Let {X,, n 1} be a strictly stationary sequence of random variables. Denote
From Strong-Mixing Processes, Wiesław Dziubdziela
Abstract
From Strong-Mixing Processes, Wiesław Dziubdziela
Abstract
We present necessary and sufficient conditions for the weak convergence of the distributions of the kth order statistics from a strictly stationary strongmixing sequence of random variables to limit laws which are represented in terms of a compound Poisson distribution. The obtained limit laws form a class larger than that occurring in the independent case.
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We present necessary and sufficient conditions for the weak convergence of the distributions of the kth order statistics from a strictly stationary strongmixing sequence of random variables to limit laws which are represented in terms of a compound Poisson distribution. The obtained limit laws form a class larger than that occurring in the independent case.
Key concepts: Mathematics, Stationary sequence, Random variable, Sequence (biology), Limit (mathematics), Convergence of random variables, Poisson distribution, Limit of a function