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

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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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  -