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Testing linear hypotheses in autoregressions

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Publication:918612
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DOI10.1214/aos/1176347762zbMath0706.62077OpenAlexW2076142535MaRDI QIDQ918612

Jens-Peter Kreiss

Publication date: 1990

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347762


zbMATH Keywords

local asymptotic normalityscore testsautoregressive processfinite ordertesting linear hypothesesasymptotically optimal statistical testsLAN modelsresidual rank tests


Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic distribution theory in statistics (62E20) Parametric hypothesis testing (62F03)


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A test for randomness against ARMA alternatives. ⋮ Estimation in autoregressivemodels based on autoregressionrank scores ⋮ GENERALIZED SIGNED-RANK ESTIMATORS FOR AUTOREGRESSION PARAMETERS ⋮ Residual empirical processes and their application to GM-testing for the autoregression order ⋮ Rao's score test with nonparametric density estimators ⋮ Optimal tests for autoregressive models based on autoregression rank scores ⋮ Local asymptotic normality for multivariate linear processes ⋮ R-estimation in autoregression with square-integrable score function ⋮ Tests against inequality constraints in semiparametric models



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