Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

Fuzzy Confidence Interval Estimation by Likelihood Ratio

Authors
Rédina Berkachy, Laurent Donzé
Corresponding Author
Rédina Berkachy
Available Online August 2019.
DOI
10.2991/eusflat-19.2019.23How to use a DOI?
Keywords
Estimation Likelihood ratio Fuzzy Confidence Interval Fuzzy Statistical Inference
Abstract

We propose a fuzzy confidence interval estimation based on the likelihood ratio. This ratio, often used in hypotheses testing seems to be an efficient tool for calculating confidence intervals since it is known to be general, and thus can be applied on any parameter. The strength of the defended procedure is to use a wide range of estimators with any type of distribution for the estimation of confidence intervals when fuzziness occurs. The theoretical approach and the detailed steps of the calculation are given. This approach is illustrated by a classical problem: a fuzzy confidence interval for the fuzzy mean in the context of a normal distribution. Finally, a comparison between the interval by the defended approach and one calculated by a frequently used expression is made. Our results show that the support set of the fuzzy interval by the defended method is smaller than the one by the known expression.

Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
978-94-6252-770-6
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.23How to use a DOI?
Copyright
© 2019, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Rédina Berkachy
AU  - Laurent Donzé
PY  - 2019/08
DA  - 2019/08
TI  - Fuzzy Confidence Interval Estimation by Likelihood Ratio
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 150
EP  - 157
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.23
DO  - 10.2991/eusflat-19.2019.23
ID  - Berkachy2019/08
ER  -