[1]田霆,刘次华.定时截尾缺失数据下指数分布的统计推断[J].华侨大学学报(自然科学版),2006,27(1):20-23.[doi:10.3969/j.issn.1000-5013.2006.01.005]
　Tian Ting,Liu Cihua.Statistical Inference for the Exponential Distribution under Multiply Type-Ⅰ Censoring[J].Journal of Huaqiao University(Natural Science),2006,27(1):20-23.[doi:10.3969/j.issn.1000-5013.2006.01.005]
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定时截尾缺失数据下指数分布的统计推断()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第1期
页码:
20-23
栏目:
出版日期:
2006-01-20

文章信息/Info

Title:
Statistical Inference for the Exponential Distribution under Multiply Type-Ⅰ Censoring
文章编号:
1000-5013(2006)01-0020-04
作者:
田霆; 刘次华
华侨大学数学系; 华侨大学数学系 福建泉州362021; 福建泉州362021
Author(s):
Tian Ting;  Liu Cihua
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
指数分布;  定时截尾数据缺失;  似然函数;  柯西定理
Keywords:
exponential distribution;  failare data of timing censoring;  likelihood function;  Cauchy theorem
分类号:
O211.3
DOI:
10.3969/j.issn.1000-5013.2006.01.005
文献标志码:
A
摘要:
试验数据缺失是产品寿命试验中经常遇到的情况,处理起来也比较复杂.文中在寿命分布为指数分布时,给出寻求定时截尾寿命试验数据缺失场合下样本分布参数点估计的一种近似方法.通过大量的Monte-Carlo数值模拟试验,在缺失数据数目不太大的情况下,参数估计的精度令人满意.文中还从理论上证明,可利用枢轴量-mm的分布对参数m作区间估计.
Abstract:
Mulityply type-Ⅰ censoring is a more general and much more complicated censoring mode.When product life time follows exponential distribution,an approximate method of the point-estimation for the exponential distribution under multiply type-Ⅰ censoring is provided.By the Monte-Carlo simulation,the precision for the point estimation under a large amount of samples with a small amount of lost data is successfully achieved.It is proved theoretically that interval estimation can be acquired by the distribution of the pivot m.

参考文献/References:

[1] Balasubranmanian K, Blakrishna N. Estimation for one and two-parameter exponential distributions under multiple type-Ⅱ censoring [J]. STATISTICAL PAPERS, 1992.203-216.
[2] 王乃生, 王玲玲. 定数截尾数据缺失场合下指数分布参数的Bayes估计 [J]. 应用概率统计, 2001(3):229-235.doi:10.3969/j.issn.1001-4268.2001.03.002.
[3] 徐晓岭. 定数截尾缺失数据下Weibull分布的统计推断 [J]. 应用概率统计, 1997(4):363-370.
[4] 茆诗松, 王静龙, 濮晓龙. 高等数理统计 [M]. 北京:高等教育出版社; 施普林格出版社, 2002.35-39.

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备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511027)
更新日期/Last Update: 2014-03-23