Open Access
September, 1981 The Calculation of the Limiting Distribution of the Least Squares Estimator of the Parameter in a Random Walk Model
G. B. A. Evans, N. E. Savin
Ann. Statist. 9(5): 1114-1118 (September, 1981). DOI: 10.1214/aos/1176345591

Abstract

The limit distribution of the least squares estimator $\hat{\alpha}$ of the parameter $\alpha$ of the first order stochastic difference equation, in the boundary case $\alpha = 1$, is calculated.

Citation

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G. B. A. Evans. N. E. Savin. "The Calculation of the Limiting Distribution of the Least Squares Estimator of the Parameter in a Random Walk Model." Ann. Statist. 9 (5) 1114 - 1118, September, 1981. https://doi.org/10.1214/aos/1176345591

Information

Published: September, 1981
First available in Project Euclid: 12 April 2007

zbMATH: 0472.62024
MathSciNet: MR628767
Digital Object Identifier: 10.1214/aos/1176345591

Subjects:
Primary: 62E20
Secondary: 60F05 , 62M10

Keywords: boundary parameter estimator , limit distribution , unstable process

Rights: Copyright © 1981 Institute of Mathematical Statistics

Vol.9 • No. 5 • September, 1981
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