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Articles 151 - 159 of 159
Full-Text Articles in Physical Sciences and Mathematics
Construction Of Homomorphic Images, Stephanie Ann Hilber
Construction Of Homomorphic Images, Stephanie Ann Hilber
Theses Digitization Project
This thesis constructs several finite homomorphic images of infinite semi-direct products of the form 2*n:N.
The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas
The Fundamental Group And Van Kampen's Theorem, Aaron Christopher Thomas
Theses Digitization Project
This thesis deals with the field of algebraic topology. Basic topological facts are addressed including open and closed sets, continuity, homeomorphisms, and path connectedness as well as discussing Van Kampen's Theorem in detail.
Applications Of New Diffusion Models To Barrier Option Pricing And First Hitting Time In Finance, Keang Ly
Applications Of New Diffusion Models To Barrier Option Pricing And First Hitting Time In Finance, Keang Ly
Theses and Dissertations (Comprehensive)
The main focus of this thesis is in the application of a new family of analytical solvable diffusion models to arbitrage-free pricing exotic financial derivatives, such as barrier options. The family of diffusions is the so-called “Drifted Bessel family” having nonlinear (smile-like) local volatility with multiple adjustable parameters. In particular, the drifted Bessel-K diffusion is used to model asset (stock) price processes under a risk-neutral measure whereby discounted asset price are martingales.
Closed-form spectral expansions for barrier option values are derived within the Bessel-K family of models. This follow from the closed-form spectral expansions for the transition probability …
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
Theses Digitization Project
The purpose of this project is to construct finite homomorphic images of infinite semi-direct products. We will construct two finite homomorphic images, L₂ (8) and PGL₂ (9) of the infinite semi-direct product 2*³ : S₃. The main part of this project is to construct the double cover 2 - M₂₂ : 2 and the automorphism group M₂₂ : 2 of the Matheiu sporadic group M₂₂ as a homomorphic image of the progenitor 2*⁷ : L₃ (2).
Using Non-Euclidean Geometry In The Euclidean Classroom, Kelli Jean Wasserman
Using Non-Euclidean Geometry In The Euclidean Classroom, Kelli Jean Wasserman
Theses Digitization Project
This study is designed to explore the ramifications of supplementing the basic Euclidean geometry, with spherical geometry, a non-Eugledian geometry curriculum. This project examined different aspects of the impact of spherical geometry on the high school geometry classroom.
Simulation Studies On Estimation Of Variance Components For Multilevel Models, Sara Vakilian
Simulation Studies On Estimation Of Variance Components For Multilevel Models, Sara Vakilian
Theses and Dissertations (Comprehensive)
With the presence of unequal sampling in a multilevel model, the weight inflated estimators for variance components can be biased even though the use of survey weights results in design consistent estimators of the parameters. In this thesis I will carry out a simulation study to examine the performance of current existing methods and I will examine the resampling method for correcting bias of estimators of variance components of a multilevel model with covariates. This study will be based on these three papers: “Weighting for Unequal Selection Probabilities in Multilevel Models” by D. Pfeffermann , C. J. Skinner, D.J. Holmes, …
First-Passage Time Models With A Stochastic Time Change In Credit Risk, Hui Li
First-Passage Time Models With A Stochastic Time Change In Credit Risk, Hui Li
Theses and Dissertations (Comprehensive)
Many authors have used a time-changed Brownian motion as a model of log-stock returns. Using a Levy process as a stochastic time change, one obtains well known asset price models such as the variance gamma (VG) and normal inverse Gaussian (NIG) models. Following on the heels of these asset price models, it is natural to extend structural credit models by using a time-changed geometric Brownian motion and other jump-diffusion processes to model the value of a firm. To avoid the difficulties that arise in computing the associated first passage time distribution and in analogy to the time-changed Markov chain models, …
Calculation Of Equilibrants For Semipositive Matrices, Zheng Tong
Calculation Of Equilibrants For Semipositive Matrices, Zheng Tong
Dissertations, Theses, and Masters Projects
No abstract provided.
There Are Only Four, Danielle Josette Mccoy
There Are Only Four, Danielle Josette Mccoy
Theses Digitization Project
This paper is an investigation of finite-dimensional normed algebras over the reals from both an abstract and concrete point of view.