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Limit Laws for Maxima and Second Maxima from Strong-Mixing Processes

Limit Laws for Maxima and Second Maxima from Strong-Mixing Processes

In 1972, R. E. Welsch obtained a class of two-dimensional laws which includes the class of all possible limit laws for a sequence of normalized pairs $(M_n, S_n)$, where $M_n$ and $S_n$ are the maximum and the second maximum of the first $n$ terms from a stationary strong-mixing sequence of …