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An Asymptotically Pivotal Transform of the Residuals Sample Autocorrelations With Application to Model Checking
Journal of the American Statistical Association
We propose an asymptotically distribution-free transform of the sample autocorrelations of residuals in general parametric time series models, possibly nonlinear in variables. The residuals autocorrelation function is the basic model checking tool in time series analysis, but it is not useful when its distribution is incorrectly approximated because the effects of parameter estimation and/or higher-order serial dependence have not been taken into account. The limiting distribution of thedoi:10.1198/jasa.2011.tm10226 fatcat:sp4hwsrnwbez5azpv4nx6qu4ra