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Renewal equations and moments of branching processes

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Abstract

Some theorems, which strengthen the asymptotic properties of the solutions of renewal equations, are proved. These results are applied in a study of the first two moments of age-dependent branching processes.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 3, No. 1, pp. 3–14, January, 1968.

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Sevast'yanov, B.A. Renewal equations and moments of branching processes. Mathematical Notes of the Academy of Sciences of the USSR 3, 3–10 (1968). https://doi.org/10.1007/BF01386956

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  • DOI: https://doi.org/10.1007/BF01386956

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