On certain characterization of normal distribution

Krzysztof Oleszkiewicz

Statistics & Probability Letters, 1997, vol. 33, issue 3, 277-280

Abstract: A conjecture of Bobkov and Houdré (1995), recently proved by Kwapien et al. (1995), stated that if X and Y are symmetric i.i.d. real random variables such that P((X + Y)/[radical sign]2 > t) [less-than-or-equals, slant] P(X > t) for any t> 0, then X has normal distribution. In this note, we give some generalization of their result with a short and simple proof which can be useful in some other cases.

Keywords: Normal; distribution (search for similar items in EconPapers)
Date: 1997
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(96)00137-X
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:33:y:1997:i:3:p:277-280

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

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 ().