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Maximum Likelihood Estimates for Multinomial Probabilities via Geometric Programming

通过几何规划求多项概率的极大似然估计

This paper illustrates how the duality theory of geometric programming and the special methods available for solution can be used to obtain maximum likelihood estimates for multinomial probabilities. Three examples are given.

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Maximum likelihood estimates for multinomial probabilities via geometric programming

通过几何规划估计多项分布概率的最大似然值

SUMMARY This paper illustrates how the duality theory of geometric programming and the, special methods available for solution can be used to obtain maximum likelihood estimates for multinomial probabilities. Three examples are given.

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A Class of Sequential Tests for an Exponential Parameter

指数分布参数的一类序贯检验

Weiss [5] and Freeman and Weiss [2] have shown how to construct sampling plans which at least approximately minimize the maximum expected sample size in the case of Bernoulli and Normal populations. In this paper we construct sequential procedures of this type for the testing of an exponential parameter. An invariance property of the stopping region is presented which simplifies the construction of the Bayes regions. Several sampling plans are given and some of their…

AI 解读阅读原文 ↗BibTeX ↓

A Class of Sequential Tests for an Exponential Parameter

指数分布参数的一类序贯检验

Weiss [5] and Freeman and Weiss [2] have shown how to construct sampling plans which at least approximately minimize the maximum expected sample size in the case of Bernoulli and Normal populations. In this paper we construct sequential procedures of this type for the testing of an exponential parameter. An invariance property of the stopping region is presented which simplifies the construction of the Bayes regions. Several sampling plans are given and some of their…

AI 解读阅读原文 ↗BibTeX ↓