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凸到达率的最大似然估计AI 解读

It is commonly believed that failures of a repairable system follow a time dependent Poisson process with ‘bathtub-shaped’ arrival rate. A natural problem then is maximum likelihood estimation of arrival rate subject to the constraint that it be convex. This paper employs theoretical considerations to reduce that task to a finite dimensional nonlinear programming problem and completes the solution by computer. The resulting estimates are interesting graphical presentations…

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多元生存分析中的依赖与老化性质AI 解读

The basic reliability concept of monotone failure rate is presented, and extensions to n variables are considered. We analyze Harris' multivariate extension of increasing failure rate, in particular his right corner set increasing property, which is a type of positive dependence. But we think that multivariate monotone failure rate need not involve dependence. Hence, increasing failure rate as extended in this article requires merely that the residual life of all subsets of…

Wishart 矩阵极端特征根的分位点AI 解读

This paper tabulates the distribution of the largest and smallest characteristic roots of a Wishart matrix; the computation is based on an approximation derived from work of Pillai. As an application, we present simultaneous confidence intervals for the variance components of the two-way layout with unequal variance.

Wishart 矩阵极端特征根的分位点AI 解读

SUMMARY This paper tabulates the distribution of the largest and smallest characteristic roots of a Wishart matrix; the computation is based on an approximation derived from work of Pillai. As an application, we present simultaneous confidence intervals for the variance components of the two-way layout with unequal variances.

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