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Nonparametric estimator for the standardized sum using edgeworth expansions
(International Journal of Scientific Research, 2018-02-01)
Constructing an estimator for functional estimation is one of the problems in statistical inference. In this paper, the problem of constructing an estimator for a studentized sum is considered in the nonparametric set-up. ...
On minimax risk of non-smooth functional, its asymptotic properties and polynomial estimation
(IJRDO-Journal Of Mathematics, 2015-06-01)
Nonparametric estimation of non-smooth functionals deals with highly structured problems which arise, modeled or cast differently from the ones for which mainline numerical methods have been designed. Non-smooth functional ...
Estimating Non-Smooth Functional Using Non-Parametric Procedure in the Hilbert Sample Space
(International Journal of Engineering & Mathematical Sciences., 2017-06-01)
One of the problems in statistical inference is that of estimating functional. A functional is a mathematical relation that maps two or more functions in one number. They are either smooth or non-smooth. The smoothness ...