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Weak Stability of C...
Weak Stability of Centred Quadratic Stochastic Operators
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- Bartoszek, Krzysztof, 1984- (författare)
- Linköpings universitet,Uppsala universitet,Analys och sannolikhetsteori,Linkoping Univ, Dept Comp & Informat Sci, S-58183 Linkoping, Sweden,Statistik och maskininlärning,Filosofiska fakulteten,Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Matematisk-datavetenskapliga sektionen, Matematiska institutionen, Analys och sannolikhetsteori
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- Domsta, Joachim (författare)
- State Univ Appl Sci Elblag, Krzysztof Brzeski Inst Appl Informat, Ul Wojska Polskiego 1, PL-82300 Elblag, Poland
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- Pulka, Malgorzata (författare)
- Gdansk Univ Technol, Dept Probabil & Biomath, Ul Narutowicza 11-12, PL-80233 Gdansk, Poland
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(creator_code:org_t)
- 2017-11-22
- 2019
- Engelska.
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Ingår i: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. - : MALAYSIAN MATHEMATICAL SCIENCES SOC. - 0126-6705 .- 2180-4206. ; 42:4, s. 1813-1830
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Asymptotic stability
- Dyadic stability
- Infinite divisible distributions
- Quadratic stochastic operators
- Weak convergence
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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