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  • 1980-1984  (1)
  • Mathematics  (1)
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    ISSN: 1432-1416
    Keywords: Arbitrary offspring distribution ; Non-overlapping generations ; Random population size ; Balanced polymorphism ; Martingale
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract This note extends to an arbitrary offspring distribution the generalized model for random fluctuation of allele frequency, where population size is permitted to fluctuate randomly from generation to generation. Martingale methods analogous to those of Seneta (1974) and Heyde and Seneta (1975) are applied to discuss conditions for Pr(Y(1−Y)〉0)〉0, where Y is the (almost sure) limiting frequency of one allele. An overlapping generation study of the same phenomenon has recently been made by Heyde (1981).
    Type of Medium: Electronic Resource
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