A Monte Carlo Study of AR (1) Estimators under Several Performance Criteria.

Abstract

The small sample performance of several AR(1) estimators is investigated through the use of Monte Carlo comparison studies. The performance of these estimators is compared with respect to the criteria of bias, mean squared error, mean absolute error, and mean squared prediction error. Statistical performance groupings at various fixed parameter values from (0,1) are determined based on pairwise multiple comparisons of estimator performance results. Two types of two-step adaptive estimators are developed. One type relies on the use of only standard estimators, while the other type includes ad hoc modifications to standard estimators. The efficacy of performance of these estimators is validated through the use of additional Monte Carlo runs based on three different conditions of parameter selection for data generation. The sensitivity of these estimators to their use with larger sample sizes is also investigated. Based on the various simulation results, recommendations regarding estimator selection for use in applied estimation are given. The applicability of the adaptive estimators is discussed and an example illustrating their application in forecasting an economic series is given. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA097533

Entities

People

  • H. S. Hill
  • R. F. Ling

Organizations

  • Clemson University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Series
  • Business Administration
  • Chemical Industry
  • Computations
  • Consumers
  • Data Science
  • Delphi Method
  • Demographic Cohorts
  • Estimators
  • Identification
  • Monte Carlo Method
  • Price Index
  • Random Variables
  • Random Walk
  • Sampling
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.