Iterative solution of the best linear extrapolation problem in multidimensional stationary random sequences
Applications of Mathematics, Tome 13 (1968) no. 3, pp. 226-240
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

An iterative method for linear extrapolation of twodimensional random sequences is derived. Steps of this procedure are based (i) on Jaglom's method, (ii) on Hájek's method. A numerical example is given in the both cases. Finally the iterative method is generalized for the $n$ - dimensional case.
An iterative method for linear extrapolation of twodimensional random sequences is derived. Steps of this procedure are based (i) on Jaglom's method, (ii) on Hájek's method. A numerical example is given in the both cases. Finally the iterative method is generalized for the $n$ - dimensional case.
DOI : 10.21136/AM.1968.103165
Classification : 62-85
Keywords: probability theory
@article{10_21136_AM_1968_103165,
     author = {And\v{e}l, Ji\v{r}{\'\i}},
     title = {Iterative solution of the best linear extrapolation problem in multidimensional stationary random sequences},
     journal = {Applications of Mathematics},
     pages = {226--240},
     year = {1968},
     volume = {13},
     number = {3},
     doi = {10.21136/AM.1968.103165},
     mrnumber = {0239708},
     zbl = {0157.25704},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1968.103165/}
}
TY  - JOUR
AU  - Anděl, Jiří
TI  - Iterative solution of the best linear extrapolation problem in multidimensional stationary random sequences
JO  - Applications of Mathematics
PY  - 1968
SP  - 226
EP  - 240
VL  - 13
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1968.103165/
DO  - 10.21136/AM.1968.103165
LA  - en
ID  - 10_21136_AM_1968_103165
ER  - 
%0 Journal Article
%A Anděl, Jiří
%T Iterative solution of the best linear extrapolation problem in multidimensional stationary random sequences
%J Applications of Mathematics
%D 1968
%P 226-240
%V 13
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1968.103165/
%R 10.21136/AM.1968.103165
%G en
%F 10_21136_AM_1968_103165
Anděl, Jiří. Iterative solution of the best linear extrapolation problem in multidimensional stationary random sequences. Applications of Mathematics, Tome 13 (1968) no. 3, pp. 226-240. doi: 10.21136/AM.1968.103165

[1] J. Hájek: On linear statistical problems in stochastic processes. Czech. Math. J. 12 (87), 1962, 404-444. | MR

[2] A. M. Яглом: Введение в теорию стационарных случайных функций. Усп. мат. наук VII, 5 (51), (1952). | Zbl

[3] A. M. Яглом: Эффективные решения линейных аппроксимационных задач для многомерных стационарных процессов с рациональным спектром. Теор. вероят. 1960, т. 5, вып. 3, 265-292. | MR | Zbl

[4] J. von Neumann: Functional operators. Princeton 1950. | Zbl

[5] M. Práger: Об одном принципе сходимости в пространстве Гильберта. Czech. Math. J. 10 (85), 1960, 271-282.

[6] И. И. Привалов: Введение в теорию функций комплексного переменного. Moskva 1960. | Zbl

[7] Ю. А. Розанов: Стационарные случайные процессы. Москва 1963. | Zbl

[8] H. Salehi: On the alternating projections theorem and bivariate stationary stochastic processes. Michigan state university RM-164 HS-4, August 1966. | MR

Cité par Sources :