二元Freund型指数分布的特征及参数估计  

Characterization and Parameter Estimation of The Multivariate Exponential Distribution of Freund

作　　者：李国安[1] 

机构地区：[1]宁波大学数学系,宁波315211

出　　处：《大学数学》2011年第5期48-51,共4页College Mathematics

摘　　要：利用分布密度分拆的思想,导出了二元Freund型指数分布的一个特征,利用该特征,获得了二元Freund型指数分布参数的最大似然估计及矩估计,还给出了强度服从二元Freund型指数分布时并联结构系统的可靠度估计及模拟.By using partitioning technique of distribution density, a characterization of the bivariate exponential distribution of Freund are derived, using this characterization, the maximum likelihood estimators and the moment estimators of parameters of the Freund type＇s bivariate exponential distribution are obtained. Moreover, the estimator of reliability for parallel structural system with strength having the Freund type＇s bivariate exponential distribution is given, Some simulation results are also given.

关 键 词：Freund型 二元指数分布 特征 最大似然估计 矩估计 可靠度 模拟 

分 类 号：O212.4[理学—概率论与数理统计]