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Abstract We go beyond the global maximum and discuss the statistics of the second, third etc. maxima. This is known as order statistics. We also discuss the statistics of the gaps between two ordered maxima for the two models (IID and random walk). Furthermore, we discuss the universality of the order and gap statistics.
Iickho Song +3 more
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Iickho Song +3 more
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Order Statistics and Nonparametric Statistics.
1978Abstract : The research reported falls under the headings: (a) order statistics; (b) competing risks; (c) nonparametric statistics, and (d) cyclic designs. (a) Concomitants of order statistics were introduced and studied as a class, and applications in selection and double sampling provided. The robustness of various estimators of location and scale in
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Order statistics in overlapping samples, moving order statistics and U-statistics
Biometrika, 1983David, H. A., Rogers, M. P.
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Statistics & Probability Letters, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Statistical Review / Revue Internationale de Statistique, 1973
A. E. Sarhan, H. A. David
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A. E. Sarhan, H. A. David
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