Limiting distributions for critical multitype branching processes with discrete time

by T. W. Mullikin

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A contribution to the basic theory of branching processes, which deals with the multiplication of objects subject to the laws of chance. The theory has been applied in the past to cosmic ray showers, nuclear reactions, and the multiplication of cells. This memorandum describes the probability law governing the descendants of a single object after many generations, if on the average an object has just one surviving child. These results could be useful in the study of controlled nuclear reactions or in the mathematical treatment of such biological phenomena as bacterial fission

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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