文章基本信息

标题：Transmuted New Generalized Inverse Weibull Distribution
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作者：Muhammad Shuaib Khan ; Robert King ; Irene Lena Hudson 等
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2017
卷号：13
期号：2
页码：277-296
DOI：10.18187/pjsor.v13i2.1523
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：This paper introduces the transmuted new generalized inverse Weibull distribution by using the quadratic rank transmutation map (QRTM) scheme studied by Shaw et al. (2007). The proposed model contains the twenty three lifetime distributions as special sub-models. Some mathematical properties of the new distribution are formulated, such as quantile function, Rényi entropy, mean deviations, moments, moment generating function and order statistics. The method of maximum likelihood is used for estimating the model parameters. We illustrate the flexibility and potential usefulness of the new distribution by using reliability data.
其他摘要：This paper introduces the transmuted new generalized inverse Weibull distribution by using the quadratic rank transmutation map (QRTM) scheme studied by Shaw et al. (2007). The proposed model contains the twenty three lifetime distributions as special sub-models. Some mathematical properties of the new distribution are formulated, such as quantile function, Rényi entropy, mean deviations, moments, moment generating function and order statistics. The method of maximum likelihood is used for estimating the model parameters. We illustrate the flexibility and potential usefulness of the new distribution by using reliability data.
关键词：New generalized inverse Weibull distribution;moment estimation;moment generating function;order statistics;maximum likelihood estimation.