4,003 research outputs found
The consistency of estimator under fixed design regression model with NQD errors
In this article, basing on NQD samples, we investigate the fixed design
nonparametric regression model, where the errors are pairwise NQD random
errors, with fixed design points, and an unknown function. Nonparametric
weighted estimator will be introduced and its consistency is studied. As
special case, the consistency result for weighted kernel estimators of the
model is obtained. This extends the earlier work on independent random and
dependent random errors to NQD case
Reevaluation of the density dependence of nucleon radius and mass in the global color symmetry model of QCD
With the global color symmetry model (GCM) at finite chemical potential, the
density dependence of the bag constant, the total energy and the radius of a
nucleon in nuclear matter is investigated. A relation between the nuclear
matter density and the chemical potential with the action of QCD being taken
into account is obtained. A maximal nuclear matter density for the existence of
the bag with three quarks confined within is given. The calculated results
indicate that, before the maximal density is reached, the bag constant and the
total energy of a nucleon decrease, and the radius of a nucleon increases
slowly, with the increasing of the nuclear matter density. As the maximal
nuclear matter density is reached, the mass of the nucleon vanishes and the
radius becomes infinite suddenly. It manifests that a phase transition from
nucleons to quarks takes place.Comment: 18 pages, 3 figure
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