[1]田霆.定时截尾的Weibull分布双参数近似估计[J].华侨大学学报(自然科学版),2007,28(4):441-443.[doi:10.3969/j.issn.1000-5013.2007.04.028]
　TIAN Ting.Approximate Parameter Estimation of Weibull Distribution under Type-I Censoring Sample[J].Journal of Huaqiao University(Natural Science),2007,28(4):441-443.[doi:10.3969/j.issn.1000-5013.2007.04.028]
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定时截尾的Weibull分布双参数近似估计()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第28卷
期数:
2007年第4期
页码:
441-443
栏目:
出版日期:
2007-10-20

文章信息/Info

Title:
Approximate Parameter Estimation of Weibull Distribution under Type-I Censoring Sample
文章编号:
1000-5013(2007)04-0441-03
作者:
田霆
华侨大学数学科学学院 福建泉州362021
Author(s):
TIAN Ting
School of Mathematics Science, Huaqiao University, Quanzhou 362021, China
关键词:
Weibull分布;  定时截尾;  标准指数分布;  近似估计
Keywords:
Weibull distribution;  type-I censoring;  normal exponential distribution;  approximate estimation
分类号:
O212
DOI:
10.3969/j.issn.1000-5013.2007.04.028
文献标志码:
A
摘要:
利用纠偏思想,讨论定时截尾情形下Weibull分布的双参数的近似估计,并进行Monte-Carlo数值模拟试验.从模拟实验结果与Sirvanci提出的方法的模拟结果相比可以看出,纠偏法有时偏差较大,有时偏差较小.当产品数n比较大时,参数估计的精度还是令人满意的.分析表明,所给出的两参数估计方法是可行的.
Abstract:
Approximate parameter estimation is provided and the Mante-Carlo simulation is done for two parameters Weibull distribution under type-I censoring by the thought of modifying.It is shown by comparing our simulation with the simulation provided by Sirvanci: The deviation sometimes is large and sometimes is small.However,the precision of the parameter estimation under a large amount of samples is all right.It is also shown by the analysis that the estimation method with two parameters is suitable.

参考文献/References:

[1] 茆诗松, 王玲玲. 可靠性统计 [M]. 上海:华东师范大学出版社, 1984.136-156.
[2] RVANCI M, YANG G. Estimation of the Weibull parameters under type-Ⅰ censoring [J]. JASA, 1984.183-187.
[3] 翟伟丽, 茆诗松. 定时截尾场合下双参数指数分布的参数估计 [J]. 应用概率统计, 2002(2):197-204.doi:10.3969/j.issn.1001-4268.2002.02.013.
[4] 徐晓岭. 两参数Weibull分布定数、定时截尾下序进应力加速应力加速寿命试验的统计分析 [J]. 数理统计与应用概率统计, 1995(1):87-93.

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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