In statistics and econometrics, extremum estimators are a wide class of estimators for parametric models that are calculated through maximization (or minimization) of a certain objective function, which depends on the data. The general theory of extremum estimators was developed by Amemiya (1985).
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In statistics and econometrics, extremumestimators are a wide class of estimators for parametric models that are calculated through maximization (or minimization)...
infinity). In frequentist inference, MLE is a special case of an extremumestimator, with the objective function being the likelihood. We model a set...
In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the...
continuity of the objective function, suffices for the existence of an extremumestimator. In Deep Learning, the parameters of a deep network are called weights...
result is useful to derive consistency of a large class of estimators (see Extremumestimator). Borel's law of large numbers, named after Émile Borel, states...
ISBN 978-1107163447. Močkus, Jonas (1975). "On bayesian methods for seeking the extremum". Optimization Techniques IFIP Technical Conference Novosibirsk, July 1–7...
extension is a function with a single local extremum. One important property of unimodal functions is that the extremum can be found using search algorithms...
probability distribution Fisher–Tippett–Gnedenko theorem – limit theorem for extremum values (such as max{Xn}) Irwin–Hall distribution Markov chain central limit...
of filter weights is a quadratic function which means it has only one extremum, that minimizes the mean-square error, which is the optimal weight. The...
ISBN 978-1-4725-6167-1, retrieved 2021-05-31 Nwabueze, JC (2008-05-21). "Performances of estimators of linear model with auto-correlated error terms when the independent...
written as E[G]. However, G is determined not as its minimum, but as its extremum. Thus we may have some theoretical and practical difficulties. There is...