Estimation And Characteristic Of ZZ Distribution Based On Censored Data

Reliability has a wide range of applications,including industry,agriculture,military equipment,medical and health care,meteorology,insurance and many other aspects.So study for life of the components in these systems is essential.In reliability statistics,there are usually four types of life distributions-exponential distribution,Weibull distribution,extreme-value distribution and log-normal distribution.Under various sample forms,there are many research of statistical inference about the four distributions.But in some real life applications,the results of statistical inference are 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.So to explore a new type of distribution for better describing this kind of element life is necessary.This paper propose a new type of life distribution-ZZ distribution,its random variable is non-negative and it can describe the life of this kind of components better.Based on a censored data set,the best linear unbiased estimation,simple linear unbiased estimation and characteristic of the parameter estimation are given.Appendix gives tables to facilitate the use.It is important to obtain distribution of parameter estimation,which is the basis of parameter interval estimation and hypothesis testing.Based on parameter unbiased estimation,the approximate distribution of parameter estimation and confidence interval of parameter are given.And numerical examples are given.This paper has some innovation in life distribution type.The results have great significance in theoretical research and even have wide application value.