This article proposes a new portmanteau test based on sample partial autocorrelations. The test statistic is asymptotically χ2 under the null hypothesis of randomness. Simulation results indicate that the proposed test, which utilizes Anderson's mean and variance formulae of sample partial...

Sample partial autocorrelations are one of the main statistical tools of time series analysis. They are especially useful in identifying the order of an AR(p) process. In this note, we show via a simulation experiment that normalizing each sample partial autocorrelation with Anderson's (1993a)...