Parameter Estimation of ZZ Distribution Based on Censored Data

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...

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Bibliographic Details
Main Authors: ZHANG Guo-zhi, ZHANG Ning
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2020-02-01
Series:Journal of Harbin University of Science and Technology
Subjects:
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1835
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Summary: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.
ISSN:1007-2683