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SLOPE – Adaptive Variable Selection via Convex Optimization
Sparse regression variable selection false discovery rate lasso sorted `1 penalized estimation (SLOPE)
2015/6/17
We introduce a new estimator for the vector of coefficients β in the linear model y = Xβ +z, where X has dimensions n × p with p possibly larger than n. SLOPE, short for Sorted L-One Penalized Estimat...
Blow-up time for a semilinear parabolic equation with variable reaction
Semilinear parabolic equation blow-up numerical blow-up time
2011/4/6
In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that...
Adomian decomposition method (ADM) for nonlinear wave-like equations with variable coefficient
Adomian decomposition wave-like equation variable coefficient
2010/9/27
The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. This method is easy to program an...
Bayes and empirical-Bayes multiplicity adjustment in the variable-selection problem
Bayes and empirical-Bayes multiplicity adjustment variable-selection problem
2010/11/15
This paper studies the multiplicity-correction effect of standard Bayesian variable-selection priors in linear regression. Our first goal is to clarify when, and how, multiplicity correction happens a...
On uniform statistical convergence of random variable sequences
Random variable sequence uniform convergence
2010/9/13
In this study, we introduce a notion of uniform statistical convergence of random variable sequences. We show that a continuous function conserves the limit of statistical convergence of real-number s...
A new solvable algebra of partial differential operators with variable coefficients on H \times R^*_+
Differential Operators with Variable Coefficients Group G4
2010/9/17
A new solvable algebra of partial differential operators with variable coefficients on H \times R^*_+.
On a general solution of a certain linear differential equation with variable coefficients
Linear differential equations General solution
2010/9/14
On a general solution of a certain linear differential equation with variable coefficients.
Tanh-travelling wave solutions and reduction of variable-coefficient unstable nonlinear Schrodinger equation to a quadrature in electron beam plasma
variable -coefficient unstable nonlinear Schrö dinger (vcUNLS) equation travelling wave solutions, RQ method
2010/9/14
The unstable system of plasma equations where an electron beam is injected under a high-frequency electric field is reduced to the variable -coefficient unstable nonlinear Schrödinger (vcUNLS) eq...
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable
Hamilton-Jacobi equation Conservation law Viscosity solution Entropy solution Front tracking method
2008/7/3
A Direct Proof of the Equivalence Between the Entropy Solutions of Conservation Laws and Viscosity Solutions of Hamilton-Jacobi Equations In One-Space Variable.
Moment Inequalities of a Random Variable Defined over a Finite Interval
Random variable Finite interval Central moments Hö lder's inequality Grüss inequality
2008/6/30
Some estimations and inequalities are given for the higher order central moments of a random variable taking values on a finite interval. An application is considered for estimating the moments of a t...
Some inequalities for the dispersion of a random variable whose PDF is defined on a finite interval
Random variable Expectation Variance Dispersion Grüss Inequality Chebychev's Inequality Lupas Inequality
2008/6/26
Some inequalities for the dispersion of a random variable whose pdf is defined on a finite interval and applications are given.
Some inequalities for the expectation and variance of a random variable whose PDF is $n$-time differentiable
Random Variable Expectation Variance Dispersion
2008/6/26
Some inequalities for the expectation and variance of a random variable whose p.d.f. is n-time differentiable are given.
The Equal Variable Method.
Variable viscosity effects on hydromagnetic boundary layer flow along a continuously moving vertical plate in the presence of radiation
MHD variable viscosity
2010/9/15
This work presents a study of the flow and heat transfer of an incompressible viscous electrically conducting fluid over a continuously moving vertical infinite plate with uniform suction and heat flu...
An alternative exact solution method for the reduced wave equation with a variable coefficient
Helmholtz equation Differential equation
2010/9/16
In this paper we present the exact solution of reduced wave equation with a variable coefficient Δu(x) + k2n(x)u(x) = 0 for n(x) = n(r) ,r = |x| by the solution of a classic Riccati differential equat...