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Almost sure asymptotic properties of central order statistics from stationary processes
Published 24 Jul 2019 in math.PR | (1907.10369v1)
Abstract: In this paper, we formulate and prove new properties of conditional quantiles given one of the particular sigma-fields. Next, we use them to investigate almost sure asymptotic behavior of central order statistics which arise from strictly stationary processes. Specifically we provide a new version of a strong ergodic theorem for central order statistics.
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