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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Correlations and spectra for non-stationary random functions
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by J. Kampé de Fériet and François N. Frenkiel PDF
Math. Comp. 16 (1962), 1-21 Request permission
References
    R. B. Blackman & J. W. Tukey, The Measurement of Power Spectra, Dover Publications, Inc., New York, 1958. S. Bochner, Vorlesungen über Fouriersche Integrale, Akad-Verlag, Leipzig, 1932. (Reprint: Chelsea, New York, 1948).
  • M. M. Crum, On positive-definite functions, Proc. London Math. Soc. (3) 6 (1956), 548–560. MR 83534, DOI 10.1112/plms/s3-6.4.548
  • J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896
  • F. N. Frenkiel & J. Kampé de Fériet, Proceedings of the International Congress of Mathematicians, Nordhoff, Groningen, v. 2, 1954, p. 291.
  • Ulf Grenander and Murray Rosenblatt, Statistical analysis of stationary time series, John Wiley & Sons, New York; Almqvist & Wiksell, Stockholm, 1957. MR 0084975, DOI 10.1063/1.3060405
  • Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869, DOI 10.1007/978-1-4684-9440-2
  • E. W. Hobson, The Theory of Functions of a Real Variable, Dover Publications, New York, 1957, v. 1 and 2.
  • Joseph Kampé de Fériet and François Frenkiel, Estimation de la corrélation d’une fonction aléatoire non stationnaire, C. R. Acad. Sci. Paris 249 (1959), 348–351 (French). MR 107300
  • J. Kampé de Fériet, “Introduction to the statistical theory of turbulence,” J. Soc. Indust. Appl. Math., v. 2, 1954, p. 1-9, 143-174, 244-271; v. 3, 1955, p. 90-117. M. G. Kendall & B. B. Smith, Random Sampling Numbers, Cambridge University Press, 1939. Paul Lévy, Calcul des Probabilités, Gauthier-Villars, Paris, 1925.
  • Emanuel Parzen, On consistent estimates of the spectrum of a stationary time series, Ann. Math. Statist. 28 (1957), 329–348. MR 88833, DOI 10.1214/aoms/1177706962
  • Emanuel Parzen, On choosing an estimate of the spectral density function of a stationary time series, Ann. Math. Statist. 28 (1957), 921–932. MR 95566, DOI 10.1214/aoms/1177706793
  • Norbert Wiener, The Fourier integral and certain of its applications, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1988. Reprint of the 1933 edition; With a foreword by Jean-Pierre Kahane. MR 983891, DOI 10.1017/CBO9780511662492
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Additional Information
  • © Copyright 1962 American Mathematical Society
  • Journal: Math. Comp. 16 (1962), 1-21
  • MSC: Primary 62.85
  • DOI: https://doi.org/10.1090/S0025-5718-1962-0137265-4
  • MathSciNet review: 0137265