Abstract
Let $S_n, n = 1,2,\cdots$, denote the partial sums of a stationary $m$-dependent sequence of random variables with positive expectation. The first passage times $\min\{n: S_n > t\}$ are investigated. Several results are extended from the case of independent variables.
Citation
Svante Janson. "Renewal Theory for $M$-Dependent Variables." Ann. Probab. 11 (3) 558 - 568, August, 1983. https://doi.org/10.1214/aop/1176993500
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