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Some remarks on the central limit theorem in C(S)

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Part of the Lecture Notes in Mathematics book series (LNM,volume 526)

Keywords

  • Brownian Motion
  • Central Limit Theorem
  • Gaussian Process
  • Invariance Principle
  • Triangular Array

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References

  1. Giné M. E., (1974). On the central limit theorem for sample continuous processes. Ann. Probability 2 629–641.

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  2. Giné M., E. (To appear). A note on the central limit theorem in C(S).

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  3. Jain, N. C. and Marcus, M. B. (To appear). Central limit theorems for C(S) valued random variables. J. Functional Analysis.

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  4. Paulauskas, V. (1969). On a bound for the rate of convergence in the multidimensional central limit theorem. (Russian). Litovsk. Mat. Sb. 9 791–815.

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  5. Sazonov, V. (1968). On the multidimensional central limit theorem. Sankhyà, Ser. A 30 181–204.

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  6. Strassen, V. and Dudley, R. M. (1969). The central limit theorem and ε-entropy. Lecture Notes in Math. 89 224–231.

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  7. Ylvisaker, D. (1965). The expected number of zeros of a stationary Gaussian process. Ann. Math. Statist. 36 1043–1046.

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  8. Ylvisaker, D. (1968). A note on the absence of tangencies in Gaussian sample paths. Ann. Math. Statist. 39 261–262.

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© 1976 Springer-Verlag

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Giné, E. (1976). Some remarks on the central limit theorem in C(S). In: Beck, A. (eds) Probability in Banach Spaces. Lecture Notes in Mathematics, vol 526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082345

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  • DOI: https://doi.org/10.1007/BFb0082345

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07793-0

  • Online ISBN: 978-3-540-38256-0

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