Odd central moments of unimodal distributions

Claude Bélisle

Statistics & Probability Letters, 1991, vol. 12, issue 2, 97-107

Abstract: We present a simple geometric condition under which all existing odd central moments of a unimodal distribution are non-negative. The criterion applies to both the absolutely continuous case and the lattice case. In the lattice case, the result proves and generalizes a conjecture of Frame, Gilliland and Hsing. In the absolutely continuous case, the result provides a new proof of results of Hannan and Pitman, Runnenburg, and MacGillivray. The main idea is a new decomposition result for unimodal distributions.

Keywords: Unimodal; distribution; symmetric; distribution; skewness; central; moments (search for similar items in EconPapers)
Date: 1991
References: Add references at CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0167-7152(91)90052-S
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:12:y:1991:i:2:p:97-107

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 ().