Article
On the Skewness of Order Statistics with Applications
Annals of Operations Research
Document Type
Post-Print
Publication Date
1-1-2012
Subjects
- Mathematical statistics,
- Stochastic models,
- Exponential families (Statistics),
- Variables (Mathematics),
- Stochastic analysis
Disciplines
Abstract
Order statistics from heterogenous samples have been extensively studied in the literature. However, most of the work focused on the effect of heterogeneity on the magnitude and dispersion of order statistics. In this paper, we study the skewness of order statistics from heterogeneous samples in the sense of star order. The main results extended the results in Kochar and Xu (2009, 2011). Examples and applications in statistical inference are highlighted.
Rights
Copyright © 2012, Springer Science Business Media, LLC
Locate the Document
DOI
10.1007/s10479-012-1212-4
Persistent Identifier
http://archives.pdx.edu/ds/psu/9532
Citation Information
Published as: Kochar, S., & Xu, M. (2012). On the skewness of order statistics with applications. Appears in Annals of Operations Research. 198 (1).
NOTICE: this is the author’s version of a work that was accepted for publication in Annals of Operations Research. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Annals of Operations Research, 198 (1).