On the expected value of vector lattice-valued random variables

Rastislav Potocký

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 4, page 401-405
  • ISSN: 0232-0525

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Potocký, Rastislav. "On the expected value of vector lattice-valued random variables." Mathematica Slovaca 36.4 (1986): 401-405. <http://eudml.org/doc/32214>.

@article{Potocký1986,
author = {Potocký, Rastislav},
journal = {Mathematica Slovaca},
keywords = {expected value of a random variable with values in an Archimedean vector lattice; convergence in vector lattice; order convergence; convergence theorem of Beppo-Levi's type},
language = {eng},
number = {4},
pages = {401-405},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the expected value of vector lattice-valued random variables},
url = {http://eudml.org/doc/32214},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Potocký, Rastislav
TI - On the expected value of vector lattice-valued random variables
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 4
SP - 401
EP - 405
LA - eng
KW - expected value of a random variable with values in an Archimedean vector lattice; convergence in vector lattice; order convergence; convergence theorem of Beppo-Levi's type
UR - http://eudml.org/doc/32214
ER -

References

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  1. CRISTESCU R., Sur la représentation integrate de certains opérateurs linéeires, Rev. Roum. Math. Pures et Appl., tome XXV., 4, 519-524, Bucarest 1980. (1980) MR0577044
  2. КАНТОРОВИЧ Л. В., ВУЛИХ В. З., ПИНСКЕР А. Г., Функциональный анализ в полуупорядоченных пространствах, Mocквa 1950 r. (1950) Zbl1157.76305
  3. LUXEMBURG W. A., ZAANEN C. C., Riesz Spaces I, Amsterdam 1971. (1971) 
  4. FREMLIN D. H., Topological Riesz Spaces and Measure Theory, Cambridge 1974. (1974) Zbl0273.46035MR0454575
  5. SCHAFFER H. H., Banach Lattices and Positive Operators, Berlin 1974. (1974) 
  6. POTOCKÝ R., A strong law of large numbers for identically distributed vector lattice-valued random variables, Math. Slovaca 34, 1984, 1, 67-72. (1984) Zbl0599.60038MR0735937

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