Central limit problem and invariance principles on Banach spaces

Vidyadhar Mandrekar

Séminaire de probabilités de Strasbourg (1983)

  • Volume: 17, page 425-497

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Mandrekar, Vidyadhar. "Central limit problem and invariance principles on Banach spaces." Séminaire de probabilités de Strasbourg 17 (1983): 425-497. <http://eudml.org/doc/113459>.

@article{Mandrekar1983,
author = {Mandrekar, Vidyadhar},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {central limit theorem; invariance principles; empirical measures; Banach space},
language = {eng},
pages = {425-497},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Central limit problem and invariance principles on Banach spaces},
url = {http://eudml.org/doc/113459},
volume = {17},
year = {1983},
}

TY - JOUR
AU - Mandrekar, Vidyadhar
TI - Central limit problem and invariance principles on Banach spaces
JO - Séminaire de probabilités de Strasbourg
PY - 1983
PB - Springer - Lecture Notes in Mathematics
VL - 17
SP - 425
EP - 497
LA - eng
KW - central limit theorem; invariance principles; empirical measures; Banach space
UR - http://eudml.org/doc/113459
ER -

References

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  1. [1] Billingsley P. (1968) : Convergences of Probability measures, Wiley, New York. Zbl0172.21201MR233396
  2. [2] Feller W. (1971) : Introduction to Probability Theory and its applications, Vol. 2, Wiley, New York. Zbl0219.60003MR270403
  3. [3] Loeve M. (1968) : Probability Theory, Van NeustrandPrinceton. 
  4. [4] Parthasarathy K.R. (1967) : Probability measures on metric spaces, Academic Press, N. Y. Zbl0153.19101
  5. [1] De Acosta A. (1982) : An invariance principle in probability for triangular arrays of B-valued random vectors, Annals of Probability, 10 . Zbl0499.60009
  6. [2] Dabrowski A., Dehling H., Philipp W. (1981) : An almost sure invariance principle for triangular arrays of Banach space valued random variables (preprint). Zbl0541.60006
  7. [3] Dudley R.M. and Philipp W. (1982) : Invariance principles for sums of Banach space valued random elements and empirical processes. Preprint. 

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