Some incomplete and boundedly complete families of discrete distributions

Details Some incomplete and boundedly complete families of discrete distributions Some incomplete and boundedly complete families of discrete distributions

2009-09-24

arxiv.org/abs/0909.4371v1

Mathematics

Statistics Theory

7 pages

Scientific paper

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.

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