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Renewal theorem for a system of renewal equations

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Publication:1406578
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DOI10.1016/S0246-0203(03)00018-9zbMath1021.60069MaRDI QIDQ1406578

Benoîte De Saporta

Publication date: 4 September 2003

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2003__39_5_823_0


zbMATH Keywords

potential theoryrenewal theoryPerron Frobenius root


Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15)


Related Items (8)

The matrix renewal equation on the whole line with submultiplicative inhomogeneous term ⋮ The spread of a catalytic branching random walk ⋮ One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics ⋮ Tail of a linear diffusion with Markov switching ⋮ Tail of the stationary solution of the stochastic equation \(Y_{n+1}=a_{n} Y_{n}+b_{n}\) with Markovian coefficients ⋮ Tail of the stationary solution of the stochastic equation \(Y_{n+1}=a_{n} Y_{n}+b_{n}\) with Markovian coefficients ⋮ Quasistochastic matrices and Markov renewal theory ⋮ Tail of a linear diffusion with Markov switching







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