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Quelques remarques relatives au theoreme central-limite dans C(S)

Part of the Lecture Notes in Mathematics book series (LNM,volume 644)

Keywords

  • Gaussian Process
  • Trigonometric Series
  • Iterate Logarithm
  • Situation Entrant
  • Cette Condition

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References

  1. A. de ARAUJO On the central-limit theorem in C[0, 1]. Preprint (1974).

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  2. X. FERNIQUE Régularité des trajectoires des fonctions aléatoires gaussiennes. Ecole d'été de Probabilités de St Flour 4. Lecture Notes in Math. 480 (1975) Springer, p. 1–96.

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  3. X. FERNIQUE Continuité et théorème central-limite pour les transformées de Fourier de mesures aléatoires de second ordre. Preprint (1977).

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  4. A.M. GARSIA Continuity properties of gaussian processes with multi-dimensional time parameter. Proc. Sixth Berkeley Symp. Math. Stat. Prob. 2 (1971) Univ. of California Press, p. 369–374.

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  5. B. HEINKEL Mesures majorantes et théorème de la limitecentrale dans C(S). Z. Wahrscheinlichkeitstheorie Verw. Gebiete, 38, 4 (1977), p. 339–351.

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  6. N.C. JAIN, M.B. MARCUS Central-limit theorems for C(S)-valued random variables. J. Functional Analysis 19 (1975), p. 216–231.

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  7. M.B. MARCUS Continuity and the central-limit theorem for random trigonometric series. Preprint.

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  8. J. KUELBS The law of the iterated logarithm in C(S). Preprint.

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  9. G. PISIER Le théorème de la limite centrale et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz, 1975/76, exposés no 3 et 4.

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© 1978 Springer-Verlag

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Heinkel, B. (1978). Quelques remarques relatives au theoreme central-limite dans C(S). In: Aron, R.M., Dineen, S. (eds) Vector Space Measures and Applications I. Lecture Notes in Mathematics, vol 644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066848

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  • DOI: https://doi.org/10.1007/BFb0066848

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