Maximal inequalities and some convergence theorems for fuzzy random variables

Hamed Ahmadzade; Mohammad Amini; Seyed Mahmoud Taheri; Abolghasem Bozorgnia

Kybernetika (2016)

  • Volume: 52, Issue: 2, page 307-328
  • ISSN: 0023-5954

Abstract

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Some maximal inequalities for quadratic forms of independent and linearly negative quadrant dependent fuzzy random variables are established. Strong convergence of such quadratic forms are proved based on the martingale theory. A weak law of large numbers for linearly negative quadrant dependent fuzzy random variables is stated and proved.

How to cite

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Ahmadzade, Hamed, et al. "Maximal inequalities and some convergence theorems for fuzzy random variables." Kybernetika 52.2 (2016): 307-328. <http://eudml.org/doc/281544>.

@article{Ahmadzade2016,
abstract = {Some maximal inequalities for quadratic forms of independent and linearly negative quadrant dependent fuzzy random variables are established. Strong convergence of such quadratic forms are proved based on the martingale theory. A weak law of large numbers for linearly negative quadrant dependent fuzzy random variables is stated and proved.},
author = {Ahmadzade, Hamed, Amini, Mohammad, Taheri, Seyed Mahmoud, Bozorgnia, Abolghasem},
journal = {Kybernetika},
keywords = {fuzzy random variable; quadratic form; linearly negative quadrant dependence; law of large numbers; almost surely convergence; fuzzy random variable; quadratic form; linearly negative quadrant dependence; law of large numbers; almost surely convergence},
language = {eng},
number = {2},
pages = {307-328},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Maximal inequalities and some convergence theorems for fuzzy random variables},
url = {http://eudml.org/doc/281544},
volume = {52},
year = {2016},
}

TY - JOUR
AU - Ahmadzade, Hamed
AU - Amini, Mohammad
AU - Taheri, Seyed Mahmoud
AU - Bozorgnia, Abolghasem
TI - Maximal inequalities and some convergence theorems for fuzzy random variables
JO - Kybernetika
PY - 2016
PB - Institute of Information Theory and Automation AS CR
VL - 52
IS - 2
SP - 307
EP - 328
AB - Some maximal inequalities for quadratic forms of independent and linearly negative quadrant dependent fuzzy random variables are established. Strong convergence of such quadratic forms are proved based on the martingale theory. A weak law of large numbers for linearly negative quadrant dependent fuzzy random variables is stated and proved.
LA - eng
KW - fuzzy random variable; quadratic form; linearly negative quadrant dependence; law of large numbers; almost surely convergence; fuzzy random variable; quadratic form; linearly negative quadrant dependence; law of large numbers; almost surely convergence
UR - http://eudml.org/doc/281544
ER -

References

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