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Distribution of the sum of independent generalized logarithmic series variables
Authors:Ramesh C. Gupta
Affiliation:University of Maine , Orono
Abstract:Jain and Gupta (1973) have given a generalized logarithmic series distribution which, for β = 1, reduces to the logarithmic series distribution. In this note we obtain the distribution of the sum of independent generalized logarithmic series variables. This distribution conforms, in a special case, to the First-type Stirling distribution (Patil and Wani, 1965) and would be useful in estimation theory.
Keywords:convolution  discrete variables  LaGrange formula
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