ADMISSIBILITY AND BAYES ESTIMATION IN SAMPLING FINITE POPULATIONS. II
ADMISSIBILITY AND BAYES ESTIMATION IN SAMPLING FINITE POPULATIONS. II
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有限总体抽样中的可接受性和贝叶斯估计。
DOI：
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发表时间：
1965
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通讯作者：
Author V. M. Joshi
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作者：
Author V. M. Joshi
通过去除无偏性的限制，并相应地修改了容许性的定义，对估计进行了扩展：现在证明了一些其他的估计对所有的抽样设计都是容许的。这一结果似乎对不同概率抽样的基本逻辑有影响。然而，这里不讨论这些问题。2.记法。此处所用的符号与本文第一部分第2节中所用的符号相同，此处不再重述。该节中给出的定义和术语也适用于以下讨论。此外，为了讨论方便，这里我们假设人口U的单位u被编号，即U =（Ui，.，UN），N是U中单元u的总数。结果，样本s（定义2.2，第一部分）现在可以由整数集，即单元u-s的序列号来指定。因此，我们现在把Ur I s写成r - s。此外，关联的变量值X（Ur）
tion is extended by removing the restriction of unbiasedness, with the corresponding modification of the definition of admissibility: Now some other estimate is shown to remain admissible for all sampling designs. The result appears to have implications concerning the basic logic of sampling with varying probabilities. These however are not discussed here. 2. Notation. The notation used here is the same as that formulated in the Section 2 of the Part I of this paper and is not restated here. The definitions and preliminaries, as given in that section, also apply in the following discussion. In addition for convenience of discussion, here we assume that the units u of the population U are numbered, that is U = (Ui, . , UN), N being the total number of units u in U. As a result a sample s (Definition 2.2, Part I) can now be specified by the set of integers namely the serial numbers of the units u - s. Thus for Ur I s now we write r - s. Further, the variate value X(Ur) associated