期刊文献+

二元Weinman型指数分布的特征及其应用 被引量:12

Characterization of the Bivariate Exponential Distribution of Weinman and Its Application
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摘要 导出了Weinman型二元指数分布的一个特征,由此获得了参数θj(j=0,1)的最大似然估计及矩估计,给出了二元Weinman型指数分布的二种模拟,还得到了强度为二元Weinman分布时并联结构系统可靠度的估计. A characterization of the bivariate exponential distribution of Weinman is derived. Then, it is used to obtain the maximum likelihood estimators and the moment estimators of parameters of the Weinman type's bivariate exponential distribution, as well as two simulations of the bivariate exponential distribution of Weinman. Moreover, the estimator of reliability for parallel structural system with strength having the Weinman type's bivariate exponential distribution are also given.
作者 李国安
机构地区 宁波大学数学系
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2005年第2期337-340,共4页 数学研究与评论(英文版)
关键词 Weinman型 二元指数分布 并联结构系统 可靠度 似然估计 Weinman type bivariate exponential distribution characterization parameter estimation simulation reliability.
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参考文献7

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  • 2JOHNSON N L, KOTZ S. Distribution in Statistics: Continuous Multivariate Distributions [M]. New York:John Wiley & Sons , 1972, 268.
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  • 4YO Ci-nan. Estimate of reliability for parallel structural system with strength having MOBVE distribution[J].Appl. Math. J. Chinese Univ. Ser. A, 2000, 15: 484-490.
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同被引文献76

  • 1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
  • 2王立洪,李国安.多元Proshan-Sullo型指数分布的特征[J].宁波大学学报(理工版),2006,19(3):360-362. 被引量:5
  • 3李国安.二元Block~Basu型指数分布的特征及其应用[J].数学的实践与认识,2007,37(10):178-184. 被引量:4
  • 4Marshall A W, Olkin I. A multivariate exponential distribution [J]. Journal of The American Statis- tical Association, 1967, 62: 30-44.
  • 5Johnson N L, Kotz S. Distribution in Statistics.- Continuous Multivariate Distributions [M]. New York: John Wiley&:Sons, 1972.
  • 6Arnold B C. Parameter estimation for a multivariate exponential distribution [J]. Journal of the American Statistical Association, 1968, 63: 848-852.
  • 7Block H W. A characterization of a bivariate exponential distribution [J]. The Annals of Statistics, 1977, 5: 808-812.
  • 8Freund R J. A bivariate extension of the exponential distribution[J]. J. Amer. Statist. Assoc. , 1961, 56(4): 971-977.
  • 9Weinman D G. A multivariate extension of the exponential distribution[J]. Ph. D. thesis, Arizona State University, 1966.
  • 10Marshall A W. Olkin I A multivariate exponential distribution[J]. J. Amer. Statist. Assoc. , 1967, 62 (1) :30-44.

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