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EXACT GENERAL‐LAG SERIAL CORRELATION MOMENTS AND APPROXIMATE LOW‐LAG PARTIAL CORRELATION MOMENTS FOR GAUSSIAN WHITE NOISE

Oliver D. Anderson

Journal of Time Series Analysis, 1993, vol. 14, issue 6, 551-574

Abstract: Abstract. Given series realizations of length n generated by a Gaussian white noise process, we use formulae for the moments about zero of the serial covariances to obtain all the non‐centred and central moments up to order 4 for, first, the serial correlations exactly (all lags) and, then, the low‐lag partial correlations approximately (mainly to O(n‐3)). The results agree with empirical values obtained by simulation for n= 100.

Date: 1993
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https://doi.org/10.1111/j.1467-9892.1993.tb00166.x

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