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Non-asymptotic Oracle Inequalities for the Lasso and Group Lasso in high dimensional logistic model
Logistic model Lasso Group Lasso High-dimensional
2012/6/19
We consider the problem of estimating a function $f_{0}$ in logistic regression model. We propose to estimate this function $f_{0}$ by a sparse approximation build as a linear combinaison of elements ...
Weights and degrees in a random graph model based on 3-interactions
Martingale random graph preferential attachment scale-free property
2012/6/19
In a random graph model based on 3-interactions we give the joint asymptotic distribution of weights and degrees and prove scale-free property for the model. Moreover, we determine the asymptotics of ...
Theory for the Rotational Deconvolution model of Turbulence with Fractional regularization
Theory the Rotational Deconvolution model Turbulence Fractional regularization Analysis of PDEs
2012/4/16
We introduce a new regularization of the rotational Navier-Stokes equations that we call the Rotational Approximate Deconvolution Model (RADM). We generalize the deconvolution type model, studied by B...
Normality of the three-state toric homogeneous Markov chain model
Markov bases toric homogeneous Markov chains polyhedrons semigroups
2012/4/16
Markov chain models had proved to be useful tools in many fields, such as physic, chemistry, information sciences, economics, finances, mathematical biology, social sciences, and statistics for analyz...
A host-parasite model for a two-type cell population
Cell division branching within branching branching process in random environment host-parasite model
2012/4/18
A host-parasite model is considered for a population of cells that can be of two types, A or B, and exhibits unilateral reproduction: while a B-cell always splits into two cells of the same type, the ...
A viscoplasticity model with an enhanced control of the yield surface distortion
viscoplasticity yield function kinematic hardening distortional hardening rheology
2012/4/17
A new model of metal viscoplasticity, which takes combined isotropic, kinematic, and distortional hardening into account, is presented. The basic modeling assumptions are illustrated using a new two-d...
A Parameter Estimation Model of G-CSF: Mathematical Model of Cyclical Neutropenia
FFT Modeling Cyclical Neutropenia Neutrophil G-CSF
2013/1/30
We investigate the FFT (Fast Fourier Transform) model and G-CSF (granulocytecolony-stimulating factor) treatment of CN (Cyclical Neutropenia). We collect grey collies and normal dog!ˉs data from CN an...
The Wartime Bridge Reliability Evaluation Model Based on Birth-and-Death Process
Wartime Bridge Reliability Evaluation Birth-And-Death Process
2013/1/30
At first, the concept of bridge reliability is given, followed with its mathematic model. Then, based on the analysis about the mechanism of the damage and repair of bridges, and the state diversion o...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Improved Partial Least Square and Multi-group Structural Equation Model Using Distributed Computing
Structural Equation Model Partial least square Iterative initial value Multi-group Distributed Computing
2011/11/12
Structural equation model has become a very popular data-analytic technique. It is widely applied in Psychology and Sociology as well as other fields, especially in Customer Satisfaction Index (CSI) m...
Estimation of Variance and Its Properties in Measurement Error Model
Measurement error model independence unbiased estimator non-negative estimator.
2011/11/11
This paper introduces variance estimators of Y in measurement error model X=Y+E with known Var(E). An unbiased estimator and an adjust non-negative estimator of Var(Y) are given. Meanwhile, some prope...
Confounding of three binary-variables counterfactual model
Causal effect Independence hypothesis Counterfactual model Confounding bias Irrelevant Ancillary information
2011/11/9
Confounding of three binary-variables counterfactual model is discussed in this paper. According to the effect between the control variable and the covariate variable, we investigate three counterfact...
Generalized modified least squares in the univariate linear model
Ordinary least squares Modified least squares Generalized modified least squares Univariate linear model
2011/11/9
In this short paper, we mainly aim to appeal to readers to pay close attention to the criterion of modified least squares and develop it to generalized modified least squares. The closed-form of the g...
On the Gerber-Shiu discounted penalty function for the ordinary renewal risk model with constant interest
Surplus immediately prior to ruin Deficit at ruin
2011/11/7
In this paper, we study the Gerber-Shiu discounted penalty function for the ordinary renewal risk model modified by the constant interest on the surplus. The time of ruin is analyzed in terms of it$\&...
Ruin theory with a Markov chain interest model
Probability Markov chain Ruin function Interest
2011/11/5
In this paper we consider a discrete time risk process with a Markov chain interest model. We derive recursive equations satisfied respectively by the joint distribution of surplus immediately before ...