A fully stochastic approach to limit theorems for iterates of Bernstein operators

DOI10.1016/j.exmath.2017.10.001zbMath1388.60124OpenAlexW2768109337MaRDI QIDQ1639659

Linglong Yuan, Michael A. Zazanis, Takis Konstantopoulos

Publication date: 13 June 2018

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2017.10.001

zbMATH Keywords

Markov chainsdiffusion approximationBernstein operatorstochastic calculusWright-Fisher modelstochastic compositions

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Approximation by polynomials (41A10)

Related Items (1)

Limit theorems for iterates of the Szász-Mirakyan operator in probabilistic view

Cites Work

• Weierstrass and approximation theory
• Iterating Brownian motions, ad libitum
• Iterates of Bernstein polynomials
• Iteration of positive approximation operators
• Over-iterates of Bernstein's Operators: A Short and Elementary Proof
• Error estimate for the diffusion approximation of the Wright--Fisher model.
• Probability Inequalities for Sums of Bounded Random Variables
• Diffusion models in population genetics
• Stochastic Processes
• Stochastic differential equations. An introduction with applications.
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