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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF

Book Information

Author: Murray Rosenblatt
Title: Stationary sequences and random fields
Additional book information Birkhäuser, Boston, Basel, Stuttgart, 1985, 258 pp., $34.95. ISBN 3-7643-3264-6.


References [Enhancements On Off] (What's this?)

  • 1. Harald Cramér, On some classes of nonstationary stochastic processes, Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II, Univ. California Press, Berkeley, Calif., 1961, pp. 57–78. MR 0150828 (27 #815)
  • 2. Ulf Grenander and Murray Rosenblatt, Statistical analysis of stationary time series, John Wiley & Sons, New York; Almqvist & Wiksell, Stockholm, 1957. MR 0084975 (18,959b)
  • 3. Paul R. Halmos, Shifts on Hilbert spaces, J. Reine Angew. Math. 208 (1961), 102–112. MR 0152896 (27 #2868)
  • 4. Takeyuki Hida, Canonical representations of Gaussian processes and their applications., Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 33 (1960/1961), 109–155. MR 0119246 (22 #10012)
  • 5. Norbert Wiener, Collected works with commentaries. Vol. III, Mathematicians of Our Time, vol. 20, MIT Press, Cambridge, Mass.-London, 1981. The Hopf\mhy Wiener integral equation;\ prediction and filtering;\ quantum mechanics and relativity;\ miscellaneous mathematical papers; Edited and with an introduction by Pesi Rustom Masani. MR 652691 (83i:01089)
  • 6. A. N. Kolmogorov, Stationary sequences in Hilbert space, Bull. Math. Univ. Moscow 2 (1941), 40 pp. (Russian)
  • 7. Norbert Wiener, Collected works with commentaries. Vol. III, Mathematicians of Our Time, vol. 20, MIT Press, Cambridge, Mass.-London, 1981. The Hopf\mhy Wiener integral equation;\ prediction and filtering;\ quantum mechanics and relativity;\ miscellaneous mathematical papers; Edited and with an introduction by Pesi Rustom Masani. MR 652691 (83i:01089)
  • 8. M. B. Priestley, Non-linear and non-stationary time series analysis, Academic Press, London, New York, 1988.
  • 9. N. Wiener, (A comprehensive survey of Wiener's work on prediction is given in [7].
  • 10. Herman Wold, A study in the analysis of stationary time series, Almqvist and Wiksell, Stockholm, 1954. 2d ed; With an appendix by Peter Whittle. MR 0061344 (15,811d)


Review Information

Reviewer: G. Kallianpur
Journal: Bull. Amer. Math. Soc. 21 (1989), 133-139
DOI: http://dx.doi.org/10.1090/S0273-0979-1989-15791-1
PII: S 0273-0979(1989)15791-1