Characterizations of mixtures of discrete distributions by a regression point

T. Cacoullos

Statistics & Probability Letters, 1983, vol. 1, issue 5, 269-272

Abstract: Given that the conditional distribution ps(yx) of Y, given X = x is an x-fold convolution of a nonnegative integer-valued r.v. [xi] for every s= P[[xi] = 0] > 0, the distribution of X, hence also of Y, is characterized by the regression point m(0) = E[XY = 0]. An infinite variety of generalized distributions (of Y) can be characterized by arbitrarily varying the distribution of X.

Keywords: Characterizations; discrete; mixtures; generalized; distributions; regression; function (search for similar items in EconPapers)
Date: 1983
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