On sums of i.i.d. random variables indexed by N parameters

Davar Khoshnevisan

Séminaire de probabilités de Strasbourg (2000)

  • Volume: 34, page 151-156

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Khoshnevisan, Davar. "On sums of i.i.d. random variables indexed by N parameters." Séminaire de probabilités de Strasbourg 34 (2000): 151-156. <http://eudml.org/doc/114033>.

@article{Khoshnevisan2000,
author = {Khoshnevisan, Davar},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {inequalities of reverse martingale-type; Smythe's law of large numbers},
language = {eng},
pages = {151-156},
publisher = {Springer - Lecture Notes in Mathematics},
title = {On sums of i.i.d. random variables indexed by N parameters},
url = {http://eudml.org/doc/114033},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Khoshnevisan, Davar
TI - On sums of i.i.d. random variables indexed by N parameters
JO - Séminaire de probabilités de Strasbourg
PY - 2000
PB - Springer - Lecture Notes in Mathematics
VL - 34
SP - 151
EP - 156
LA - eng
KW - inequalities of reverse martingale-type; Smythe's law of large numbers
UR - http://eudml.org/doc/114033
ER -

References

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  1. [Ca] R. Cairoli, (1970). Une ingalité pour martingales á indices multiples et ses applications, Sém. de Prob. IV, 1-27, Lecture Notes in Math., 124, Springer, New York Zbl0218.60045MR270424
  2. [CD] R. Cairoli AND R.C. Dalang, (1996). Sequential Stochastic Optimization, Wiley, New York Zbl0856.62070MR1369770
  3. [Ch] K.L. Chung, (1974). A Course in Probability Theory, Second Ed., Academic Press, New York Zbl0345.60003MR346858
  4. [LT] M. Ledóux AND M. Talagrand, (1991). Probability in Banach Spaces, Springer, New York Zbl0748.60004MR1102015
  5. [S1] G.R. Shorack AND R.T. Smythe, (1976). Inequalities for max|Sk&verbar;/bk where k ∈ Nr, Proc. Amer. Math. Soc., 54, 331-336 Zbl0327.60036
  6. [S2] R.T. Smythe, (1973). Strong law of large numbers for r—dimensional arrays of random variables, Ann. Prob.,1(1), 164-170 Zbl0258.60026MR346881
  7. [W] J.B. Walsh, (1986). Martingales with a multidimensional parameter and stochastic integrals in the plane, Lectures in Probability and Statistics, 329-491, Lecture Notes in Math.1215, Springer, New York Zbl0602.60044MR875628

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