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Full likelihood inferences in the Cox model:an empirical likelihood approach
Right censored data Empirical likelihood Maximum likelihood estimator Partial likelihood Profile likelihood
2015/12/11
For the regression parameter β0 in the Cox model, there have been several estimators constructed based on various types of approximated likelihood, but none of them has demonstrated small-sample advan...
Estimation and goodness-of-fit for the Cox model with various types of censored data
Bivariate right censored data Bivariate data under univariate right censoring Bootstrap Doubly censored data Empirical likelihood Goodness-of-fit Partly interval-censored data
2015/12/11
The currently existing estimation methods and goodness-of-fit tests for the Cox model mainly deal with right censored data, but they do not have direct extension to other complicated types of censored...
Spatial autoregression model:strong consistency
Spatial autoregression Unit roots Two-parameter martingale
2015/12/11
Let ( ˆ n; ˆn) denote the Gauss–Newton estimator of the parameter (; ) in the autoregression model Zij = Zi−1; j + Zi; j−1 − Zi−1; j−1 + ij. It is sho...
A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
Information Theory Based Estimator of the Number of Sources in a Sparse Linear Mixing Model
Information Theory Estimator of the Number of Sources Sparse Linear Mixing Model
2015/9/29
In this paper we present an Information Theoretic Estimator for the number of sources mutuallydisjoint in a linear mixing model. The approach follows the Minimum Description Length prescription and is...
Classical statistical theory ignores model selection in assessing estimation accuracy. Here we consider
bootstrap methods for computing standard errors and con dence intervals that take model selecti...
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES
Growth model games algebra Lagrange inversion feature classes
2015/7/14
A GROWTH MODEL,A GAME,AN ALGEBRA,LAGRANGE INVERSION,AND CHARACTERISTIC CLASSES.
A-optimal designs for generalized linear model with two parameters
A-optimal designs generalized linear model two parameters
2015/3/20
A-optimal designs for generalized linear model with two parameters.
Discrete Kernel Preserving Model for 1D Electron-Optical Phonon Scattering
D Electron-Optical Phonon Scattering Discrete Kernel Preserving Model
2014/9/26
We investigate the discretization of of an electron-optical phonon scattering using
a nite volume method. The discretization is conservative in mass and is essentially
based on an energy point of v...
Low-dimensional model of turbulent Rayleigh-Benard convection in a Cartesian cell with square domain
Low-dimensional model Cartesian cell square domain turbulent Rayleigh-Benard convection
2011/7/7
A low-dimensional model (LDM) for turbulent Rayleigh-Benard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empiric...
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
Quantized Nambu-Poisson Manifolds 3-Lie Algebra Reduced Model
2011/3/2
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
4-dimensional Spin-foam Model with Quantum Lorentz Group
Quantum Group Loop Quantum Gravity Spin-foam Model
2011/3/3
We study the quantum group deformation of the Lorentzian EPRL spin-foam model. The construction
uses the harmonic analysis on the quantum Lorentz group. We show that the quantum group spin-foam model...
Exact solution of $D_N$ type quantum Calogero model through a mapping to free harmonic oscillators
Exact solution of $D_N$ type quantum Calogero model mapping to free harmonic oscillators
2010/12/28
We solve the eigenvalue problem of the DN type of Calogero model by mapping it to a set of decoupled quantum harmonic oscillators through a similarity transformation.In particular, we construct the ei...
An interacting particles model and a Pieri-type formula for the orthogonal group
interacting particles model Pieri-type formula orthogonal group
2011/1/17
We introduce a new interacting particles model with blocking and pushing interactions. Particles evolve on the positive line jumping on their own volition rightwards or leftwards according to geometri...
Hypoelliptic Estimates for a Linear Model of the Boltzmann Equation without Angular Cutoff
Kinetic equations Boltzmann equation without angular cutoff Regularity
2011/2/25
In this paper, we establish optimal hypoelliptic estimates for a class of kinetic equations, which are linear models for the spatially inhomogeneous Boltzmann equation without angular cutoff.