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Block records and maxima of the increments of the Wiener process

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Publication:1973291
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DOI10.1016/S0378-3758(99)00076-2zbMath0986.60032MaRDI QIDQ1973291

George Haiman

Publication date: 23 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)


zbMATH Keywords

increments of Wiener processblock recordl-dependent sequences


Mathematics Subject Classification ID

Stationary stochastic processes (60G10)


Related Items (1)

Truncated Sequential Change‐point Detection based on Renewal Counting Processes



Cites Work

  • Coincidence probabilities
  • Étude des extrêmes d'une suite stationnaire m-dépendante avec une application relative aux accroissements du processus de Wiener. (Study of the extremes of a stationary m-dependent sequence with an application to the increments of Wiener processes)
  • Records and 2-block records of 1-dependent stationary sequences under local dependence
  • First passage time for some stationary processes
  • On extreme value asymptotics for increments of renewal processes
  • A strong invariance principle concerning the \(J\)-upper order statistics for stationary Gaussian sequences
  • The Use of MOSUMS for Quality Control
  • First Passage Time for a Particular Gaussian Process


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