On a joint strong approximation theorem for record and inter-record times
We present a simple joint strong approximation for the logarithms of record and inter-record times from an exchangeable sequence, including an exact estimation of the rate of convergence in terms of upper and lower class functions of a Wiener process. The approach chosen allows for simple proofs of exact and asymptotic (joint) results for record and inter-record times, such as the law of large numbers (LLN), central limit theorem (CLT) and law of the iterated logarithm (LIL), and others.
upper and lower class functions of a Wiener process
scientific article; zbMATH DE number 3960662
scientific article