On periodic autoregression with unknown mean
Applications of Mathematics, Tome 30 (1985) no. 2, pp. 126-139.
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If the parameters of an autoregressive model are periodic functions we get a periodic autoregression. In the paper the case is investigated when the expectation can also be a periodic function. The innovations have either constant or periodically changing variances.
DOI :
10.21136/AM.1985.104133
Classification :
62F15, 62M10, 90A20
Mots-clés : estimating parameters; testing hypotheses; Periodic autoregressive models; time-varying coefficients; Gaussian white noise; unknown mean; innovation; seasonal series; Gaussian maximum likelihood methods
Mots-clés : estimating parameters; testing hypotheses; Periodic autoregressive models; time-varying coefficients; Gaussian white noise; unknown mean; innovation; seasonal series; Gaussian maximum likelihood methods
@article{10_21136_AM_1985_104133, author = {And\v{e}l, Ji\v{r}{\'\i} and Rubio, Asunci\'on and Insua, Antonio}, title = {On periodic autoregression with unknown mean}, journal = {Applications of Mathematics}, pages = {126--139}, publisher = {mathdoc}, volume = {30}, number = {2}, year = {1985}, doi = {10.21136/AM.1985.104133}, mrnumber = {0778983}, zbl = {0585.62152}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104133/} }
TY - JOUR AU - Anděl, Jiří AU - Rubio, Asunción AU - Insua, Antonio TI - On periodic autoregression with unknown mean JO - Applications of Mathematics PY - 1985 SP - 126 EP - 139 VL - 30 IS - 2 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104133/ DO - 10.21136/AM.1985.104133 LA - en ID - 10_21136_AM_1985_104133 ER -
%0 Journal Article %A Anděl, Jiří %A Rubio, Asunción %A Insua, Antonio %T On periodic autoregression with unknown mean %J Applications of Mathematics %D 1985 %P 126-139 %V 30 %N 2 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104133/ %R 10.21136/AM.1985.104133 %G en %F 10_21136_AM_1985_104133
Anděl, Jiří; Rubio, Asunción; Insua, Antonio. On periodic autoregression with unknown mean. Applications of Mathematics, Tome 30 (1985) no. 2, pp. 126-139. doi : 10.21136/AM.1985.104133. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104133/
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