Abstract
We establish strong and weak laws for Bahadur-Kiefer-type processes of the form $e_n + i_n$, where $i_n$ denotes the inverse of $e_n$. In particular, we provide a proof for the strong version of Theorem 1A of Kiefer (1970), together with similar results for renewal and partial sum processes.
Citation
Paul Deheuvels. David M. Mason. "Bahadur-Kiefer-Type Processes." Ann. Probab. 18 (2) 669 - 697, April, 1990. https://doi.org/10.1214/aop/1176990852
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