Random Shifts of Stationary Processes

Abstract

A variety of results concerning strongly stationary processes with smooth trajectories turns out to be derivable from a theorem, which extends the formula for changing the variable in the differential on the real axis to the case of measure spaces with a one-parameter group of measure preserving transformations. The paper starts with the statement of three results, which will be shown in the end to be special cases of the main theorem. The middle part consists of the formulation and proof of this main theorem.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1967
Accession Number
AD1026404

Entities

People

  • Hermann Dinges

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Continuity
  • Convergence
  • Decomposition
  • Discontinuities
  • Indicators
  • Intervals
  • Monotone Functions
  • Notation
  • Probability
  • Scientific Research
  • Stationary
  • Stationary Processes
  • Theorems
  • Topology

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Theoretical Analysis.

Technology Areas

  • Space