The Marshall-Olkin Weibull Truncated Negative Binomial Distribution and its Applications

IF 1.6 Q1 STATISTICS & PROBABILITY Statistica Pub Date : 2019-11-06 DOI:10.6092/ISSN.1973-2201/7496
Bindu Krishnan, Dais George
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引用次数: 1

Abstract

The Weibull distribution is one of the widely known lifetime distribution that has been extensively used for modelling data in reliability and survival analysis. A generalization of both the Marshall-OlkinWeibull distribution and the Weibull truncated negative binomial distribution is introduced and studied in this article. Various distributional properties of the new distribution are derived. Estimation of model parameters using the method of maximum likelihood is discussed. Applications to a real data set is provided to show the flexibility and potentiality of the new distribution over other Weibull models. The first order autoregressive minification process with the new distribution as marginal is also developed. We hope that the new model will serve as a good alternative to other models available in the literature for modeling positive real data in several areas.
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Marshall-Olkin Weibull截断负二项分布及其应用
威布尔分布是一种广为人知的寿命分布,已被广泛用于可靠性和生存分析中的建模数据。本文介绍并研究了Marshall-OlkinWeibull分布和Weibull截断负二项分布的推广。导出了新分布的各种分布性质。讨论了模型参数的最大似然估计方法。提供了对真实数据集的应用,以显示新分布相对于其他威布尔模型的灵活性和潜力。还发展了以新分布为边际的一阶自回归缩小过程。我们希望新模型将成为文献中其他模型的一个很好的替代品,用于对几个领域的正真实数据进行建模。
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来源期刊
Statistica
Statistica STATISTICS & PROBABILITY-
CiteScore
1.70
自引率
0.00%
发文量
0
审稿时长
10 weeks
期刊最新文献
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