Strong Approximations of Records and Record Times

作者: Paul Deheuvels

DOI: 10.1007/978-94-017-3069-3_36

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摘要: This note reviews some recent results obtained for the strong approximation of records and record times with emphasis on case k-th records.

参考文章(9)
W. Dziubdziela, B. Kopociński, Limiting properties of the k-th record values Applicationes Mathematicae. ,vol. 15, pp. 187- 190 ,(1976) , 10.4064/AM-15-2-187-190
Mahabanoo N. Tata, On outstanding values in a sequence of random variables Probability Theory and Related Fields. ,vol. 12, pp. 9- 20 ,(1969) , 10.1007/BF00538520
Paul Deheuvels, The strong approximation of extremal processes (II) Probability Theory and Related Fields. ,vol. 62, pp. 7- 15 ,(1981) , 10.1007/BF00532159
Sidney I. Resnick, Limit laws for record values Stochastic Processes and their Applications. ,vol. 1, pp. 67- 82 ,(1973) , 10.1016/0304-4149(73)90033-1
Sidney I. Resnick, INVERSES OF EXTREMAL PROCESSES Advances in Applied Probability. ,vol. 6, pp. 392- 406 ,(1974) , 10.1017/S0001867800045432
K. N. Chandler, THE DISTRIBUTION AND FREQUENCY OF RECORD VALUES Journal of the royal statistical society series b-methodological. ,vol. 14, pp. 220- 228 ,(1952) , 10.1111/J.2517-6161.1952.TB00115.X
Paul Deheuvels, The strong approximation of extremal processes Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete. ,vol. 58, pp. 1- 6 ,(1981) , 10.1007/BF00536191