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Abstract
We consider the weak convergence of iterates of so-called centred quadratic stochastic operators. These iterations allow us to study the discrete time evolution of probability distributions of vector-valued traits in populations of inbreeding or hermaphroditic species, whenever the offspring’s trait is equal to an additively perturbed arithmetic mean of the parents’ traits. It is shown that for the existence of a weak limit, it is sufficient that the distributions of the trait and the perturbation have a finite variance or have tails controlled by a suitable power function. In particular, probability distributions from the domain of attraction of stable distributions have found an application, although in general the limit is not stable.
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Authors (3)
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Krzysztof Bartoszek
- Uppsala University, Sweden Department of Mathematics
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Joachim Domsta dr hab. inż.
- Państwowa Wyższa Szkoła Zawodowa w Elblągu Instytut Informatyki Stosowanej im.Krzysztofa Brzeskiego
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s40840-017-0575-8
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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Bulletin of the Malaysian Mathematical Sciences Society
no. 42,
pages 1813 - 1830,
ISSN: 0126-6705 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Bartoszek K., Domsta J., Pułka M.: Weak Stability of Centred Quadratic Stochastic Operators// Bulletin of the Malaysian Mathematical Sciences Society. -Vol. 42, (2019), s.1813-1830
- DOI:
- Digital Object Identifier (open in new tab) 10.1007/s40840-017-0575-8
- Verified by:
- Gdańsk University of Technology
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