Abstract

For the generalized positive exponential family of distributions, the problems of confidence interval estimation, bounded risk point estimation, and minimum risk point estimation of the rth power of unknown parameter θ are handled. Two-stage and purely sequential methodologies are developed for the estimation purpose. Sequential procedures are developed based on the maximum likelihood estimator (MLE) of the parameter. The exact operating characteristics of these procedures are given.

中文翻译：

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估计分布族参数幂的两阶段顺序过程

摘要

对于广义正指数分布族，处理了未知参数θ的r次方的置信区间估计、有界风险点估计和最小风险点估计问题。为估计目的开发了两阶段和纯顺序方法。顺序程序是基于参数的最大似然估计器 (MLE) 开发的。给出了这些程序的确切操作特性。