The Spectral Analysis of Stationary Interval Functions

Abstract

We consider stationary, additive, interval functions X(delta). These are vector valued stochastic processes having real intervals delta = (alpha, ,beta] as domain, having finite dimensional distributions invariant under time translation and satisfying (1.1) X(delta1 U delta2) = X(delta1) + X(delta2), for disjoint intervals delta1, delta2. Such processes are considered in some detail in Bochner [5].

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1972
Accession Number
AD1022157

Entities

People

  • David R. Brillinger

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Asymptotic Normality
  • Covariance
  • Data Science
  • Delta Functions
  • Frequency Domain
  • Information Science
  • Integral Equations
  • Integrals
  • Intervals
  • Notation
  • Numbers
  • Power Spectra
  • Spectra
  • Stationary
  • Statistics
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Mathematical Modeling and Probability Theory.