Strong laws of large numbers for double sequences of random elements

Rastislav Potocký; Marta Urbaníková

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 1, page 85-93
  • ISSN: 0232-0525

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Potocký, Rastislav, and Urbaníková, Marta. "Strong laws of large numbers for double sequences of random elements." Mathematica Slovaca 49.1 (1999): 85-93. <http://eudml.org/doc/31943>.

@article{Potocký1999,
author = {Potocký, Rastislav, Urbaníková, Marta},
journal = {Mathematica Slovaca},
keywords = {Banach space; Borel subsets; Pettis integral; independent random elements},
language = {eng},
number = {1},
pages = {85-93},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Strong laws of large numbers for double sequences of random elements},
url = {http://eudml.org/doc/31943},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Potocký, Rastislav
AU - Urbaníková, Marta
TI - Strong laws of large numbers for double sequences of random elements
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 1
SP - 85
EP - 93
LA - eng
KW - Banach space; Borel subsets; Pettis integral; independent random elements
UR - http://eudml.org/doc/31943
ER -

References

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  1. GABRIEL J. P., An inequality for sums of independent random variables indexed by finite dimensional filtering sets and its applications to the convergence of the series, Ann. Probab. 5 (1977), 779-786. (1977) MR0445608
  2. HOFFMANN-JORGENSEN J.-PISIER G., The law of large numbers and the central limit theorem in Banach spaces, Ann. Probab. 4 (1976), 587-599. (1976) MR0423451
  3. ITO K.-NISIO M., On the convergence of sums of independent Banach space valued random variables, Osaka J. Math. 5 (1968), 35-48. (1968) Zbl0177.45102MR0235593
  4. ROHATGI V. K., Convergence of weighted sums of independent random variables, Proc. Cambridge Philos. Soc. 69 (1971), 305-307. (1971) Zbl0209.20004MR0278364
  5. WOYCZYNSKI W. A., On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence, Probab. Math. Statist. 1 (1980), 117-131. (1980) Zbl0502.60006MR0626306

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