Large deviations in spaces of stable type

Evarist Giné

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 3, page 267-279
  • ISSN: 0246-0203

How to cite

top

Giné, Evarist. "Large deviations in spaces of stable type." Annales de l'I.H.P. Probabilités et statistiques 19.3 (1983): 267-279. <http://eudml.org/doc/77213>.

@article{Giné1983,
author = {Giné, Evarist},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {vector-valued random variable; stable distribution; Banach space; stable p-type},
language = {eng},
number = {3},
pages = {267-279},
publisher = {Gauthier-Villars},
title = {Large deviations in spaces of stable type},
url = {http://eudml.org/doc/77213},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Giné, Evarist
TI - Large deviations in spaces of stable type
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 3
SP - 267
EP - 279
LA - eng
KW - vector-valued random variable; stable distribution; Banach space; stable p-type
UR - http://eudml.org/doc/77213
ER -

References

top
  1. [1] A. Araujo and E. Giné, The Central Limit Theorem for real and Banach valued random variables, Wiley, New York, 1980. Zbl0457.60001MR576407
  2. [2] C.C. Heyde, A contribution to the theory of large deviations for sums of independent random variables. Z. Wahrscheinlichkeitstheorie Verw. Geb., t. 7, 1967 a, p. 303-308. Zbl0158.17001MR216549
  3. [3] C.C. Heyde, On large deviation problems for sums of random variables which are not attracted to the normal law. Ann. Math. Statist., t. 38, 1967 b, p. 1575-1578. Zbl0189.51704MR221564
  4. [4] C.C. Heyde, On large deviation probabilities in the case of attraction to a non-normal law. Sankhya, Series A, t. 30, 1968, p. 253-258. Zbl0182.22903MR240854
  5. [5] C.C. Heyde, A note concerning behavior of iterated logarithm type. Proc. Amer. Math. Soc., t. 23, 1969, p. 85-90. Zbl0185.46901MR251772
  6. [6] J. Kuelbs, Rates of growth for Banach space valued independent increment processes. Lect. Notes in Math. (Probability in Banach spaces II), t. 709, 1979, p. 151-170. Zbl0421.60007MR537700
  7. [7] J. Kuelbs and J. Zinn, Some results on LIL behavior. To appear in Ann. Probability. Zbl0518.60009MR704541
  8. [8] B. Maurey and G. Pisier, Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach. Studia Math., t. 58, 1976, p. 45-90. Zbl0344.47014MR443015
  9. [9] G. Pisier, Le théorème limite central et la loi du logarithme itéré dans les espaces de Banach. Séminaire Maurey-Schwartz, exp. III et IV. École Polytechnique, Paris, 1975–1976. Zbl0403.60011
  10. [10] J. Rosinski, Remarks on Banach spaces of stable type. Probability and Math. Statist., t. 1, 1980, p. 67-71. Zbl0511.60005MR591830
  11. [11] W. Stout, Almost Sure Convergence. Academic Press, New York, 1974. Zbl0321.60022MR455094

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.