A strong law of large numbers for identically distributed vector lattice-valued random variables
Mathematica Slovaca (1984)
- Volume: 34, Issue: 1, page 67-72
- ISSN: 0139-9918
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topPotocký, Rastislav. "A strong law of large numbers for identically distributed vector lattice-valued random variables." Mathematica Slovaca 34.1 (1984): 67-72. <http://eudml.org/doc/31599>.
@article{Potocký1984,
author = {Potocký, Rastislav},
journal = {Mathematica Slovaca},
keywords = {vector lattice; laws of large numbers; convergence of weighted sums; order convergence},
language = {eng},
number = {1},
pages = {67-72},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A strong law of large numbers for identically distributed vector lattice-valued random variables},
url = {http://eudml.org/doc/31599},
volume = {34},
year = {1984},
}
TY - JOUR
AU - Potocký, Rastislav
TI - A strong law of large numbers for identically distributed vector lattice-valued random variables
JO - Mathematica Slovaca
PY - 1984
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 34
IS - 1
SP - 67
EP - 72
LA - eng
KW - vector lattice; laws of large numbers; convergence of weighted sums; order convergence
UR - http://eudml.org/doc/31599
ER -
References
top- PADGETT W. J., TAYLOR R. L., Laws of Large Numbers for Normed Linear Spaces and Certain Fréchet Spaces, Springer, Berlin 1973. (1973) Zbl0275.60010MR0426114
- POTOCKÝ R., Laws of large numbers in Banach lattices, Acta F.R.N. Univ, Comen., (to appear.) Zbl0538.60010MR0740750
- LUXEMBURG W. A., ZAANEN C. C., Riesz Spaces I, Amsterdam 1971. (1971)
- SCHAFFER H. H., Banach Lattices and Positive Operators, Berlin 1974. (1974)
- FREMLIN D. H., Topological Riesz Spaces and Measure Theory, Cambridge 1974. (1974) Zbl0273.46035MR0454575
Citations in EuDML Documents
top- Rastislav Potocký, Convergence of weighted sums of random variables in vector lattices
- Rastislav Potocký, On the expected value of vector lattice-valued random variables
- Rastislav Potocký, On relatively uniform convergence of weighted sums of -lattice valued random elements
- Marta Urbaníková, Limit theorems for -lattice valued random variables
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