On the sample size for random experiments with fuzzy imprecision.

M.ª Angeles Gil Alvarez; Pedro Gil Alvarez

Trabajos de Estadística (1988)

  • Volume: 3, Issue: 1, page 33-53
  • ISSN: 0213-8190

Abstract

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Statistical Inference deals with the drawing of conclusions about a random experiment on the basis of the information contained in a sample from it. A random experiment can be defined by means of the set of its possible outcomes (sample space) and the ability of observation of the experimenter. It is usually assumed that this ability allows the experimenter to describe the observable events as subsets of the sample space. In this paper, we will consider that the experimenter can only express the observable events as fuzzy subsets of the sample space and we will adopt an operative model (involving the concepts of fuzzy information system and the probability of a fuzzy event) characterizing the new situation.The presence of fuzziness in the experimental observations entails a loss of information. Nevertheless, this loss can be removed by adequately increasing the sample size. We are going to formalize this last comment by verifying that the extension of the additive measures of directed divergence of order α (Rényi) permits us to determine the appropriate sample size. This procedure can also be applied to look for the suitable sample size from an experiment providing fuzzy observations in order to achieve a desired level of information.

How to cite

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Gil Alvarez, M.ª Angeles, and Gil Alvarez, Pedro. "Sobre el tamaño de muestra para experimentos aleatorios con imprecisión difusa.." Trabajos de Estadística 3.1 (1988): 33-53. <http://eudml.org/doc/40510>.

@article{GilAlvarez1988,
author = {Gil Alvarez, M.ª Angeles, Gil Alvarez, Pedro},
journal = {Trabajos de Estadística},
keywords = {Conjuntos difusos; Experimento aleatorio; Tamaño muestral; random experiment; Zadeh's probability of a fuzzy event; fuzzy information; loss of information; additive measures of directed divergence; sample size},
language = {spa},
number = {1},
pages = {33-53},
title = {Sobre el tamaño de muestra para experimentos aleatorios con imprecisión difusa.},
url = {http://eudml.org/doc/40510},
volume = {3},
year = {1988},
}

TY - JOUR
AU - Gil Alvarez, M.ª Angeles
AU - Gil Alvarez, Pedro
TI - Sobre el tamaño de muestra para experimentos aleatorios con imprecisión difusa.
JO - Trabajos de Estadística
PY - 1988
VL - 3
IS - 1
SP - 33
EP - 53
LA - spa
KW - Conjuntos difusos; Experimento aleatorio; Tamaño muestral; random experiment; Zadeh's probability of a fuzzy event; fuzzy information; loss of information; additive measures of directed divergence; sample size
UR - http://eudml.org/doc/40510
ER -

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