The minimum ø-divergence estimates with fuzzy observations: Statistical applications
✍ Scribed by M.L. Menendez
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 401 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
In this paper we consider statistical problems involving experiments whose observation does not provide exact information, but that it may be assimilated with fuzzy information. First, we present the minimum @divergence estimator 0k for the unknown parameter 0 on the basis of the 4)-divergence between the fuzzy statistic and the probability vector of the fuzzy information system based on a fuzzy random sample. Properties of this estimator are also used to obtain the asymptotic distribution of the statistic associated to the minimum @divergence estimator. This asymptotic distribution is used to give a testing procedure.