Journal of Statistical Theory and Applications

Volume 13, Issue 3, September 2014, Pages 222 - 234

Characterizations of a Class of Distributions by Dual Generalized Order Statistics and Truncated Moments

Authors
Filippo Domma, G.G. Hamedani
Corresponding Author
Filippo Domma
Received 11 June 2014, Accepted 21 August 2014, Available Online 30 September 2014.
DOI
10.2991/jsta.2014.13.3.4How to use a DOI?
Keywords
Moments; Dual generalized order statistics; Recurrence relations; Characterizations of distributions
Abstract

The problem of characterizing a distribution is an important problem which has recently attracted the attention of many researchers. Thus, various characterizations have been established in many different directions. The present work deals with the characterizations of a general class of distributions. These characterizations are based on: (i) a simple relationship between two truncated moments, (ii) truncated moment of certain functions of the nth order statistic, (iii) single truncated moment of certain functions of the random variable and (iv) moments of dual generalized order statistics.We like to mention that the characterization (i) which is expressed in terms of the ratio of truncated moments is stable in the sense of weak convergence. We also study the recurrence relations between moments of dual generalized order statistics of this class of distributions.

Copyright
© 2013, 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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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 3
Pages
222 - 234
Publication Date
2014/09/30
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2014.13.3.4How to use a DOI?
Copyright
© 2013, 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

TY  - JOUR
AU  - Filippo Domma
AU  - G.G. Hamedani
PY  - 2014
DA  - 2014/09/30
TI  - Characterizations of a Class of Distributions by Dual Generalized Order Statistics and Truncated Moments
JO  - Journal of Statistical Theory and Applications
SP  - 222
EP  - 234
VL  - 13
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.3.4
DO  - 10.2991/jsta.2014.13.3.4
ID  - Domma2014
ER  -