Parameter estimation in a stationary autoregressive process with correlated multiple observations

S. Sethuraman; I. V. Basawa

doi:10.1016/0378-3758(94)90203-8

Parameter estimation in a stationary autoregressive process with correlated multiple observations

S. Sethuraman, I. V. Basawa

Research output: Contribution to journal › Article

5 Scopus citations

Abstract

An autoregressive process is proposed to model time series data with multiple observations at each time point. The joint autocorrelation function for the model has a product form, the first factor being the autocorrelation function for a stationary AR(p) process and the second factor involving a constant intraclass correlation ρ. The least-squares and the Gaussian maximum likelihood estimators of the autoregression parameters θ=(θ₁,...,θ_p)^T and the intraclass correlation ρ are presented and their limit distributions are derived.

Original language	English (US)
Pages (from-to)	137-154
Number of pages	18
Journal	Journal of Statistical Planning and Inference
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/0378-3758(94)90203-8
State	Published - Apr 15 1994
Externally published	Yes

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Keywords

Intraclass correlation
Panel time series
asymptotic distributions
least-squares estimation
maximum likelihood estimation

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

Cite this

Sethuraman, S., & Basawa, I. V. (1994). Parameter estimation in a stationary autoregressive process with correlated multiple observations. Journal of Statistical Planning and Inference, 39(2), 137-154. https://doi.org/10.1016/0378-3758(94)90203-8

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AB - An autoregressive process is proposed to model time series data with multiple observations at each time point. The joint autocorrelation function for the model has a product form, the first factor being the autocorrelation function for a stationary AR(p) process and the second factor involving a constant intraclass correlation ρ. The least-squares and the Gaussian maximum likelihood estimators of the autoregression parameters θ=(θ1,...,θp)T and the intraclass correlation ρ are presented and their limit distributions are derived.

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KW - asymptotic distributions

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10.1016/0378-3758(94)90203-8