On Extremes of Stationary Processes.

Abstract

Certain aspects of extremal theory for stationary sequences and continuous parameter stationary processes, are discussed in this paper. A slightly modified form of a previously used dependence condition, leads to simple proofs of some key results in extremal theory of stationary sequences. Dependence conditions of a 'weak mixing' type are introduced for continuous parameter stationary processes and results of classical extreme value theory extended to that context. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA061060

Entities

People

  • M. Ross Leadbetter

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Covariance
  • Data Science
  • Information Science
  • Intervals
  • Military Research
  • North Carolina
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Sequences
  • Standards
  • Stationary
  • Stationary Processes
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.