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二项分布中试验次数n的估计及其可容许性
Estimation of the Number of Trials n in the Binomial Distribution and Its Admissibility
【摘要】 本文考虑了二项分布B(n,p)(p已知,n≥1未知)的试验次数n的估计问题,提出了n的一类形式简单的估计并讨论了它们的可容许性.还在有界情形下讨论了类似问题.
【Abstract】 In this paper, we consider the problem of estimation of the binomial parameter n. We give a class of estimators of n and discuss their admissibility. Because the number of trials is finite in practice, it is also important to provide good estimators of n in this case. Therefore, we finally give some admissible estimators of n when n is finite.
【关键词】 二项分布;
可容许性;
损失函数;
估计;
【Key words】 binomial distribution; admissibility; loss function; estimation;
【Key words】 binomial distribution; admissibility; loss function; estimation;
- 【文献出处】 吉林大学自然科学学报 ,Journal of Jilin University , 编辑部邮箱 ,1993年04期
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