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- W2065547107 abstract "For a stationary autoregressive model of order s, the partial autocorrelation coefficients of order j, j=0,1,2,...,s-1, are defined; the partial autocorrelation coefficient of order zero being the same as the autocorrelation coefficient of order one. Denoting these s parameters by @r1,@p1,...,@ps-1, it is shown that their sample images, namely r1,P1,...,Ps-1, are asymptotically independently normally distributed with means equal to the corresponding population values and asymptotic variances given by var(r1)=(1 - @r21)(1 - @p21...(1 - @p2s -1)n,var(Pj)=(1 - @p2j(1 - @p2j+1)...(1 - @p2s -1)n, j=1,2,...,s-1, where n is the size of the sample from the autoregressive process of order s. The partial correlogram of the model and application of the result are discussed." @default.
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- W2065547107 date "1979-10-01" @default.
- W2065547107 modified "2023-09-23" @default.
- W2065547107 title "On the asymptotic normality and independence of the sample partial autocorrelations for an autoregressive process" @default.
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- W2065547107 doi "https://doi.org/10.1016/0096-3003(79)90019-5" @default.
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