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多元Block-Basu型指数分布的特征及参数估计

A Characterization and Parameter Estimation of the Multivariate Exponential Distribution of Block-Basu
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摘要 利用分布密度分拆的思想,导出了多元Block-Basu型指数分布的特征,得到了相应参数的最大似然估计和矩估计,并给出了相应的模拟结果. Using the partitioning technique of distribution density,the characterization of Block-Basu type’s multivariate exponential distribution is made,and the maximum likelihood estimators and the moment estimators of parameters of Block-Basu type’s multivariate exponential distribution are obtained.The estimation of reliability for a series system with strength having Block-Basu type’s multivariate exponential distribution is given.Some simulation results are also provided.
作者 苏迪 李国安
机构地区 宁波大学理学院
出处 《宁波大学学报(理工版)》 CAS 2011年第2期61-65,共5页 Journal of Ningbo University:Natural Science and Engineering Edition
基金 浙江省教育厅科研项目(20061636)
关键词 多元指数分布 特征 参数估计 模拟 multivariate exponential distribution characterization parameter estimation simulation
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参考文献5

  • 1Block H W, Basu A E A continuous bivariate exponential extension[J]. J Amer Statist Assoc, 1974, 69:1031-1037.
  • 2Marshall A W, Olkin I. A multivariate exponential distribution[J]. J Amer Statist Assoc, 1967, 62(1):30-44.
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  • 5李国安.多元Marshall-Olkin型指数分布的特征及其参数估计[J].工程数学学报,2005,22(6):1055-1062. 被引量:17

二级参考文献4

  • 1Marshall A W, Olkin I. A multivariate exponential distribution[J]. Journal of the American Statistical Association, 1967;62(1):30-44.
  • 2Johnson N L, Kotz S. Distribution In Statistics. Continuous Multivariate Distributions[M]. wiley, New York, 1972.
  • 3Arnold B C. Parameter estimation for a multivariate exponential distribution[J]. Journal of the American Statistical Association, 1968;63:848-852.
  • 4Block H W. A characterization of a bivariate exponential distribution[J]. The Annals of Statistics,1977;5:808-812.

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