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两参数指数-威布尔分布形状参数的经验贝叶斯估计 被引量：9

The Empirical Bayes Estimation of Shape-Parameter of Two-Parameter Exponentiaed-Weibull Distribution
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摘要 研究了两参数指数-威布尔分布形状参数的经验贝叶斯(EB)估计问题,并假定当其中一个形状参数α已知时,给出了另一个形状参数θ在两种不同损失函数情况下的EB估计的表达式.并运用随机模拟方法,将两种不同损失函数下的EB估计进行了比较. In this paper, we study the empirical Bayes estimation of shape-parameter of two- parameter exponentiaed-Weibull distribution in exponential reliability model, when one shape- parameter is fixed, the empirical Bayes estimator expressions of another shape-parameter under two loss functions are given. Then, we compare EB estimations under two loss functions by means of Monte Carlo simulation.
作者 史建红 吴海霞
机构地区 东北财经大学博士后流动站 山西师范大学数学与计算机科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2009年第3期201-208,共8页 Mathematics in Practice and Theory
基金 山西省青年科学基金资助项目(2008021007) 山西师范大学自然科学基金资助项目(YZ06001)
关键词 两参数指数-威布尔分布 经验贝叶斯估计 非参数多项式密度估计 Two-parameter exponentiaed weibull distribution Empiricial Bayes estimation The nonparametric polynomial density estimate
分类号 O212.8 [理学—概率论与数理统计]
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参考文献8

  • 1Singh U, Gupap P K, Upadhyay S K. Estimation of parameters for exponentiated-weibull family under type- Ⅱ censoring scheme[J]. Computitional statistics Data Analysis, 2005,48 : 509-523.
  • 2Singh U, Gupap P K, Upadhyay S K. Estimation of three-parameter for exponentiated-weibull family under type- Ⅱ censoring scheme[J].Journal of statistical planning and inference,2005,134:350-372.
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  • 4冯艳,师义民,周巧娟.双边定数截尾情形下指数-威布尔分布参数的Bayes估计[J].系统工程,2006,24(9):117-120. 被引量：16
  • 5冯艳,师义民,严惠云.定数截尾两参数指数——威布尔分布形状参数的Bayes估计[J].数学的实践与认识,2007,37(5):65-70. 被引量：20
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二级参考文献10

  • 1Singh U,Gupta P K,Upadhyay S K.Estimation of parameters for exponentiated-Weibull family under type-Ⅱ censoring scheme[J].Comuputational Statistics & Data Analysis,2005,48:509～523.
  • 2Singh U,Gupta P K,Upadhyay S K.Estimation of three-parameter exponentiated-Weibull distribution under type-Ⅱ censoring[J].Journal of statistical planning and inference,2005,134:350～372.
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  • 8Amit Choudhury. A simple derivation of moments of the exponentiated weibull distribution[J]. Metrika.2005,62:17-22.
  • 9Singh U, Gupta P K, Upadhyay S K. Estimation of parameters for exponentiated-Weibull family under type-Ⅰ censoring scheme[J]. Comuputational Statistics & Data Analysis,2005,48:509-523.
  • 10王德辉,宋立新.熵损失函数下定时截尾情形参数的Bayes估计[J].东北师大学报（自然科学版）,1999,31(2):103-107. 被引量：19

共引文献30

同被引文献47

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二级引证文献30

数学的实践与认识
2009年 第3期

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