Strictly log-concave probability distributions in discrete response models

Eleni Aristodemou

Statistics & Probability Letters, 2023, vol. 193, issue C

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.

Keywords: Discrete response models; Strict log-concavity (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167715222001961
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:193:y:2023:i:c:s0167715222001961

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2022.109683

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().