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Prof. Ahmad Reza Soltani : An Application of The Implicit Function Theorem in Strong Consistency of Parameter Estimators

Posted by , part of the Statistics and Data Science Seminar.

At
Sept. 16, 2009, 3 p.m.
In
SEO 636
Abstract
An approach for proving the strong consistency of certain estimators for unknown parameters in the context of statistical inference is given. This approach is based on an application of the Implicit Function Theorem in Hilbert spaces, and can be applied to the random samples consisting of univariate, multivariate or infinite dimensional random elements.