论文标题

广泛而一般的顺序抽样方案

A Broad and General Sequential Sampling Scheme

论文作者

Hu, Jun, Zhuang, Yan

论文摘要

在本文中,我们提出了一种广泛而通用的顺序采样方案,该方案结合了四种不同类型的采样程序:i)经典的Anscombe-Chow-Robbins纯粹是顺序采样程序; ii)普通的加速顺序采样程序; iii)相对较新的k-at a-at-pipe纯粹顺序采样程序; iv)新的K-AT-AT-AT-AT-AT-AT-AT-AT-AT-AT-AT-AT-AT-AT-AT-ACTAPES顺序采样程序。该一般顺序抽样方案的一阶和二阶特性分别对正态分布的平均值和有界方差点估计分别进行了负指数分布的位置参数的最小风险点估计的两个插图。我们还为每个图表提供了广泛的计算模拟研究和实际数据分析。

In this paper, we propose a broad and general sequential sampling scheme, which incorporates four different types of sampling procedures: i) the classic Anscombe-Chow-Robbins purely sequential sampling procedure; ii) the ordinary accelerated sequential sampling procedure; iii) the relatively new k-at-a-time purely sequential sampling procedure; iv) the new k-at-a-time improved accelerated sequential sampling procedure. The first-order and second-order properties of this general sequential sampling scheme are fully investigated with two illustrations on minimum risk point estimation for the mean of a normal distribution and on bounded variance point estimation for the location parameter of a negative exponential distribution, respectively. We also provide extensive computational simulation studies and real data analyses for each illustration.

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