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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 244, Pages 218–226
(Mi znsl521)
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This article is cited in 1 scientific paper (total in 1 paper)
On a limit relation between order statistics and records
V. B. Nevzorov St. Petersburg State University, Department of Mathematics and Mechanics
Abstract:
Let a distribution function (d.f.) $F$ belong to the domain of minimal attraction of some d.f. $L$. It is shown that a limit distribution of suitably normalized order statistics $X_{k,n}$ corresponding to d.f. $F$ coincides with the distribution of the record value $X(k)$ corresponding to d.f. $L$.
Received: 11.12.1997
Citation:
V. B. Nevzorov, “On a limit relation between order statistics and records”, Probability and statistics. Part 2, Zap. Nauchn. Sem. POMI, 244, POMI, St. Petersburg, 1997, 218–226; J. Math. Sci. (New York), 99:2 (2000), 1149–1153
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https://www.mathnet.ru/eng/znsl521 https://www.mathnet.ru/eng/znsl/v244/p218
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Abstract page: | 177 | Full-text PDF : | 90 |
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