Characterization of Exponential Distribution Through Normalized Spacing of Generalized Order Statistics

被引：1

作者：

Khan, M. J. S. ^{[1
]}

Iqrar, S. ^{[1
]}

Faizan, M. ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Stat & Operat Res, Aligarh 202002, Uttar Pradesh, India

来源：

JOURNAL OF STATISTICAL THEORY AND APPLICATIONS | 2019年 / 18卷 / 03期

关键词：

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

D O I：

10.2991/jsta.d.190818.004

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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. (C) 2019 The Authors. Published by Atlantis Press SARL.

引用

页码：303 / 308

页数：6

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