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零膨胀指数Weibull分布的相关研究
Research on Zero-inflated Exponential Weibull Distribution
【作者】 杨敏；
【导师】 柳福祥；
【作者基本信息】 三峡大学 ， 概率论与数理统计， 2020， 硕士
【摘要】 本文主要对零膨胀指数Weibull分布进行了相关研究.首先介绍了指数Weibull分布及相关统计性质,在指数Weibull分布的基础上给出了零膨胀指数Weibull分布的定义,讨论了零膨胀指数Weibull分布的相关统计性质.然后给出了TypeⅠ多元零膨胀指数Weibull分布的定义,并讨论了TypeⅠ多元零膨胀指数Weibull分布的基本性质和统计推断.最后研究了零膨胀指数Weibull分布的极值分布,并讨论了极值分布的基本性质.全文总共分为五部分:第一章为绪论,首先介绍了零膨胀模型和指数Weibull分布研究的背景意义和国内外研究的现状.然后介绍本论文研究的主要内容.第二章,首先给出指数Weibull分布及相关统计性质.接着介绍了零膨胀指数Weibull分布的基本概念,并讨论该分布的相关性质.第三章,首先给出TypeⅠ多元零膨胀指数Weibull分布的定义.接着讨论了该分布的相关统计性质.第四章,先给出零膨胀指数Weibull分布的极值分布的定义,接着对该分布的极值分布的相关统计性质进行研究.第五章,对本文做的工作进行了总结,并提出进一步要研究的问题.
【Abstract】 This paper mainly studies the zero-inflated exponential Weibull distribution.Firstly,the exponential Weibull distribution and its related statistical properties are introduced.On the basis of the exponential Weibull distribution,the definition of the zero-inflated exponential Weibull distribution is given,the relevant statistical properties is given.Then,the definition of the Type Ⅰ multivariate zero-inflated exponential Weibull distribution is given,and the basic properties and statistical inference of Type Ⅰ multivariate zero-inflated exponential Weibull distribution are discussed.Finally,the extreme value distribution of zero-inflated exponential Weibull distribution is studied and its basic properties are discussed.The paper is divided into five parts:The first chapter of this paper is introduction,which firstly introduces the background significance of the research on the zero-inflated model and the exponential Weibull distribution,and the status quo of the research at home and abroad.Then the main content of this paper is introduced.In the second chapter,firstly,the exponential Weibull distribution and its related statistical properties are given.Then the basic concept of the zero-inflated exponential Weibull distribution is introduced and its relevant properties of the distribution are discussed.At the beginning of chapter three,the definition of Type Ⅰ multivariate zero-inflated exponential Weibull distribution is given,and the relevant statistical properties of the distribution are discussed.In the fourth chapter,we introduce the definition of the extreme value distribution of the zero-inflated exponential Weibull distribution,and then its relevant statistical properties are studied.In the fifth chapter,we summarize the work in this paper and put forward some further problems to be studied.