Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Similarity based one-sided tests for the expected value and interval data

Authors
Przemyslaw Grzegorzewski, Ana Belén Ramos-Guajardo
Corresponding Author
Przemyslaw Grzegorzewski
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.135How to use a DOI?
Keywords
One-sided hypothesis test, expected value, interval data, hypothesis testing, bootstrap approach.
Abstract

A novel way for addressing one-sided hypothesis tests for the mean of unable to observe real random variables from which we have information provided in terms of interval data is proposed. For this purpose, a measure of similarity between intervals is considered and the classical one-sided hypothesis test to check whether the similarity between the expectation of a random interval and a subset of an specific unbounded interval is high enough. Asymptotic and bootstrap techniques are applied in order to study the limit distribution of the proposed test statistic. Some simulations have been carried out in order to show the empirical behavior of the test.

Copyright
© 2015, 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/).

Download article (PDF)

Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.135How to use a DOI?
Copyright
© 2015, 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  - Przemyslaw Grzegorzewski
AU  - Ana Belén Ramos-Guajardo
PY  - 2015/06
DA  - 2015/06
TI  - Similarity based one-sided tests for the expected value and interval data
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 960
EP  - 966
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.135
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.135
ID  - Grzegorzewski2015/06
ER  -