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首页> 外文期刊>International Journal of Statistics and Probability >Some Generalized Families of Weibull Distribution: Properties and Applications
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Some Generalized Families of Weibull Distribution: Properties and Applications

机译：威布尔分布的一些普遍系列：属性和应用

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摘要

The Weibull distribution has been applied in various fields, especially to fit life time data. Some of these applications are limited partly due to the fact that the distribution has monotonically increasing, monotonically decreasing or constant hazard rate. This limitation undoubtedly inspired researchers to develop generalized Weibull distribution that can exhibit unimodal or bathtub hazard rate. In this article, we introduce six new families of T-Weibull{Y} distributions arising from the quantile function of a random variable Y. These six families are: The T-Weibull{uniform}, T-Weibull{exponential}, T-Weibull{log-logistic}, T-Weibull{Fréchet}, T-Weibull{logistic} and T-Weibull{extreme value}. Some properties of these families are discussed and general expressions for the quantile function, the Shannon’s entropy, the non-central moments and the mean deviations are provided. Different new members of the T-Weibull{Y} families are derived and some of their properties are discussed. Two real data sets are used to illustrate the potential usefulness of the T-Weibull{Y} distributions and the results are compared with the results from some existing distributions.
机译：Weibull分布已应用于各种领域，尤其是适合寿命数据。其中一些应用部分是有限的，部分原因是分布在单调上增加，单调地减小或持续危险率。这种限制无疑激发了研究人员，开发了可以表现出单向或浴缸危险率的广义威布尔分布。在本文中，我们介绍了从随机变量Y的分位数函数引起的六个新的T-Weibull {Y}分布。这六个家庭是：T-Weibull {统一}，T-Weibull {指数}，T-威布尔{log-logistic}，t-weibull {fréchet}，t-weibull {logistic}和t-weibull {极值}。讨论了这些家庭的一些性质，并为量子函数，香农的熵，非中央矩和平均偏差提供了一般表达。派生T-Weibull {Y}系列的不同新成员，并讨论了一些属性。两个真实数据集用于说明T-Weibull {Y}分布的潜在有用性，并且将结果与一些现有分布的结果进行比较。

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