Cramér-Rao Lower Bound for Fuzzy-Valued Random Variables
نویسندگان
چکیده
منابع مشابه
Cramér-Rao Lower Bound for Fuzzy-Valued Random Variables
In some point estimation problems, we may confront imprecise (fuzzy) concepts. One important case is a situation where all observations are fuzzy rather than crisp. In this paper, using fuzzy set theory, we define a fuzzy-valued random variable, a fuzzy unbiased estimator, a fuzzy exponential family, and then we state and prove a Cramér-Rao lower bound for such fuzzy estimators. Finally, we giv...
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Unbiased Cramér-Rao lower bound (CRB) theory can be used to calculate lower bounds to the variances of unbiased estimates of a set of parameters given only the probability density function of a random vector conditioned on the true parameter values. However, when the estimated parameter values are required to satisfy inequality constraints such as positivity, the resulting estimator is typicall...
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ژورنال
عنوان ژورنال: Austrian Journal of Statistics
سال: 2016
ISSN: 1026-597X
DOI: 10.17713/ajs.v35i4.357