On relatively uniform convergence of weighted sums of -lattice valued random elements
Mathematica Slovaca (2002)
- Volume: 52, Issue: 4, page 433-442
- ISSN: 0232-0525
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topPotocký, Rastislav. "On relatively uniform convergence of weighted sums of $B$-lattice valued random elements." Mathematica Slovaca 52.4 (2002): 433-442. <http://eudml.org/doc/31872>.
@article{Potocký2002,
author = {Potocký, Rastislav},
journal = {Mathematica Slovaca},
keywords = {strong law of large numbers; negatively dependent random elements; regularity; -Dedekind completeness; -property},
language = {eng},
number = {4},
pages = {433-442},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On relatively uniform convergence of weighted sums of $B$-lattice valued random elements},
url = {http://eudml.org/doc/31872},
volume = {52},
year = {2002},
}
TY - JOUR
AU - Potocký, Rastislav
TI - On relatively uniform convergence of weighted sums of $B$-lattice valued random elements
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 4
SP - 433
EP - 442
LA - eng
KW - strong law of large numbers; negatively dependent random elements; regularity; -Dedekind completeness; -property
UR - http://eudml.org/doc/31872
ER -
References
top- LOEVE M., Probability Theory (Зrd ed.), Van Nostrand, London, 1963. (1963) MR0203748
- POTOCKÝ R., A strong law of large numbers for identically distributed vector lattice-valued random variables, Math. Slovaca 34 (1984), 67-72. (1984) Zbl0599.60038MR0735937
- QI Y., Limit theorems for sums and maxima of pairwise negative quadrant dependent random variables, Systems Sci. Math. Sci. 8 (1995), 249-253. (1995) Zbl0841.60020MR1362068
- RENYI A., Probability Theory, Academia, Prague, 1972. (1972) MR0350789
- WANG X. C.-BHASKARA RAO M., A note on convergence of weighted sums of random variables, J. Multivariate Anal. 15 (1984), 124-134. (1984) MR0755820
- URBANÍKOVÁ M., Limit theorems for B-lattice valued random variables, Math. Slovaca 52 (2002), 99-108. Zbl1007.60002MR1901017
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