Preference of prior for the class of life-time distributions under different loss functions
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نویسنده
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kazmi s.m.a. ,aslam m. ,ali s.
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منبع
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pakistan journal of statistics - 2012 - دوره : 28 - شماره : 4 - صفحه:467 -484
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چکیده
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In this paper,the class of life-time distributions is considered for bayesian analysis. the properties of bayes estimators of the parameter are studied under different loss functions via simulated and real life data. for the particular case of the maxwell distribution,a comprehensive simulation scheme is conducted using non-informative and informative priors. the loss functions are compared through posterior risk. attractive closed form expressions are derived for the complete sample. some other interesting comparison like credible interval (ci) and highest posterior density (hpd) intervals are made and properties of the estimates are observed and presented in a very smooth way. © 2012 pakistan journal of statistics.
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کلیدواژه
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Bayesian estimation; Credible interval (CI); Elicitation of hyperparameters; Entropy loss function; Highest Posterior Density (HPD); Informative prior; Modified LINEX Loss Function; Non-informative prior; Posterior risk; Square logarithmic loss function; Squared error loss function
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آدرس
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sustainable development policy institute, Pakistan, department of statistics,quaid-i-azam university, Pakistan, department of decision sciences, Italy
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