逆key分布:属性和应用

IF 0.4 Q4 STATISTICS & PROBABILITY

SOUTH AFRICAN STATISTICAL JOURNAL Pub Date : 2017-04-18 DOI:10.37920/sasj.2017.51.1.3

C. Kumar, S. H. S. Dharmaja

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引用次数: 2

摘要

本文提出了一类新的分布——“逆凯斯分布”，并通过推导其百分位测度、原始矩测度、可靠度测度等的表达式，研究了该分布的一些重要方面。讨论了分布参数的极大似然估计，并将分布拟合到实际数据集上。利用模拟数据集研究了分布参数的极大似然估计量的渐近性。关键词:Beta广义逆威布尔分布，故障率，广义逆威布尔分布，极大似然估计，模型选择，百分位测度

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Inverse Kies distribution: Properties and applications

In this paper, a new class of distribution namely “the inverse Kies distribution” is proposed and some of its important aspects are studied by deriving expressions for its percentile measures, raw moments, reliability measures etc. The maximum likelihood estimation of the parameters of the distribution is discussed and the distribution has been fitted to certain real life data sets. The asymptotic behaviour of maximum likelihood estimators of the parameters of the distribution are also studied by using simulated data sets. Keywords: Beta generalised inverse Weibull distribution, Failure rate, Generalised inverse Weibull distribution, Maximum likelihood estimation, Model selection, Percentile measures

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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.