A simple approach for testing constant failure rate against different ageing classes for discrete data

Q Mathematics Statistical Methodology Pub Date : 2015-07-01 DOI:10.1016/j.stamet.2015.02.001

K.K. Sudheesh , P. Anisha , C.M. Deemat

引用次数: 5

Abstract

In this paper, we develop simple non-parametric test based on U-statistics for testing constant failure rate against IFR, IFRA, DMRL, NBU and NBUE alternatives. The asymptotic properties of the test statistics are studied. In particular, the test statistics are shown to be asymptotically normal and consistent against the relevant alternatives. Some numerical results are presented to demonstrate the performance of the proposed tests.

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对离散数据的不同老化类别测试恒定故障率的简单方法

在本文中，我们开发了基于u统计量的简单非参数测试，用于测试IFR, IFRA, DMRL, NBU和NBUE替代方案的恒定故障率。研究了检验统计量的渐近性质。特别是，测试统计量被证明是渐近正态的，并且相对于相关的选择是一致的。给出了一些数值结果来验证所提出的测试方法的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistical Methodology STATISTICS & PROBABILITY-

CiteScore

0.59

自引率

0.00%

发文量

期刊介绍： Statistical Methodology aims to publish articles of high quality reflecting the varied facets of contemporary statistical theory as well as of significant applications. In addition to helping to stimulate research, the journal intends to bring about interactions among statisticians and scientists in other disciplines broadly interested in statistical methodology. The journal focuses on traditional areas such as statistical inference, multivariate analysis, design of experiments, sampling theory, regression analysis, re-sampling methods, time series, nonparametric statistics, etc., and also gives special emphasis to established as well as emerging applied areas.