Abstract
The logarithmic series distribution (LSD) has found applications in a number of diverse fields. The distribution for the sum of n independent and identically distributed random variables having the LSD with parameter 0 has been obtained by Patil [3] which he calls the first type Stirling distribution (FTSD) with parameters ni and 0. In this note we derive the distribution for their sum when the random variables have the LSD with different parameters and obtain the FTSD as a special case. Let X1, X2, , Xn be n independent random variables having the LSD with probability function
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