# 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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top## How to cite

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
- Marta Urbaníková, Limit theorems for $B$-lattice valued random variables
- Rastislav Potocký, On relatively uniform convergence of weighted sums of $B$-lattice valued random elements

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