Tests for Joint Normality in Time Series.

Abstract

The well-known methods for analysis of time series, whether in the time domain or in the frequency domain -- for fitting parametric structures, for regression, for forecasting -- all involve second-moment statistics. If all variables are jointly normally distributed in stationary sequences, simple first and second moments contain all the information. If not, there is the possibility that some of the needed information is not contained in the statistics used. When a random sequence is other than stationary and jointly normal, it may sometimes equally well be described and thought of as stationary but not jointly normal (which is the terminology used here) or as nonstationary.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA085885

Entities

People

  • Francis J. Anscombe
  • Ho-len H. Chang

Organizations

  • Yale University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Computer Programs
  • Data Science
  • Frequency
  • Frequency Domain
  • Information Science
  • Normality
  • Probability
  • Random Variables
  • Residuals
  • Sequences
  • Skewness
  • Spectra
  • Standards
  • Stationary
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.