On Toeplitz forms and stationary processes

Arkiv för Matematik - Tập 1 Số 6 - Trang 555-571 - 1952
Ulf Grenander

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Tài liệu tham khảo

Cramér, H.: Mathematical methods of statistics, Princeton Univ. Press, Princeton 1946.

Grenander, U.: Stochastic processes and statistical inference, Arkiv för Matematik, 1950.

Grenander, U.: On empirical spectral analysis of stochastic processes. Arkiv för Matematik, 1951.

Hanner, O.: Deterministic and non-deterministic stationary stochastic processes, Arkiv för Matematik, 1949.

Hardy, G. H., Littlewood, J. E., Pólya, G.: Inequalities, Cambridge 1934.

Kac, M., andSiegert, A. J. F.: An explicit rerepresentation of a stationary Gaussian process, Ann. of Math. Stat., 1947.

Karhunen, K.: Über lineare Methoden in der Wahrscheinlichkeitsrechnung, Ann. Ac. Sci. Fennicae, 1947.

Kolmogoroff, A. H.: Stationary sequences in Hilbert space (Russian), Bull. of the Univ. of Moscow, 1941.

Szegö, G.: Beiträge zur Theorie der Toeplitzschen Formen, Math. Zeitschrift, 1920.

Szegö, G.: Beiträge zur Theorie der Toeplitzschen Formen, (Fortsetzung), Math. Zeitschrift, 1921.

Szegö, G.: Orthogonal polynomials, American Math. Soc. Colloquium publications, Vol. XXIII, 1939.

Whittle, P.: Hypothesis testing in time series analysis, Uppsala 1951.

Wiener, N.: Extrapolation, interpolation and smoothing of stationary time series, New York 1949.

Wintner, A.: Spektraltheorie der unendlichen Matrizen, Leipzig 1929.

Wold, H.: A study in the analysis of stationary time series, Uppsala 1938.