The necessity of the poisson distribution for the equivalence of some random mating models
| Autor: | A.C. Trajstman |
|---|---|
| Rok vydání: | 1973 |
| Předmět: |
Statistics and Probability
education.field_of_study General Immunology and Microbiology Multinomial sampling Applied Mathematics Population General Medicine Biology Poisson distribution General Biochemistry Genetics and Molecular Biology Combinatorics Mixed mating model symbols.namesake Modeling and Simulation Pairing Statistics behavior and behavior mechanisms symbols General Agricultural and Biological Sciences education Equivalence (measure theory) reproductive and urinary physiology |
| Zdroj: | Mathematical Biosciences. 17:1-10 |
| ISSN: | 0025-5564 |
| DOI: | 10.1016/0025-5564(73)90056-4 |
| Popis: | It is shown for a finite, monoecious population that if the two genetically different random mating models, random mating by complete pairing of individuals or random mating subject to monogamy are equivalent to random mating by independent trials, then necessarily in both these models the family size distribution per mating couple is Poisson. Furthermore the mean number of offspring per mating couple is the only unspecified parameter of the family size distribution. In conjunction with the results on random mating by Watterson [ Theor. Popul. Biol. 1 , 233–250 (1970)] this now establishes the Poisson family size distribution as necessary and sufficient for equivalence between random mating by complete pairing or subject to monogamy with the multinomial sampling independent trials model. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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