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#### Testing The Equality Of Regression Coefficients And A Pooling Methodology From Multiple Samples When The Data Is Multicollinear

(Mathematics, 2009-09-16)

Testing the equality of regression coefficients between two regression equations is a common practice in statistics today. The theory and methods are sufficiently developed under ordinary least squares (OLS) estimation. ...

#### Analysis And Simulation In Neuron And Fibrosis Models

(Mathematics, 2009-09-16)

In this work, we use analysis and numerical simulations to study the change of collective behaviorof two synaptically coupled square bursting systems, the effect of noise inan elliptic bursting system and foreign body ...

#### The Uniqueness Of Minimal Acyclic Complexes

(Mathematics, 2009-09-16)

In this paper, we discuss conditions for uniqueness among minimal acyclic complexes of finitely generated free modules over a commutative local ring which share a common syzygy module. Although such uniqueness occurs over ...

#### A Study On The B Family Of Shallow Water Wave Equations

(Mathematics, 2009-09-16)

In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and ...

#### Logistic Regression With Misclassified Covariates Using Auxiliary Data

(Mathematics, 2009-09-16)

When standard regression methods are used, measurement errors cause a bias in parameters estimation. In dealing with discrete covariates, such measurement errors are known as misclassification and the corresponding discrete ...

#### A Globally Convergent Numerical Method For Coefficient Inverse Problems

(Mathematics, 2009-09-16)

In our terminology "globally convergent numerical method" means a numerical method, whose convergence to a good approximation for the correct solution is independent of the initial approximation. A new numerical imaging ...

#### Large Deviation Principle For Functional Limit Theorems

(Mathematics, 2009-09-16)

We study a family of stochastic additive functionals of Markov processes with locally independent increments switched by jump Markov processes in an asymptotic split phase space. Based on an averaging limit theorem, we ...

#### A New Method For Non-rigid Registration Of 3d Images

(Mathematics, 2009-09-16)

In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ...

#### High-order Numerical Schemes For High-speed Flows

(Mathematics, 2009-09-16)

A numerical scheme with high order of accuracy is necessary to resolve small length scales in flow transition and turbulence processes. However, numerical simulation for shock-boundary layer interaction, shock-acoustic ...

#### Multiple Linear Regression Model Of Visceral Leishmaniasis In Bihar, India

(Mathematics, 2009-09-16)

Visceral Leishmaniasis (VL) is one of the world's worst parasitic killers, second only to Malaria, claiming nearly 500,000 lives each year. The disease attacks the spleen, liver, and bone marrow, and if left untreated is ...