Characterization of Exponential Distribution Through Normalized Spacing of Generalized Order Statistics

DOI

10.2991/jsta.d.190818.004How to use a DOI?

Keywords

Continuous distribution; Generalized order statistics; Meijer's G-function; Characterization

Abstract

In this paper, exponential distribution is characterized by normalized spacing of generalized order statistics (gos) using Meijer's G-function. While the necessary part of the theorem was given by U. Kamps, E. Cramer, Statistics. 35 (2001), 269–280, we have given an easy proof of sufficient part in this paper. This paper contains the result of characterization of exponential distribution through normalized spacing of order statistics, sequential order statistics, progressive type II censoring and record values. Also, by simulation study, we have shown that the confidence interval based on upper records is shorter in length than asymptotic confidence interval constructed by maximum likelihood estimate.

Copyright

© 2019 The Authors. Published by Atlantis Press SARL.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - M. J. S. Khan
AU  - S. Iqrar
AU  - M. Faizan
PY  - 2019
DA  - 2019/09/02
TI  - Characterization of Exponential Distribution Through Normalized Spacing of Generalized Order Statistics
JO  - Journal of Statistical Theory and Applications
SP  - 303
EP  - 308
VL  - 18
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190818.004
DO  - 10.2991/jsta.d.190818.004
ID  - Khan2019
ER  -