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arXiv 0909.4371math.STstat.TH
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离散分布的不完全族和有界完全族

Some incomplete and boundedly complete families of discrete distributions

Sumitra Purkayastha

摘要:

我们提出了一个一般性的结果,给我们的家庭不完全和有界完全家庭的离散分布。对于这样的家庭,类的无偏估计的零有限方差和参数函数,将有一致的最小方差无偏估计有限方差明确的特点。一般结果使我们能够构造大量的不完全族和有界完全族的离散分布。这种家庭的几个新的例子进行了说明。

英文摘要:

We present a general result giving us families of incomplete and boundedly complete families of discrete distributions. For such families, the classes of unbiased estimators of zero with finite variance and of parametric functions which will have uniformly minimum variance unbiased estimators with finite variance are explicitly characterized. The general result allows us to construct a large number of families of incomplete and boundedly complete families of discrete distributions. Several new examples of such families are described.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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