Skip to main content

On a class of linear processes

  • Conference paper
  • First Online:
Proceedings of the Second Japan-USSR Symposium on Probability Theory

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

  • 560 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  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.

    Article  MATH  Google Scholar 

  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.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

G. Maruyama Yu. V. Prokhorov

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06358-2

  • Online ISBN: 978-3-540-46956-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics