In various statistical model, such as density estimation and estimation of regression curves or hazard rates, monotonicity constraints can arise naturally. A frequently encountered problem in nonparametric statistics is to estimate a monotone density function f on a compact interval. A known estimator for density function of f under the restriction that f is decreasing, is Grenander estimator, ...

Abstract Allen and Tett (1999, herein AT99) introduced a Generalized Least Squares (GLS) regression methodology for decomposing patterns of climate change attribution purposes proposed the “Residual Consistency Test” (RCT) to check GLS specification. Their has been widely used highly influential ever since, in part because subsequent authors have relied upon their claim that model satisfies con...

kernel density estimators are the basic tools for density estimation in non-parametric statistics.  the k-nearest neighbor kernel estimators represent a special form of kernel density estimators, in  which  the  bandwidth  is varied depending on the location of the sample points. in this paper‎, we  initially introduce the k-nearest neighbor kernel density estimator in the random left-truncatio...

Cyril Hardy Nelson Sutherland nació en la ciudad de La Ceiba, el departamento Atlántida, Honduras, cual se encuentra ubicado costa del mar Caribe, un 30 julio 1938. Su madre, señora Eugenia Sutherland, fue una maestra inglés y piano, mientras su padre, Sr. Astor Nelson, empleado United Fruit Company Tibombo, aldea Lima, Cortés. Sus hijos: Karen Roy Rosa Belinda Julio Alfredo Nelson. última espo...

This thesis aims to introduce and analyse a primal-dual active set strategy for solving Allen-Cahn variational inequalities. We consider the standard Allen-Cahn equation with non-local constraints and a vector-valued Allen-Cahn equation with and without non-local constraints. Existence and uniqueness results are derived in a formulation involving Lagrange multipliers for local and non-local con...