A Probability Model of a Family Using Branching Process in Relation to Poisson, Logarithmic and Negative Binomial Distribution
Keywords:
branching process, Poisson process, family, probability generating functionAbstract
The focus of this work is on the application of a family branching process in Relation to Poisson, Logarithmic and Negative Binomial Distribution. The data used was obtained by personal interview and analyzed using probability generating function in order to obtain the fitted probability model of the family. The model obtained is found to be the probability generating function of negative binomial distribution. This probability model reveals that the number of descendants in every generation increases with the increase of the number of generation. This method employed in this work is suitable for the model of other systems with similar dynamics.
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