On the asymptotic equidistribution of sums of independent identically distributed random variables

W. Stadje

Annales de l'I.H.P. Probabilités et statistiques (1989)

  • Volume: 25, Issue: 2, page 195-203
  • ISSN: 0246-0203

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Stadje, W.. "On the asymptotic equidistribution of sums of independent identically distributed random variables." Annales de l'I.H.P. Probabilités et statistiques 25.2 (1989): 195-203. <http://eudml.org/doc/77347>.

@article{Stadje1989,
author = {Stadje, W.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {equidistribution; asymptotic translation invariance},
language = {eng},
number = {2},
pages = {195-203},
publisher = {Gauthier-Villars},
title = {On the asymptotic equidistribution of sums of independent identically distributed random variables},
url = {http://eudml.org/doc/77347},
volume = {25},
year = {1989},
}

TY - JOUR
AU - Stadje, W.
TI - On the asymptotic equidistribution of sums of independent identically distributed random variables
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1989
PB - Gauthier-Villars
VL - 25
IS - 2
SP - 195
EP - 203
LA - eng
KW - equidistribution; asymptotic translation invariance
UR - http://eudml.org/doc/77347
ER -

References

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  1. [1] L. Breiman, Probability, Addison-Wesley, Reading, Mass., 1968. Zbl0174.48801MR229267
  2. [2] W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, 2nd Ed., J. Wiley, New York, 1971. Zbl0138.10207MR270403
  3. [3] H. Robbins, On the Equidistribution of Sums of Independent Random Variables, Proc. Amer. Math. Soc., Vol. 4, 1953, pp. 786-799. Zbl0053.26704MR56869
  4. [4] W. Stadje, Gleichverteilungseigenschaften von Zufallsvariablen, Math. Nachr., Vol. 123, 1985, pp. 47-53. Zbl0586.60034MR809332
  5. [5] L.A. Shepp, A Local Limit Theorem, Ann. Math. Statist., Vol. 35, 1964, pp. 419-423. Zbl0146.39103MR166817
  6. [6] C.J. Stone, A Local Limit Theorem for Multidimensional Distribution Functions, Ann. Math. Statist., Vol. 36, 1965, pp. 546-551. Zbl0135.19204MR175166
  7. [7] C.J. Stone, On Local and Ratio Limit Theorems, Proc. Fifth Berkeley Symp. Math. Statist. and Prob., Vol. III, pp. 217-224. University of California Press, Berkeley, 1967. Zbl0236.60021MR222939

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