具有浴缸形危险率的离散分布

IF 0.4 Q4 STATISTICS & PROBABILITY

SOUTH AFRICAN STATISTICAL JOURNAL Pub Date : 2017-04-18 DOI:10.37920/sasj.2017.51.1.5

N. Nair, P. Sankaran, Nidhi P. Ramesh

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引用次数: 0

摘要

具有浴缸形危险率的离散分布最近成为可靠性建模和分析的兴趣。在目前的工作中，我们解决了当寿命是离散的时，获得具有这种危险率的分布的问题。本文考虑的方法包括离散连续浴盆模型、使用分数函数构建、从减少的风险率分布构建以及目前在连续情况下可用的一些其他方法。讨论了具有浴盆形风险率的离散二次风险模型的性质及其应用。关键词:浴缸风险率，离散分布，二次风险模型，分数函数，倒立浴缸风险率

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Discrete distributions with bathtub-shaped hazard rates

Discrete distributions with bathtub shaped hazard rates have recently become of interest in reliability modelling and analysis. In the present work, we address the problem of obtaining distributions having such hazard rates when the lifetime is discrete. The methods considered here include discretising continuous bathtub models, construction using the score function, construction from decreasing hazard rate distributions and some other methods currently available in the continuous case. We discuss properties and applications of the discretised quadratic hazard model which has a bathtub shaped hazard rate. Keywords: Bathtub hazard rate, Discrete distribution, Quadratic hazard model, Score function, Upside down bathtub hazard rate

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来源期刊

SOUTH AFRICAN STATISTICAL JOURNAL STATISTICS & PROBABILITY-

CiteScore

0.30

自引率

0.00%

发文量

期刊介绍： The journal will publish innovative contributions to the theory and application of statistics. Authoritative review articles on topics of general interest which are not readily accessible in a coherent form, will be also be considered for publication. Articles on applications or of a general nature will be published in separate sections and an author should indicate which of these sections an article is intended for. An applications article should normally consist of the analysis of actual data and need not necessarily contain new theory. The data should be made available with the article but need not necessarily be part of it.