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多元Friday—Patil型指数分布的特征及参数估计
引用本文:陆吉杭,李国安.多元Friday—Patil型指数分布的特征及参数估计[J].宁波大学学报(理工版),2011,24(4):72-78.
作者姓名:陆吉杭  李国安
作者单位:宁波大学理学院,浙江宁波,315211
摘    要:讨论二元Friday—Patil型指数分布的多元形式,以及对应的多元指数分布的特征与参数估计.利用分布密度函数等价分拆思想,导出了二元Friday—Patil型指数分布的多元推广,得到了多元Friday—Patil型指数分布的特征,并利用该特征获得了相应参数的最大似然估计及矩估计.因此,多元Friday—Patil型指数分布是一个有特征的混合型分布.

关 键 词:Friday—Patil型  多元指数分布  特征  最大似然估计  矩估计

Characterization and Parameter Estimation of the Multivariate Exponential Distribution of Friday-Patil
LU Ji-hang,LI Guo-an.Characterization and Parameter Estimation of the Multivariate Exponential Distribution of Friday-Patil[J].Journal of Ningbo University(Natural Science and Engineering Edition),2011,24(4):72-78.
Authors:LU Ji-hang  LI Guo-an
Institution:LU Ji-hang,LI Guo-an(Faculty of Science,Ningbo University,Ningbo 315211,China)
Abstract:The article discusses the multivariate extension of the bivariate exponential distribution of Friday- Patil, and characterization and parameter estimation of the multivariate exponential distribution of Friday-Patil are presented. Based on the method of partitioning technique of distribution density, the maximum likelihood estimators and the moment estimators of parameters of the Friday-Patil type's multivariate exponential distribution are obtained. The conclusion can finally be made that the Friday-Patil type's multivariate exponential distribution is a mixed type exponential distribution with its characteristics.
Keywords:Friday-Patil type's  multivariate exponential distribution  characterization  maximum likelihood estimators  moment estimators
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