Fourier analysis of nonstationary stochastic processes
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- by Tatsuo Kawata PDF
- Trans. Amer. Math. Soc. 118 (1965), 276-302 Request permission
References
- Salomon Bochner, Harmonic analysis and the theory of probability, University of California Press, Berkeley-Los Angeles, Calif., 1955. MR 0072370 —, Lectures on Fourier integrals, Annals of Mathematics No. 42, Princeton Univ. Press, Princeton, N.J., 1959. S. Bochner and S. Izumi, Some general convergence theorems, Tôhoku Math. J. 42 (1936), 191-194. H. Cramér, On some classes of non-stationary stochastic processes, Proc. 4th Berkeley, Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 57-78.
- J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
- Hirohisa Hatori, Some expansion theorems for stochastic processes. I, K\B{o}dai Math. Sem. Rep. 15 (1963), 111–120. MR 154322
- T. Kawata, Some convergence theorems for stationary stochastic processes, Ann. Math. Statist. 30 (1959), 1192–1214. MR 109365, DOI 10.1214/aoms/1177706104 M. Loève, Fonctions aléatoires du second ordre, Suppl. to P. Lévy, Processus stochastique et mouvement brownien, Gauthier-Villars, Paris, 1948.
- Michel Loève, Probability theory, 3rd ed., D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1963. MR 0203748
- Emanuel Parzen, An appproach to time series analysis, Ann. Math. Statist. 32 (1961), 951–989. MR 143315, DOI 10.1214/aoms/1177704840
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 118 (1965), 276-302
- MSC: Primary 60.40
- DOI: https://doi.org/10.1090/S0002-9947-1965-0183014-2
- MathSciNet review: 0183014