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Bayesian Inference for the Parameters of Two-Parameter Exponential Lifetime Models Based on Type-Ⅰ and Type-Ⅱ Censoring

机译：基于Ⅰ型和Ⅱ型删失的两参数指数寿命模型参数的贝叶斯推断

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The parameters of the two-parameter exponential distribution are estimated in this chapter from the Bayesian viewpoint based on complete, Type-Ⅰ and Type-Ⅱ censored samples. Bayes point estimates and credible intervals of the unknown parameters are proposed under the assumption of suitable priors on the unknown parameters and under the assumption of the squared error loss function. Illustrative example is provided to motivate the proposed Bayes point estimates and the credible intervals. Various Monte Carlo simulations are also performed to compare the performances of the classical and Bayes estimates.

机译：本章从贝叶斯的角度，基于完整的，Ⅰ型和Ⅱ型删失样本，估计了两参数指数分布的参数。在未知参数的合适先验条件下和平方误差损失函数的假设下，提出了未知参数的贝叶斯点估计和可信区间。提供了说明性示例以激励提出的贝叶斯点估计和可信区间。还执行了各种蒙特卡洛模拟，以比较经典估计和贝叶斯估计的性能。

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来源
《IAENG transactions on engineering technologies》|2012年|67-79|共13页
会议地点 London(GB)
作者
Husam Awni Bayoud;
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作者单位

Fahad Bin Sultan University, Tabuk 71454, Saudi Arabia;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Bayes estimate; Censored samples; Credible interval; Maximum likelihood estimate; Mean squared error; Squared error loss function;

机译：贝叶斯估计；审查样本；可靠的间隔；最大似然估计；均方误差平方误差损失函数;

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专利

1. Bayesian estimation based on progressive type-Ⅱ censoring from two-parameter bathtub-shaped lifetime model: an Markov chain Monte Carlo approach [J] . Essam A. Ahmed Journal of applied statistics . 2014,第3a4期

机译：基于两参数浴缸形寿命模型的渐进式Ⅱ删失的贝叶斯估计：马尔可夫链蒙特卡罗方法
2. Bayesian inference based on a jointly type-Ⅱ censored sample from two exponential populations [J] . A.R. Shafay, N. Balakrishnan, Y. Abdel-Aty Journal of statistical computation and simulation . 2014,第10a12期

机译：基于来自两个指数种群的联合Ⅱ型删失样本的贝叶斯推断
3. On a Correction of the Scale MLE for a Two-Parameter Exponential Distribution Under Progressive Type-Ⅰ Censoring [J] . ERHARD CRAMER, MIRIAM TAMM Communications in Statistics . 2014,第19a21期

机译：逐步Ⅰ型审查下对两参数指数分布规模MLE的校正
4. Bayesian Inference for the Parameters of Two-Parameter Exponential Lifetime Models Based on Type-Ⅰ and Type-Ⅱ Censoring [C] . Husam Awni Bayoud International conference on advances in engineering technologies and physical science . 2013

机译：基于Ⅰ型和Ⅱ型审查的两参数指数寿命模型参数的贝叶斯推断
5. A Comparison of Bayesian Estimation Techniques in a Multidimensional Two-Parameter Partial Credit Item Response Mode [D] . Liu, Peiyan. 2019

机译：多维两参数部分贷项响应模式下贝叶斯估计技术的比较
6. Bayesian Inference of the Weibull Model Based on Interval-Censored Survival Data [O] . Chris Bambey Guure, Noor Akma Ibrahim, Mohd Bakri Adam 2013

机译：基于区间删失生存数据的威布尔模型的贝叶斯推断
7. Bayesian Inference for Exponential Lifetime Models Based on Type-II Hybrid Censoring [O] . Husam Awni Bayoud 2014

机译：基于II型混合审查的指数终身模型的贝叶斯推断
8. Inferences for the Two-Parameter Exponential Distribution Under Type 1 Censored Sampling. [R] . Wright, F. T., Engelhardt, M., Bain, L. J. 1977

机译：1型截尾采样下双参数指数分布的推论。

Bayesian Inference for the Parameters of Two-Parameter Exponential Lifetime Models Based on Type-Ⅰ and Type-Ⅱ Censoring

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