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The strong renewal theorem with infinite mean via local large deviations
Published 24 Jul 2015 in math.PR | (1507.06790v3)
Abstract: A necessary and sufficient condition is established for an asymptotically stable renewal process to satisfy the strong renewal theorem. This result is valid for all alpha in (0, 1), thus completing a result for alpha in (1/2, 1) which was proved in the 1963 paper of Garsia and Lamperti [6]. This paper is superseded by arXiv:1612.07635.
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