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Bounds on expectations of small order statistics from decreasing density populations

✍ Scribed by Tomasz Rychlik

Publisher: Springer
Year: 2008
Tongue: English
Weight: 168 KB
Volume: 70
Category: Article
ISSN: 0026-1335
DOI: 10.1007/s00184-008-0200-9

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Let X1; X2; : : : ; Xn be n random variables with an arbitrary n-variate distribution. We say that the X 's are maximally (resp. minimally) stable of order j (j ∈ {1; 2; : : : ; n}), if the distribution F (j) of max{X k 1 ; : : : ; X k j } (resp. G (j) of min{X k 1 ; : : : ; X k j }) is the same, fo