NDLI: One-sample tests for a generalized Fréchet variance of a fuzzy random variable

Content Provider	Springer Nature Link
Author	Ramos Guajardo, Ana Belén Colubi, Ana González Rodríguez, Gil Gil, María Ángeles
Copyright Year	2008
Abstract	A procedure to test hypotheses about the population variance of a fuzzy random variable is analyzed. The procedure is based on the theory of UH-statistics. The variance is defined in terms of a general metric to quantify the variability of the fuzzy values about its (fuzzy) mean. An asymptotic one-sample test in a wide setting is developed and a bootstrap test, which is more suitable for small and moderate sample sizes, is also studied. Moreover, the power function of the asymptotic procedure through local alternatives is analyzed. Some simulations showing the empirical behavior and consistency of both tests are carried out. Finally, some illustrative examples of the practical application of the proposed tests are presented.
Starting Page	185
Ending Page	202
Page Count	18
File Format	PDF
ISSN	00261335
Journal	Metrika
Volume Number	71
Issue Number	2
e-ISSN	1435926X
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-01-06
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Fuzzy random variable Support function Hypothesis testing Fréchet variance Bootstrap techniques UH-statistics Economic Theory Probability Theory and Stochastic Processes Statistics for Business/Economics/Mathematical Finance/Insurance Statistics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty

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