Approximation of the number of descendants in branching processes

Autor:	Anton Kutsenko
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis Probability (math.PR) FOS: Mathematics Statistical and Nonlinear Physics Computer Science::Data Structures and Algorithms Mathematical Physics Mathematics - Probability Functional Analysis (math.FA)
Popis:	We discuss approximations of the relative limit densities of descendants in Galton--Watson processes that follow from the Karlin--McGregor near-constancy phenomena. These approximations are based on the fast exponentially decaying Fourier coefficients of Karlin--McGregor functions and the binomial coefficients. The approximations are sufficiently simple and show good agreement between approximate and exact values, which is demonstrated by several numerical examples. I found how to improve the $\Gamma$-approximation. The good binomial approximations remain unchanged
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25289d0c3a89b77623132c0785604847 http://arxiv.org/abs/2206.13647 Zobrazit plný text záznamu