abstract

This paper extends the results of Prékopa (1973,1980) on strictly log-concave cumulative distributions to strictly log-concave probability distributions. It is shown that if a random variable follows a strictly logarithmic concave distribution, then the probability that the random variable is contained within a convex polytope is also strictly logarithmic concave. This formal result can be useful for identification and estimation of a general class of linear-index discrete response models, where the additively separable unobservable follows a strictly log-concave distribution.

Suggested Citation

  • Aristodemou, Eleni, 2023. "Strictly log-concave probability distributions in discrete response models," Statistics & Probability Letters, Elsevier, vol. 193(C).
    • Handle: RePEc:eee:stapro:v:193:y:2023:i:c:s0167715222001961
    DOI: 10.1016/j.spl.2022.109683
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    1. Delle Site, Paolo & Kilani, Karim & Gatta, Valerio & Marcucci, Edoardo & de Palma, André, 2019. "Estimation of consistent Logit and Probit models using best, worst and best–worst choices," Transportation Research Part B: Methodological, Elsevier, vol. 128(C), pages 87-106.
    2. Simon Peters & Andrew Chesher, 2000. "On the Use of Enumeration for Investigating the Performance of Hypothesis Tests for Economic Models with a Discrete Response Variable," Computational Economics, Springer;Society for Computational Economics, vol. 15(3), pages 273-289, June.
    3. Orme, Chris D. & Ruud, Paul A., 2002. "On the uniqueness of the maximum likelihood estimator," Economics Letters, Elsevier, vol. 75(2), pages 209-217, April.
    4. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    5. Greene,William H. & Hensher,David A., 2010. "Modeling Ordered Choices," Cambridge Books, Cambridge University Press, number 9780521194204.
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