On crossings of arbitrary curves by certain Gaussian processes
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- by M. R. Leadbetter PDF
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References
-
Yu. K. Belaev, Continuity and Hölder’s conditions for sample functions of stationary Gaussian processes, Proc. 4th Berkeley Sympos., Vol. 2, pp. 23-33, Univ. of California Press, Berkeley, Calif., 1961.
E. C. Bulinskaya, On the mean number of crossings of a level by a stationary Gaussian process, Teor. Verojatnost. i Primenen. 6 (1961), 474-477. (Russian)
Harald Cramér, On extreme values of certain normal nonstationary stochastic processes, Research Triangle Inst. Tech. Rep. GU-68, No. 4, 1963.
- Ulf Grenander and Murray Rosenblatt, Statistical analysis of stationary time series, John Wiley & Sons, New York; Almqvist & Wiksell, Stockholm, 1957. MR 0084975
- Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
- G. A. Hunt, Random Fourier transforms, Trans. Amer. Math. Soc. 71 (1951), 38–69. MR 51340, DOI 10.1090/S0002-9947-1951-0051340-3
- M. Kac, On the average number of real roots of a random algebraic equation, Bull. Amer. Math. Soc. 49 (1943), 314–320. MR 7812, DOI 10.1090/S0002-9904-1943-07912-8 H. Steinberg, P. M. Schultheiss, C. A. Wogrin, and F. Zweig, Short time frequency measurement of narrow-band random signals by means of a zero counting process, J. Appl. Phys. 26 (1955), 195-201.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 60-68
- MSC: Primary 60.40; Secondary 60.50
- DOI: https://doi.org/10.1090/S0002-9939-1965-0170382-6
- MathSciNet review: 0170382