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On a class of linear processes

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Part of the Lecture Notes in Mathematics book series (LNM,volume 330)

Keywords

  • Covariance Function
  • Random Measure
  • Nondecreasing Function
  • Finite Interval
  • Nonrandom Function

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References

  1. A. Blanc-Lapierre and P. Brard: Les fonctions aléatoire et la loi des grand nombres, Bull. Soc. Math. de France, 74(1946) 102–115.

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  2. M. Kac, R. Salem and A. Zygmund: A gap theorem, Trans. Amer. Math. Soc., 63(1948) 235–243.

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  3. T. Kawata: Fourier analysis of nonstationary stochastic processes, Trans. Amer. Math. Soc., 118(1965) 276–302.

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  4. R. Lugannani: Convergence properties of the sample mean and sample correlation for a class of pulse trains, SIAM J. Appl. Math., 21(1971) 1–12.

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  5. Yu A. Rozanov: Stationary random processes, Eng. Transl., 1967, Holden Day, San Francisco.

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  6. I.N. Verbitskaya: On conditions for the strong law of large numbers to be applicable to second order stationary processes, Theory of Prob. Appl., 9(1964) 325–331.

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  7. I.N. Verbitskaya: On conditions for the applicability of the strong law of large numbers to wide sense stationary processes, Theory of Prob. Appl., 11(1966) 632–636.

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© 1973 Springer-Verlag

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Kawata, T. (1973). On a class of linear processes. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061488

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  • DOI: https://doi.org/10.1007/BFb0061488

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06358-2

  • Online ISBN: 978-3-540-46956-8

  • eBook Packages: Springer Book Archive