• 论文 •

### 指数分布抽样基本定理及在四参数二元Marshall-Olkin型指数分布参数估计中的应用

• 出版日期:2016-07-15 发布日期:2016-07-06

### parameter estimation in the four-parameter bivariate exponential distribution of Marshall and Olkin

Li Guoan

• Online:2016-07-15 Published:2016-07-06

Abstract:

This article raises the sampling theorem of exponential distribution, and applies it into parameter estimation of four-parameter bivariate exponential distribution of Marshall and Olkin. Through the analysis of parameter identification, it obtains an expression, in which, the distribution function is denoted by the identifiable minimum formula, hence, the Characterization of four-parameter bivariate exponential distribution of Marshall and Olkin is devived. Therefore, depending on the random sampling equivalence of bivariate exponential distribution and bivariate identifiable minimum value, it gets the maximum likelihood estimation of the parameter, which is based on the random sampling of bivariate identifiable minimum value, applies the fundamental sampling theorem of exponential distribution, and obtains the uniformly minimum variance unbiased estimator (UMVUE) of the parameter of four-parameter bivariate exponential distribution of Marshall and Olkin.