The present paper deals with the extension of the likelihood estimation to the situation where the experimentation does not provide exact information but rather vague information.
The extension process tries to achieve three fundamental objectives: the new method must be an extension of the maximum likelihood method, it has to be very simple to apply and it must allow for an interesting interpretation.
These objectives are achieved herein by using the following concepts: the fuzzy information (introduced by H. Tanaka et al.) and the inaccuracy (introduced by D. F. Kerridge).
@article{urn:eudml:doc:38907,
title = {The minimun inaccuracy fuzzy estimation: An extension of the maximum likelihood principle.},
journal = {Stochastica},
volume = {8},
year = {1984},
pages = {63-81},
zbl = {0599.62010},
mrnumber = {MR0780140},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38907}
}
Corral, Norberto; Gil, M.ª Angeles. The minimun inaccuracy fuzzy estimation: An extension of the maximum likelihood principle.. Stochastica, Tome 8 (1984) pp. 63-81. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38907/