Convergence of weighted sums of random variables in vector lattices

Rastislav Potocký

Mathematica Slovaca (1984)

  • Volume: 34, Issue: 3, page 273-276
  • ISSN: 0232-0525

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Potocký, Rastislav. "Convergence of weighted sums of random variables in vector lattices." Mathematica Slovaca 34.3 (1984): 273-276. <http://eudml.org/doc/31514>.

@article{Potocký1984,
author = {Potocký, Rastislav},
journal = {Mathematica Slovaca},
keywords = {order-convergence of weighted sums; vector lattices},
language = {eng},
number = {3},
pages = {273-276},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Convergence of weighted sums of random variables in vector lattices},
url = {http://eudml.org/doc/31514},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Potocký, Rastislav
TI - Convergence of weighted sums of random variables in vector lattices
JO - Mathematica Slovaca
PY - 1984
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 34
IS - 3
SP - 273
EP - 276
LA - eng
KW - order-convergence of weighted sums; vector lattices
UR - http://eudml.org/doc/31514
ER -

References

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  1. POTOCKÝ R., A strong law of large numbers for identically distributed vector lattice-valued random variables, Mathematica Slovaca, to appear. Zbl0599.60038MR0735937
  2. FREMLIN D. H., Topological Riesz Spaces and Measure Theory, Cambridge, 1974. (1974) Zbl0273.46035MR0454575
  3. PADGETT W. J., TAYLOR R. L., Almost sure convergence of weighted sums of random elements in Banach spaces, Lecture Notes in Mathematics. Vol. 526. Springer, Berlin 1976. (1976) Zbl0342.60008MR0455065
  4. TAYLOR R. L., Stochastic Convergence of weighted Sums of Random Elements in Linear Spaces, Springer, Berlin 1978. (1978) Zbl0443.60004MR0513422
  5. BOZORGINA A., RAO M. BHASKARA, Limit theorems for weighted sums of random elements in separable B-spaces, J. Multivariate Anal. 9 (1979), no. 3, 428-433. (1979) MR0548793
  6. ROHATGI W. K., Convergence of weighted sums of independent random variables, Proc. Cambridge Philos. Soc. 69 (1971), 305-307. (1971) Zbl0209.20004MR0278364

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