数学杂志2013,Vol.33Issue(1):167-174,8.
Burr Ⅻ分布参数的经验Bayes估计的渐近最优性
ASYMPTOTICAL OPTIMALITY OF EMPIRICAL BAYES ESTIMATION FOR THE PARAMETER OF BURR XII DISTRIBUTION
摘要
Abstract
In this paper, the empirical Bayes estimation problem of the parameter for Burr XII distribution is investigated. By the recursive kernel estimation of probability density function, the empirical Bayes (EB) estimator is constructed. It is shown that the asymptotically optimal property and convergence rate of proposed EB estimator are obtained under suitable conditions.关键词
Burr Ⅻ分布/递归核估计/经验Bayes估计/渐近最优性/收敛速度Key words
Burr XII distribution/ recursive kernel estimation/ empirical Bayes estimation/ asymptotic optimality/ convergence rate分类
数理科学引用本文复制引用
彭家龙,杜伟娟,袁莹,李体政..Burr Ⅻ分布参数的经验Bayes估计的渐近最优性[J].数学杂志,2013,33(1):167-174,8.基金项目
陕西省教育厅专项科研基金资助(11JK0495) (11JK0495)
国家自然科学基金资助(10971161) (10971161)
西安建筑科技大学青年科技基金资助(QN1136 ()
QN1243). ()