A note on incomplete and boundedly complete families of discrete distributions

Purkayastha Sumitra

Statistics & Risk Modeling, 2009, vol. 27, issue 4, 227-234

Abstract: 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.

Keywords: boundedly complete family of distributions; complete family of distributions; discrete distributions; power series distributions (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1524/stnd.2009.1046

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