Properties of Batch Means from Stationary ARMA (1, 1) Time Series.

Abstract

For stationary first order autoregressive and autoregressive moving average processes with normally distributed errors, the corresponding stationary process of batch means is shown to be an autoregressive moving average process. The batch means process resulting from a moving average process, however, is shown to be a moving average process. The parameters of the batch means process are closed form functions of the batch size and parameters of the original process.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1981
Accession Number
ADA104245

Entities

People

  • Bruce Schmeiser
  • Keebom Kang

Organizations

  • Purdue University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Probability
  • Stationary
  • Stationary Processes
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Statistical inference.