Bayesian estimation of parameters of mixed geometric failure models from Type I group censored sample

J.B. Shah; M.N. Patel

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Bayesian estimation of parameters of mixed geometric failure models from Type I group censored sample

机译：I类群删失样本下混合几何破坏模型参数的贝叶斯估计

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摘要

The estimation problem of the parameters of a mixed geometric lifetime model, using Bayesian approach and Type I group censored sample, will be investigated in the case of two subpopulations. The Bayes estimates are derived for squared error, minimum expected, general entropy and linex loss functions under informative and diffuse priors. A practical example given by Nelson (W.B. Nelson, Hazard plotting methods for analysis of the life data with different failure models, J. Qual. Technol. 2 (1970), pp. 126-149) is considered. A simulation study is carried out along with risk.

机译：在两个亚群的情况下，将研究使用贝叶斯方法和I类群删失样本对混合几何寿命模型的参数估计问题。贝叶斯估计是根据信息性先验和扩散先验下的平方误差，最小期望，一般熵和线损损失函数得出的。纳尔逊给出了一个实际的例子（W.B.纳尔逊，《使用不同失效模型分析生命数据的危险绘图方法》，J。Qual。Technol。2（1970），第126-149页）。模拟研究与风险一起进行。

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来源
《Journal of applied statistics》 |2009年第6期|495-506|共12页
作者
J.B. Shah; M.N. Patel;
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作者单位

Department of Statistics, R.J. Tibrewal College, Vastrapur, Ahmedabad, Gujarat, India;

Department of Statistics, School of Sciences, Gujarat University, Ahmedabad, Gujarat, India;

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正文语种 eng
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关键词
bayes estimator; geometric model; loss functions; mixture distribution; risk function; simulation; type I group censoring;

机译：贝叶斯估计器几何模型损失函数;混合物分布风险功能;模拟;第一类团体审查;

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1. Maximum Likelihood Estimation in Compound Geometric Failure Model with Changing Parameters From Type-I Two-Stage Progressively Censored and Group Censored Samples [J] . NANDITA W. PATEL, M. N. PATEL Communications in Statistics. A, Theory and Methods . 2007,第13a16期

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2. On Bayesian estimation from two parameter Bathtub-Shaped lifetime distribution based on progressive first-failure-censored sampling [J] . Nooshin Javadkhani, Parvin Azhdari, Reza Azimi International Journal of Scientific World . 2014,第1期

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3. E-Bayesian estimation and its E-posterior risk of the exponential distribution parameter based on complete and type I censored samples [J] . Han Ming Communications in Statistics . 2020,第7a9期

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4. Bayesian Estimation for parameter of Lomax Model under Progressively Type Ⅱ Censored Samples [C] . Zhonghui Li, Wenyi Huang IEEE international conference on computer science and information technology . 2011

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5. Stress-Strength Inference for Burr Type XII Distribution Based on Progressively First Failure-Censored Samples. [D] . Byrnes, Jessie Marie. 2017

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6. Influence of priors in Bayesian estimation of genetic parameters for multivariate threshold models using Gibbs sampling [O] . Kathrin Friederike Stock, Ottmar Distl, Ina Hoeschele 2007

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7. On Bayesian estimation from two parameter Bathtub-Shaped lifetime distribution based on progressive first-failure-censored sampling [O] . Nooshin Javadkhani, Parvin Azhdari, Reza Azimi 2014

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Bayesian estimation of parameters of mixed geometric failure models from Type I group censored sample

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