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Some strong and weak laws of large numbers for weighted sums in D[0,1]

Part of the Lecture Notes in Mathematics book series (LNM,volume 860)

Keywords

  • Random Function
  • Random Element
  • Uniform Boundedness
  • Supremum Norm
  • Toeplitz Matrix

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References

  • Billingsley, P. (1968). Convergence of Probability Measures. Wiley, New York.

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  • Daffer, P. Z. (1979). On compact convex subsets of D[0,1]. Rocky Mountain Journal of Mathematics, to appear.

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  • Rohatgi, V. K. (1971). Convergence of weighted sums of independent random variables. Proc. Cambridge Phil. Soc. 69, 305–307.

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  • Taylor, R. L. (1978). Stochastic Convergence of Weighted Sums of Random Elements in Linear Spaces. Lecture Notes in Mathematics, Vol. 672, Springer-Verlag, Berlin, Heidelberg, New York.

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  • Taylor, R. L. and Daffer, P. Z. (1979a). Laws of large numbers for D[0,1]. Annals of Probability 7, 85–95.

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  • Taylor, R. L. and Daffer, P. Z. (1979b). Convergence of weighted sums of random elements in D[0,1]. Journal of Multivariate Analysis 9, 1–12.

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© 1981 Springer-Verlag

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Daffer, P.Z. (1981). Some strong and weak laws of large numbers for weighted sums in D[0,1]. In: Beck, A. (eds) Probability in Banach Spaces III. Lecture Notes in Mathematics, vol 860. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090610

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  • DOI: https://doi.org/10.1007/BFb0090610

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10822-1

  • Online ISBN: 978-3-540-38710-7

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