Domains of partial attraction in several dimensions

Evarist Giné

Annales de l'I.H.P. Probabilités et statistiques (1980)

  • Volume: 16, Issue: 2, page 87-100
  • ISSN: 0246-0203

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Giné, Evarist. "Domains of partial attraction in several dimensions." Annales de l'I.H.P. Probabilités et statistiques 16.2 (1980): 87-100. <http://eudml.org/doc/77142>.

@article{Giné1980,
author = {Giné, Evarist},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {domains of partial attraction},
language = {eng},
number = {2},
pages = {87-100},
publisher = {Gauthier-Villars},
title = {Domains of partial attraction in several dimensions},
url = {http://eudml.org/doc/77142},
volume = {16},
year = {1980},
}

TY - JOUR
AU - Giné, Evarist
TI - Domains of partial attraction in several dimensions
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1980
PB - Gauthier-Villars
VL - 16
IS - 2
SP - 87
EP - 100
LA - eng
KW - domains of partial attraction
UR - http://eudml.org/doc/77142
ER -

References

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  2. [2] A. De Acosta and J. Samur, Infinitely divisible probability measures and the converse Kolmogorov inequality in Banach spaces. Studia Math., t. 56, 1979, p. 143-160. Zbl0426.60003MR565155
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  4. [4] R.M. Dudley, Convergence of Baire measures. Studia Math., t. 27, 1966, p. 251-268. Zbl0147.31301MR200710
  5. [5] W. Feller, An introduction to Probability Theory and its applications, Vol. II, 1971, Wiley, New York. Zbl0219.60003MR270403
  6. [6] B.V. Gnedenko and A.N. Kolmogorov, Limit distributions for sums of independent random variables, 1954, Addison-Wesley, Reading, Mass. (U. S. A.). Zbl0056.36001MR62975
  7. [7] E. Giné, V. Mandrekar and J. Zinn, On sums of independent random variables with values in Lp, p ≥ 2. Lecture Notes in Math., t. 709, 1979, p. 111-124. Zbl0424.60004MR537697
  8. [8] N. Jain, Central limit theorem and related questions in Banach spaces. Proc. Symp. in Pure Math., t. XXXI, 1976, p. 55-65. Amer. Math. Soc., Providence, R. I. (U. S. A.). Zbl0389.60002MR451328
  9. [9] N. Jain and S. Orey, Domains of partial attraction and tightness conditions, 1978. Preprint. MR573294
  10. [10] A. Khinchin, Zur Theorie des unbeschränkt teilbaren Verteilungsgesetze. Mat. Sbornik, t. 2 (44), 1937, p. 79-120. Zbl0016.41001
  11. [11] K.R. Parthasarathy, Probability measures on metric spaces, 1967, Academic Press, New York. Zbl0153.19101MR226684
  12. [12] G. Pisier and J. Zinn, On the limit theorems for random variables with values in Lp, p ≥ 2. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 41, 1978, p. 289-304. Zbl0364.60031MR471010
  13. [13] A. Tortrat, Sur la structure des lois indéfiniment divisibles dans les spaces vectoriels. Z. Wahrscheinlichkeitstheorie verw. Geb., t. 11, 1969, p. 311-326. Zbl0167.46203MR246343
  14. [14] N. Vakhania, Sur une propriété des répartitions normales de probabilités dans les spaces lp (1 ≤ p &lt; ∞). C. R. Acad. Sci. Paris, t. 260, 1965, 1334-1336. Zbl0132.13003
  15. [15] Y.V. Yurinskii, On infinitely divisible distributions. Theor. Probability Appl., t. 19, 1974, 297-308. Zbl0309.60006

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