Chi-Square Goodness-of-Fit Tests for Strong-Mixing Stationary Processes.

Abstract

An attempt has been made in this report to investigate whether appropriate tests can be formulated to test the adequacy of various models about the univariate distribution of a strictly stationary process. Specifically, it is assumed that the strictly stationary process is strong-mixing, that the data derived from such a process is grouped and that the standard chi-squared tests based on the deviations of the observed from the expected frequencies for these groups are used. Asymptotic sampling properties of these tests for various types of simple and composite hypotheses about this univariate distribution have then been derived.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA008738

Entities

People

  • K. C. Chanda

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Composite Materials
  • Data Science
  • Frequency
  • Goodness Of Fit Tests
  • Hypotheses
  • Information Science
  • Sampling
  • Standards
  • Stationary
  • Stationary Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.