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Asymptotic expansions in multivariate renewal theory

Robert Keener

Stochastic Processes and their Applications, 1990, vol. 34, issue 1, 137-153

Abstract: Let P be a probability measure , and R = [summation operator][infinity]n=0 P*n. the associated renewal measure. A two term asymptotic expansion for R is derived under moment and smoothness conditions. The smoothness conditions imposed allow P to be arithmetic is some coordinates and absolutely continuous in the other coordinates.

Keywords: random; walks; smoothing; Fourier; analysis (search for similar items in EconPapers)
Date: 1990
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