A New Test for Exponentiality Versus NBUmgf Life Distributions Based on Laplace Transform

被引：13

作者：

Atallah, M. A. ^{[1
]}

Mahmoud, M. A. W. ^{[2
]}

Al- Zahrani, B. M. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Dept Stat, Fac Sci, Jeddah 21589, Saudi Arabia

[2] Al Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt

来源：

QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL | 2014年 / 30卷 / 08期

关键词：

Laplace transform; U-statistic; hypothesis testing; efficiency; goodness of fit;

D O I：

10.1002/qre.1557

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we derive a new test statistic for testing exponentiality against ?the new better than used in the moment generating function order ageing class' (NBUmgf). The critical values and the powers of this test are calculated to assess the performance of the test. It is shown that the proposed test has high efficiencies for some commonly used distributions in reliability. Sets of real data are used as examples to elucidate the use of the proposed test for practical problems. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：1353 / 1359

页数：7

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