Estimating the fuzzy inequality associated with a fuzzy random variable in random samplings from finite populations

Hortensia López-García; María Angeles Gil; Norberto Corral; María Teresa López

Kybernetika (1998)

  • Volume: 34, Issue: 2, page [149]-161
  • ISSN: 0023-5954

Abstract

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In a recent paper we have introduced the fuzzy hyperbolic inequality index, to quantify the inequality associated with a fuzzy random variable in a finite population. In previous papers, we have also proven that the classical hyperbolic inequality index associated with real-valued random variables in finite populations can be unbiasedly estimated in random samplings. The aim of this paper is to analyze the problem of estimating the population fuzzy hyperbolic index associated with a fuzzy random variable in random samplings from finite populations. This analysis will lead us to conclude that an unbiased (up to additive equivalences) estimator of the population fuzzy hyperbolic inequality index can be constructed on the basis of the sample index and the expected value of the values fuzzy hyperbolic inequality in the sample.

How to cite

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López-García, Hortensia, et al. "Estimating the fuzzy inequality associated with a fuzzy random variable in random samplings from finite populations." Kybernetika 34.2 (1998): [149]-161. <http://eudml.org/doc/33342>.

@article{López1998,
abstract = {In a recent paper we have introduced the fuzzy hyperbolic inequality index, to quantify the inequality associated with a fuzzy random variable in a finite population. In previous papers, we have also proven that the classical hyperbolic inequality index associated with real-valued random variables in finite populations can be unbiasedly estimated in random samplings. The aim of this paper is to analyze the problem of estimating the population fuzzy hyperbolic index associated with a fuzzy random variable in random samplings from finite populations. This analysis will lead us to conclude that an unbiased (up to additive equivalences) estimator of the population fuzzy hyperbolic inequality index can be constructed on the basis of the sample index and the expected value of the values fuzzy hyperbolic inequality in the sample.},
author = {López-García, Hortensia, Gil, María Angeles, Corral, Norberto, López, María Teresa},
journal = {Kybernetika},
keywords = {fuzzy random variable; estimation; fuzzy hyperbolic inequality; fuzzy random variable; estimation; fuzzy hyperbolic inequality},
language = {eng},
number = {2},
pages = {[149]-161},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Estimating the fuzzy inequality associated with a fuzzy random variable in random samplings from finite populations},
url = {http://eudml.org/doc/33342},
volume = {34},
year = {1998},
}

TY - JOUR
AU - López-García, Hortensia
AU - Gil, María Angeles
AU - Corral, Norberto
AU - López, María Teresa
TI - Estimating the fuzzy inequality associated with a fuzzy random variable in random samplings from finite populations
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 2
SP - [149]
EP - 161
AB - In a recent paper we have introduced the fuzzy hyperbolic inequality index, to quantify the inequality associated with a fuzzy random variable in a finite population. In previous papers, we have also proven that the classical hyperbolic inequality index associated with real-valued random variables in finite populations can be unbiasedly estimated in random samplings. The aim of this paper is to analyze the problem of estimating the population fuzzy hyperbolic index associated with a fuzzy random variable in random samplings from finite populations. This analysis will lead us to conclude that an unbiased (up to additive equivalences) estimator of the population fuzzy hyperbolic inequality index can be constructed on the basis of the sample index and the expected value of the values fuzzy hyperbolic inequality in the sample.
LA - eng
KW - fuzzy random variable; estimation; fuzzy hyperbolic inequality; fuzzy random variable; estimation; fuzzy hyperbolic inequality
UR - http://eudml.org/doc/33342
ER -

References

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