6,533 research outputs found
Online Updating of Statistical Inference in the Big Data Setting
We present statistical methods for big data arising from online analytical
processing, where large amounts of data arrive in streams and require fast
analysis without storage/access to the historical data. In particular, we
develop iterative estimating algorithms and statistical inferences for linear
models and estimating equations that update as new data arrive. These
algorithms are computationally efficient, minimally storage-intensive, and
allow for possible rank deficiencies in the subset design matrices due to
rare-event covariates. Within the linear model setting, the proposed
online-updating framework leads to predictive residual tests that can be used
to assess the goodness-of-fit of the hypothesized model. We also propose a new
online-updating estimator under the estimating equation setting. Theoretical
properties of the goodness-of-fit tests and proposed estimators are examined in
detail. In simulation studies and real data applications, our estimator
compares favorably with competing approaches under the estimating equation
setting.Comment: Submitted to Technometric
Compensating for Natural Resource Damage Caused by Vessel-Induced Marine Oil Pollution: Comparing the International, U.S., and Chinese Regimes
68 page
Properties of Pb predicted from the relativistic equation of state in the full Dirac space
Relativistic Brueckner-Hartree-Fock (RBHF) theory in the full Dirac space
allows one to determine uniquely the momentum dependence of scalar and vector
components of the single-particle potentials. In order to extend this new
method from nuclear matter to finite nuclei, as a first step, properties of
Pb are explored by using the microscopic equation of state for
asymmetric nuclear matter and a liquid droplet model. The neutron and proton
density distributions, the binding energies, the neutron and proton radii, and
the neutron skin thickness in Pb are calculated. In order to further
compare the charge densities predicted from the RBHF theory in the full Dirac
space with the experimental charge densities, the differential cross sections
and the electric charge form factors in the elastic electron-nucleus scattering
are obtained by using the phase-shift analysis method. The results from the
RBHF theory are in good agreement with the experimental data. In addition, the
uncertainty arising from variations of the surface term parameter in the
liquid droplet model is also discussed
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