THE ESTIMATION OF THE PROBABILITY OF EXTINCTION AND OTHER PARAMETERS ASSOCIATED WITH BRANCHING PROCESSES.
WISCONSIN UNIV MADISON DEPT OF STATISTICS
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Let X sub 1, X sub 2, ..., X sub n be independent, identically distributed random variables taking only nonnegative integer values. Let P sub k PrX sub i k, and denote by fs Summation from k 0 to k infinity of p sub ks sup k the probability generating function of the distribution p sub k. In this paper the author considers the problem of estimating various functionals of fs which occur in the study of branching processes, and are of interest in various inference problems concerning these processes. Author
- Statistics and Probability