Approximation of the number of descendants in branching processes
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Publication:6403323
DOI10.1007/S10955-023-03079-6zbMath1517.60111arXiv2206.13647MaRDI QIDQ6403323
Publication date: 27 June 2022
Abstract: 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.
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