数学季刊 ›› 2023, Vol. 38 ›› Issue (1): 97-110.doi: 10.13371/j.cnki.chin.q.j.m.2023.01.007
• • 上一篇
收稿日期:2021-10-19
出版日期:2023-03-30
发布日期:2023-03-20
通讯作者:
LONG Qin-yi (1998-), female, native of Jingmen, Hubei, graduate student of Yangtze University,
engages in probability and statistics
E-mail:longqy98@163.com
作者简介: LONG Qin-yi (1998-), female, native of Jingmen, Hubei, graduate student of Yangtze University,
engages in probability and statistics; XU Li-ping (1980-), female, native of Weifang, Shandong, associate
professor of Yangtze University, engages in probability and statistics.
基金资助:
Received:2021-10-19
Online:2023-03-30
Published:2023-03-20
Contact:
LONG Qin-yi (1998-), female, native of Jingmen, Hubei, graduate student of Yangtze University,
engages in probability and statistics
E-mail:longqy98@163.com
About author: LONG Qin-yi (1998-), female, native of Jingmen, Hubei, graduate student of Yangtze University,
engages in probability and statistics; XU Li-ping (1980-), female, native of Weifang, Shandong, associate
professor of Yangtze University, engages in probability and statistics.
Supported by:摘要： Firstly, the maximum likelihood estimate and asymptotic confidence interval
of the unkown parameter for the Topp-Leone distribution are obtained under Type-I left
censored samples, furthermore, the asymptotic confidence interval of reliability function
is obtained based on monotonicity. Secondly, under different loss functions, the Bayesian
estimates of the unkown parameter and reliability function are obtained, and the expected
mean square errors of Bayesian estimates are calculated. Monte-Carlo method is used to
calculate the mean values and relative errors of the estimates. Finally, an example of life
data is analyzed by using the statistical method in this paper.
中图分类号:
龙沁怡, 徐丽平. I型左删失下Topp–Leone分布的参数及可靠度函数的估计[J]. 数学季刊, 2023, 38(1): 97-110.
LONG Qin-yi, XU Li-ping. Estimates of the Parameter and Reliability Function for the Topp-Leone Distribution under Type-I Left Censoring[J]. Chinese Quarterly Journal of Mathematics, 2023, 38(1): 97-110.
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