Journal
METRIKA
Volume 59, Issue 1, Pages 31-49Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s001840300270
Keywords
boot strap; distance between fuzzy numbers; fuzzy random variables; large smaple theory
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In this paper we will consider hypothesis-tests for the (fuzzy-valued) mean value of a fuzzy random variable in a population. For this purpose, we will make use of a generalized metric for fuzzy numbers, and we will develop an approach for normal fuzzy random variables, and two different approaches for the case of fuzzy random variables taking on a finite number of different values. A real-life example illustrates the use of the last two approaches. Finally, a comparison between the introduced techniques is developed by means of simulation studies leading to close inferential conclusions.
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