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A Unified Derivation of the Asymptotic Distributions of Goodness-Of-Fit Statistics for Autoregressive Time-Series Models

J. R. M. Hosking

Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1978 · Volume 40 · Issue 3

DOI: 10.1111/j.2517-6161.1978.tb01047.x

Abstract

The portmanteau and Quenouille goodness-of-fit tests for anar(p) model are derived as likelihood-ratio tests against particular alternative hypotheses, and their asymptotic distributions are thereby obtained.

Keywords

autoregressive process, goodness-of-fit tests, portmanteau statistic, quenouille's statistic, time-series model

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