Sizes of Order Statistical Events of Stationary Processes
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order statistics
entropy
stationary processes
de Bruijn sequences
directed graphs
equipartition property
Physical Sciences and Mathematics
entropy
stationary processes
de Bruijn sequences
directed graphs
equipartition property
Physical Sciences and Mathematics
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Abstract
Given a process {X1}, any permutation δ : [1, n] → [1, n] determines an order statistical event A(δ) are needed to form a union whose probability exceeds 1 - ε? This question is answered in the case of stationary ergodic processes with finite entropy.
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1980
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The Annals of Probability
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At the time of publication, author J. Michael Steele was affiliated with Stanford University. Currently, he is a faculty member at the Statistics Department at the University of Pennsylvania.