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• W2167740077 abstract "We extend Goldie's (1991) implicit renewal theorem to enable the analysis of recursions on weighted branching trees. We illustrate the developed method by deriving the power-tail asymptotics of the distributions of the solutions R to and similar recursions, where ( Q , N , C 1 , C 2 ,…) is a nonnegative random vector with N ∈ {0, 1, 2, 3,…} ∪ {∞}, and are independent and identically distributed copies of R , independent of ( Q , N , C 1 , C 2 ,…); here ‘∨’ denotes the maximum operator." @default.
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• W2167740077 date "2012-06-01" @default.
• W2167740077 modified "2023-10-18" @default.
• W2167740077 title "Implicit Renewal Theory and Power Tails on Trees" @default.
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• W2167740077 doi "https://doi.org/10.1017/s0001867800005711" @default.
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