截尾数据下ZZ分布的参数估计  

Parameter Estimation of ZZ Distribution Based on Censored Data

作　　者：张国志 张宁 ZHANG Guo-zhi;ZHANG Ning(Department of Applied Mathematics,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学应用数学系,哈尔滨150080

出　　处：《哈尔滨理工大学学报》2020年第1期149-153,共5页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(11551094)。

摘　　要：在可靠性统计中,寿命分布通常有4种:指数分布、韦布尔分布、极值分布、对数正态分布。但在有些实际问题中,一些元件的寿命用上述4种分布来刻画往往与实际相差甚远,这说明该元件寿命分布并不属于熟知的这4种分布。由此给出了一种新型ZZ分布,该分布较好地刻画了这类元件的寿命,并在截尾数据下对参数作出最佳线性无偏估计与简单线性无偏估计。为了便于使用附录中给出了估计所需要的数表。In reliability statistics,there are usually four types of life distributions:exponential distribution,Weibull distribution,extreme-value distribution and log-normal distribution.But in some real life applications,the results of statistical inference were found to be far from the truth if using the four life distributions to describe the life of some components.It shows that the component life distribution is not anyone of the four distributions.This paper proposes a new type of life distribution called ZZ distribution.This distribution is a better description of the life for such components.And based on censored data,the best linear unbiased estimation and the simple linear unbiased estimation of parameters were given.The required tables were given in the appendix.

关 键 词：ZZ分布 截尾数据 参数估计 简单线性无偏估计 最佳线性无偏估计 

分 类 号：O231[理学—运筹学与控制论]