On reduction of two-parameter prediction problems
Studia Mathematica, Tome 114 (1995) no. 2, pp. 147-158
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We present a general method for the extension of results about linear prediction for q-variate weakly stationary processes on a separable locally compact abelian group $G_2$ (whose dual is a Polish space) with known values of the processes on a separable subset $S_2 ⊆ G_2$ to results for weakly stationary processes on $G_1 × G_2$ with observed values on $G_1 × S_2$. In particular, the method is applied to obtain new proofs of some well-known results of Ze Pei Jiang.
@article{10_4064_sm_114_2_147_158,
author = {J. Friedrich},
title = {On reduction of two-parameter prediction problems},
journal = {Studia Mathematica},
pages = {147--158},
publisher = {mathdoc},
volume = {114},
number = {2},
year = {1995},
doi = {10.4064/sm-114-2-147-158},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-147-158/}
}
TY - JOUR AU - J. Friedrich TI - On reduction of two-parameter prediction problems JO - Studia Mathematica PY - 1995 SP - 147 EP - 158 VL - 114 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-114-2-147-158/ DO - 10.4064/sm-114-2-147-158 LA - en ID - 10_4064_sm_114_2_147_158 ER -
J. Friedrich. On reduction of two-parameter prediction problems. Studia Mathematica, Tome 114 (1995) no. 2, pp. 147-158. doi: 10.4064/sm-114-2-147-158
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