Weak convergence to the law of the brownian sheet

Maria Jolis

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1988)

  • Volume: 92, Issue: 7, page 75-82
  • ISSN: 0246-1501

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Jolis, Maria. "Weak convergence to the law of the brownian sheet." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 92.7 (1988): 75-82. <http://eudml.org/doc/80651>.

@article{Jolis1988,
author = {Jolis, Maria},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {criteria of weak compactness; Brownian sheet; central limit theorem for a continuous process},
language = {eng},
number = {7},
pages = {75-82},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Weak convergence to the law of the brownian sheet},
url = {http://eudml.org/doc/80651},
volume = {92},
year = {1988},
}

TY - JOUR
AU - Jolis, Maria
TI - Weak convergence to the law of the brownian sheet
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1988
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 92
IS - 7
SP - 75
EP - 82
LA - eng
KW - criteria of weak compactness; Brownian sheet; central limit theorem for a continuous process
UR - http://eudml.org/doc/80651
ER -

References

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  1. Araujo, A. (1978), On the central limit Theorem in Banach Spaces, J. Multivar. Anal.8, 598-613. Zbl0404.60017MR520969
  2. Bickel, P.J. and Wichura, M.J. (1971), Convergence criteria for multiparameter stochastic processes and some applications, Ann. Math. Stat.42, 1656-1670. Zbl0265.60011MR383482
  3. Billingsley, P. (1968), Convergence of Probability Measures. (Wiley, New York). Zbl0172.21201MR233396
  4. Centsov, N.N. (1971), Limit theorems for some classes of random functions, Selected Translations in Math. Statistics and Probability9, 37-42. Zbl0226.60031
  5. Chung, K.L. (1951), The strong law of large numbers. Proc. Second Berkeley Symposium, 341-352.Univ. of California Press, Berkeley. Zbl0044.13701MR45328
  6. Jain, N. and Marcus, M. (1975), Central limit theorem for C(S)-valued random variables. J. Functional Analysis19, 216-231. Zbl0305.60004MR385994
  7. Marcinkiewicz, J. and Zygmund, A. (1937), Sur les fonctions independantes, Fundamentae Mathematicae29, 60-90. Zbl0016.40901
  8. Nualart, D. (1981), Weak convergence to the law of Two- parameter Continuous Processes, ZfW55, 255-259. Zbl0447.60017MR608020
  9. Stroock, D. (1982), Topics in Stochastic Differential Equations. (Ta-ta Institute of Fundamental Research, Bombay. Springer Verlag). MR685758
  10. Yor. M. (1983), Le drap Brownien comme limite en loi de temps locaux lineaires. Séminaire de Probabilités XVII. Lecture Notes in Math.986, 89-105. Zbl0514.60075MR770400

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