Far East Journal of Theoretical Statistics
Volume 21, Issue 1, Pages 25 - 38
(January 2007)
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BISEXUAL BRANCHING PROCESSES WITH IMMIGRATION DEPENDENT ON THE
NUMBER OF COUPLES
Manuel Molina (Spain), Inés Del Puerto (Spain) and Alfonso Ramos (Spain)
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Abstract: In this work, we introduce a discrete-time bisexual branching
process which considers mating, offspring, and immigration dependent on the
number of couples in the population at the previous generation. For such a
process, we establish some relationships among the probability generating
functions involved in the probabilistic model and determine some stochastic
monotony properties. |
Keywords and phrases: Keywords and phrases: branching processes, bisexual processes,
immigration processes, population-size dependent processes. |
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