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多元Freund型指数分布的特征及参数估计 被引量：4

Characteristics and Parameter Estimation of the Multivariate Freund Exponential Distribution
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摘要 利用分布密度分拆的思想,导出了二元及多元Freund型指数分布的一个特征,利用该特征,获得了二元及多元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Fre-und型指数分布时并联结构系统的可靠度估计及模拟. Based on partitioning technique of distribution density, a characteristic of the multivariate exponential distribution of Freund is derived. Using the characteristic found, the maximum likelihood estimators and the moment estimators of parameters of the multivariate exponential distribution of Freund are obtained. In addition, the estimator of reliability is given for parallel structural system with strength showing the bi-variate exponential Freund distribution, and finally some relevant simulation results are presented.
作者 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 2006年第1期9-13,共5页 Journal of Ningbo University：Natural Science and Engineering Edition
关键词 Freund型 多元指数分布 特征 最大似然估计 矩估计 可靠度 模拟 type of Freund multivariate exponential distribution characterization maximum likelihood estima- tor moment estimator reliability simulation
分类号 O212.4 [理学—概率论与数理统计]
  • 相关文献

参考文献12

  • 1Freund R J.A bivariate extension of the exponential distribution[J].J Amer Statist Assoc,1961,56:971 -977.
  • 2叶慈南.强度为MOBVE分布时并联结构系统可靠度的估计[J].高校应用数学学报（A辑）,2000,15A(4):484-490. 被引量：11
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  • 4Marshall A W,Olkin I.A multivariate exponential distribution[J].J Amer Statist Assoc,1967,62(1):30-44.
  • 5Block H W,Basu A P.A continuous bivariate exponential extension[J].J Amer Statist Assoc,1974,69:1 031-1 037.
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  • 8Proschan F,Sullo P.Estimating the parameters of a bivariate exponential distribution in several sampling situations[A].In Reliability and Biometry,Statist,Analysis of Lifelengths[C].Proschan F,Serfling R,Philadelphia:S.I.A.M.,1974.423 -440.
  • 9李国安.二元Weinman型指数分布的特征及其应用[J].Journal of Mathematical Research and Exposition,2005,25(2):337-340. 被引量：12
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二级参考文献8

  • 1严士健，概率论基础，1982年
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  • 3JOHNSON N L, KOTZ S. Distribution in Statistics: Continuous Multivariate Distributions [M]. New York:John Wiley & Sons , 1972, 268.
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  • 5YO 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.
  • 6AZLAROV T A, VOLODIN N A. Characterization Problems Associated with the Exponential Distribution[M]. New York: Springer-Verlag, 1986.
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  • 8BALAKRISHNAN N, BASU A P. The Exponential Distribution [M]. Amsterdam: Gordon and Breach Publishers, 1995.

共引文献19

同被引文献20

  • 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
  • 3Proschan E Sullo E Estimating the parameters of a bivariate exponential distribution in several sampling situations[C]//Reliability, Biometry. Statist, Analysis of Life Lengths. Philadelphia: SIAM, 1974:423-440.
  • 4Freund R J. A bivariate extension of the exponential distribution[J]. Journal of the American Statistical Association, 1961, 56:971-977.
  • 5Marshall A W, Olkin I. A multivariate exponential distribution[J]. Journal of the American Statistical Association, 1967, 62(1):30-44.
  • 6Friday D S, Patil G P. A bivariate exponential model with applications to reliability and computer generation of random variables[C]//Tsokos C P, Shimi L. Theory and Applications of Reliability, New York: Academic Press, 1977:527-549.
  • 7Nadarajah S, Gupta A K. Friday and Patil's bivariate exponential distribution with application to drought data[J]. Water Res Manag, 2006, 20:749-759.
  • 8Vivo J M, Franco M. Reliability properties related to friday and Patil's bivariate exponential model[C]// International Conference Applied Statistics, Statistical Society of Slovenia, 2008.
  • 9Marshall Olkin I. A multivariate exponential distribution [J]. JAmer StatistAssoc, 1967, 62(1):30-44.
  • 10Proschan F,Sullo P.Estimating the parameters of a bivariate exponential distribution in several sampling situations[C]// Proschan F,Serfling R.Reliability and biometry,statist,analysis of lifelengths.Philadelphia:SIAM,1974:423-440.

引证文献4

二级引证文献9

宁波大学学报（理工版）
2006年 第1期

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