5,513 research outputs found
Effect of mean on variance function estimation in nonparametric regression
Variance function estimation in nonparametric regression is considered and
the minimax rate of convergence is derived. We are particularly interested in
the effect of the unknown mean on the estimation of the variance function. Our
results indicate that, contrary to the common practice, it is not desirable to
base the estimator of the variance function on the residuals from an optimal
estimator of the mean when the mean function is not smooth. Instead it is more
desirable to use estimators of the mean with minimal bias. On the other hand,
when the mean function is very smooth, our numerical results show that the
residual-based method performs better, but not substantial better than the
first-order-difference-based estimator. In addition our asymptotic results also
correct the optimal rate claimed in Hall and Carroll [J. Roy. Statist. Soc.
Ser. B 51 (1989) 3--14].Comment: Published in at http://dx.doi.org/10.1214/009053607000000901 the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
High-energy behavior of the nuclear symmetry potential in asymmetric nuclear matter
Using the relativistic impulse approximation with empirical NN scattering
amplitude and the nuclear scalar and vector densities from the relativistic
mean-field theory, we evaluate the Dirac optical potential for neutrons and
protons in asymmetric nuclear matter. From the resulting Schr\"{o}%
dinger-equivalent potential, the high energy behavior of the nuclear symmetry
potential is studied. We find that the symmetry potential at fixed baryon
density is essentially constant once the nucleon kinetic energy is greater than
about 500 MeV. Moreover, for such high energy nucleon, the symmetry potential
is slightly negative below a baryon density of about fm
and then increases almost linearly to positive values at high densities. Our
results thus provide an important constraint on the energy and density
dependence of nuclear symmetry potential in asymmetric nuclear matter.Comment: 6 pages, 5 figures, revised version, to appear in PR
Partonic effects on higher-order anisotropic flows in relativistic heavy-ion collisions
Higher-order anisotropic flows and in heavy ion collisions at
the Relativistic Heavy Ion Collider are studied in a multiphase transport model
that has previously been used successfully for describing the elliptic flow
in these collisions. We find that the same parton scattering cross
section of about 10 \textrm{mb} used in explaining the measured can also
reproduce the recent data on and from Au + Au collisions at
\textrm{AGeV}. It is further found that the is a more
sensitive probe of the initial partonic dynamics in these collisions than
. Moreover, higher-order parton anisotropic flows are nonnegligible and
satisfy the scaling relation , which
leads naturally to the observed similar scaling relation among hadron
anisotropic flows when the coalescence model is used to describe hadron
production from the partonic matter.Comment: 5 pages, 3 figures, version to appear in PRC as a Rapid Communicatio
Determination of the stiffness of the nuclear symmetry energy from isospin diffusion
With an isospin- and momentum-dependent transport model, we find that the
degree of isospin diffusion in heavy ion collisions at intermediate energies is
affected by both the stiffness of the nuclear symmetry energy and the momentum
dependence of the nucleon potential. Using a momentum dependence derived from
the Gogny effective interaction, recent experimental data from NSCL/MSU on
isospin diffusion are shown to be consistent with a nuclear symmetry energy
given by at
subnormal densities. This leads to a significantly constrained value of about
-550 MeV for the isospin-dependent part of the isobaric incompressibility of
isospin asymmetric nuclear matter.Comment: 4 pages, 4 figures, 1 table, revised version, to appear in PR
- …