Journal of Statistical Theory and Applications

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Volume 15, Issue 2, June 2016, Pages 108 - 114

Characterizing Distributions by Linearity of Regression of Generalized Order Statistics

Authors
Abbas Rasouli, S. Samadi, Mohammad Ahsanullah
Corresponding Author
Abbas Rasouli
Received 5 August 2014, Accepted 24 February 2016, Available Online 1 June 2016.
DOI
10.2991/jsta.2016.15.2.1How to use a DOI?
Keywords
Conditional expectation; generalized order statistics; Linearity of regression.
Abstract

Let X1,..., Xn be a random sample from an absolutely continuous (with respect to Lebesgue measure) distribution with the corresponding generalized order statistics X(1, n, m~, k),..., X(n, n, m~, k). In this paper, we present some characterization of distributions when linearity of regression E[X(s, n, m~, k)|X(r, n, m~, k)=x]=ax+b is identified.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Next Article In Issue>
Journal
Journal of Statistical Theory and Applications
Volume-Issue
15 - 2
Pages
108 - 114
Publication Date
2016/06/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2016.15.2.1How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Abbas Rasouli
AU  - S. Samadi
AU  - Mohammad Ahsanullah
PY  - 2016
DA  - 2016/06/01
TI  - Characterizing Distributions by Linearity of Regression of Generalized Order Statistics
JO  - Journal of Statistical Theory and Applications
SP  - 108
EP  - 114
VL  - 15
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.2.1
DO  - 10.2991/jsta.2016.15.2.1
ID  - Rasouli2016
ER  -