WebAug 6, 2016 · Testing for high-dimensional white noise using maximum cross-correlations. Jinyuan Chang, Qiwei Yao, Wen Zhou. We propose a new omnibus test for vector white noise using the maximum absolute auto-correlations and cross-correlations of the component series. Based on the newly established approximation by the -norm of a … WebSep 5, 2016 · In this paper, we devise seasonal portmanteau test statistics to test whether the seasonal autocorrelations at multiple lags s of time series are different from zero. Simulation studies are performed to assess the performance of the asymptotic distribution results of the proposed statistics in finite samples. ... The white noise process \(a_{t ...
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WebPortmanteau test. A portmanteau test is a type of statistical hypothesis test in which the null hypothesis is well specified, but the alternative hypothesis is more loosely specified. … Web338-2012 Weighted Portmanteau Test Revisited, continued 2 PORTMANTEAU TEST The first widely used testing method based on the autocorrelation coefficients is the Box-Pierce (1970) statistic, provided by ∑ ̂ In most modern applications, it has been replaced by the Ljung-Box (1978) statistic ̃ ∑ ̂ that includes the standardizing term tsa agency sweden
Formal statistical test for whether a process is a white noise
WebMonte-Carlo signi cance test, Portmanteau test, Parallel computing . 1. Box and Pierce portmanteau test In the univariate time series,Box and Pierce(1970) introduced the portmanteau statistic Q m = n Xm ‘=1 r^2 ‘; (1) where ^r ‘ = P n t=‘+1 ^a t^a t ‘= P n t=1 ^a 2, and ^a 1;:::;^a n are the residuals. This test statistic is WebAug 28, 2024 · It can be shown that if the underlying data set is white noise, the expected value of the Q statistic is zero. For any given time series, one can check if the value of Q … WebDetails: The ARCH Engle's test is constructed based on the fact that if the residuals (defined as e[t]) are heteroscedastic, the squared residuals (e^2[t]) are autocorrelated.The first type of test is to examine whether the squares of residuals are a sequence of white noise, which is called Portmanteau Q test and similar to the Ljung-Box test on the squared residuals. tsa agent and bad credit