Strong consistency and rates of convergence for a random estimator of a fuzzy set

An approximation scheme for estimating a fixed, unknown fuzzy set from random samples taken from the nested random set defined by its α-level sets is presented. Its strong consistency is studied, giving rates of convergence in four metrics. A simulation study suggests that the behaviour for moderately small samples is coherent with the theoretical rate of convergence valid for large samples.

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Year of publication:	2014
Authors:	Terán, Pedro ; López-Díaz, Miguel
Published in:	Computational Statistics & Data Analysis. - Elsevier, ISSN 0167-9473. - Vol. 77.2014, C, p. 130-145
Publisher:	Elsevier
Subject:	Fuzzy set \| Random set \| Rate of convergence \| Set estimation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011056484