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平均寿命贝叶斯估计量的预后验分析AI 解读

In considering life test experiments from a behaviouristic Bayes point of view, one may speculate on the effect of model misspecification on the posterior mean under alternative stopping rulers. Of coures, under the life distribution model, we expect the mean of the posterior to equal the mean of the prior. However, if we think the model may have been misspecified, we would no longer expect this equality. It is shown that for Bayes estimators of mean life under the…

平均寿命贝叶斯估计量的预后验分析AI 解读

Abstract : In considering life test experiments from a behavioristic Bayes point of view, we may speculate on the effect of model misspecification on the posterior mean under alternative stopping rules. Of course, under the life distribution model, we expect the mean of the posterior to equal the mean of the prior. However, if we think the model may have been misspecified, we would no longer expect this equality. We show that for Bayes estimators of mean life under the…

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单调风险率分布的界限表AI 解读

This paper presents in a form convenient for applications a number of bounds for distributions with monotone hazard rate. These bounds, together with their proofs and various generalizations have been obtained by Barlow and Marshall (1964). However, many of them can be characterized only through solutions of transcendental equations, and machine calculation has been necessary to make them accessible. Section 2 gives a listing of the results, and those without explicit forms…