[1]高艳红,周秀轻.一种新的寿命分布[J].南京师范大学学报(自然科学版),2012,35(04):18-24.
 Gao Yanhong,Zhou Xiuqing.A New Life Distribution[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(04):18-24.
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一种新的寿命分布()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第35卷
期数:
2012年04期
页码:
18-24
栏目:
数学
出版日期:
2012-12-20

文章信息/Info

Title:
A New Life Distribution
作者:
高艳红;周秀轻;
南京师范大学数学科学学院,江苏南京210023
Author(s):
Gao YanhongZhou Xiuqing
School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China
关键词:
EM 算法Rayleigh 分布危险率函数几何分布生存函数极大似然估计
Keywords:
EM algorithmRayleigh distribution failure rate geometric distribution lifetime distributionsmaximum likelihood estimation
分类号:
O212.1
摘要:
本文介绍了一种带有两个参数的且危险率函数单调递增的分布,讨论了这种分布的各种性质,并给出了参数的极大似然估计.利用EM算法得到了参数所满足的迭代方程组以及极大似然估计的渐近方差-协方差阵.
Abstract:
A two-parameter distribution with increasing failure rate is introduced. Various properties are discussed and the estimation of parameters is studied by the method of maximum likelihood. The estimates are attained by the EM algorithm and expressions for their asymptotic variances and covariances are obtained.

参考文献/References:

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[3] Rasool Tahmasbia,Sadegh Rezaeib. A two-parameter lifetime distribution with decreasing failure rate[J]. Computational Statistics and Data Analysis, 2008, 52( 8) : 3 889 - 3 901.
[4] Chen Zhenmin. A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function[J]. Statistics Probability Letters, 2000, 49( 2) : 155 - 161.
[5] Xie M,Tang Y,Goh T N. A modified Weibull extension with bathtub-shaped failure rate function[J]. Reliability Engineering and System Safety, 2002, 76( 3) : 279 - 285.
[6] Wu Zhongwu,Lu Hailin,Chen Chonghong,et al. Statistical inference about the shape parameter of the new two-parameter bathtub-shaped lifetime distribution[J]. Research, 2004, 20( 6) : 607 - 616.
[7] 刘式适,刘式达. 特殊函数[M]. 北京: 气象出版社, 2002: 2 - 10.
[8] Dempster A P,Laird N M,Rubin D B. Maximum likelihood from incomplete data via the EM algorithm[J]. Journal of the Royal Statistical Society B, 1977, 39( 1) : 1 - 38.
[9] 王松桂. EM 算法[J]. 应用数学与计算数学, 1983( 6) : 43 - 48.

相似文献/References:

[1]任瑞,周秀轻.逐步Ⅰ型区间删失数据下的参数估计[J].南京师范大学学报(自然科学版),2011,34(03):7.
 Ren Rui,Zhou Xiuqing.Parameter Estimations Under Progressive Type-Ⅰ Interval Censoring[J].Journal of Nanjing Normal University(Natural Science Edition),2011,34(04):7.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10771104) .通讯联系人: 高艳红,硕士,助教,研究方向: 生存分析. E-mail: goalgyh@163. com
更新日期/Last Update: 2013-03-11