A Multidimensional Renewal Theorem

Thomas A. Ryan Jr.

doi:10.1214/aop/1176996034

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Home > Journals > Ann. Probab. > Volume 4 > Issue 4 > Article

August, 1976 A Multidimensional Renewal Theorem

Thomas A. Ryan Jr.

Ann. Probab. 4(4): 656-661 (August, 1976). DOI: 10.1214/aop/1176996034

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Abstract

A multidimensional renewal theorem is proven which generalizes the well-known result of Pyke on Markov renewal processes. The result is a "natural" setting of the multidimensional renewal theorem, and has applications to age-dependent branching processes.