On non-singular renewal kernels with an application to a semigroup of transition kernels

S. Niemi and E. Nummelin

Stochastic Processes and their Applications, 1986, vol. 22, issue 2, 177-202

Abstract: We study the non-singularity and limit properties of the renewal kernel R=[summation operator]K*n associated with a positive convolution kernel K(x,dyxdt) defined on a general measurable space (E, ). The principal tool is the use of embedded renewal measures. As an application we consider continuous parameter semigroups (Rt(x,dy);t[greater-or-equal, slanted]0) of transition kernels on (E, ).

Keywords: renewal; kernel; renewal; measures; semigroup; of; transition; kernels (search for similar items in EconPapers)
Date: 1986
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Citations: View citations in EconPapers (3)

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