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Asymptotics for penalized additive B-spline regression
This paper is concerned with asymptotic theory for penalized spline estimator
in bivariate additive model. The focus of this paper is put upon the penalized
spline estimator obtained by the backfitting algorithm. The convergence of the
algorithm as well as the uniqueness of its solution are shown. The asymptotic
bias and variance of penalized spline estimator are derived by an efficient use
of the asymptotic results for the penalized spline estimator in marginal
univariate model. Asymptotic normality of estimator is also developed, by which
an approximate confidence interval can be obtained. Some numerical experiments
confirming theoretical results are provided.Comment: 24 pages, 6 figure
Synthesis and photoemission study of as-grown superconducting MgB2 thin films
As-grown superconducting thin films of MgB2 were prepared by molecular beam
epitaxy (MBE), and studied by X-ray and ultraviolet photoelectron spectroscopy
(XPS and UPS). Only films prepared at temperatures between 150 and 320 deg.
showed superconductivity. A best TC onset of 36 K with a sharp transition width
of -1 K was obtained although the film crystallinity was poor. The in-situ
photoelectron spectra obtained on the surfaces of the MBE grown MgB2 films were
free from dirt peaks. XPS revealed that the binding energy of the Mg 2p levels
in MgB2 is close to that of metallic Mg, and the binding energy of B 1s is
close to that of transition-metal diborides. The valence UP spectra showed a
clear Fermi edge although the density of states (DOS) at EF is low and the
major components of the valence band are located between 5 and 11 eV.Comment: ISS 2001 proceedin
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