The strong renewal theorem with infinite mean via local large deviations

Autor: Doney, R. A.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: 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 This paper is superseded by arXiv:1612.07635.
Comment: 19 pages
Databáze: arXiv