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Applied Statistics

2013

Selected Works

Articles 1 - 2 of 2

Full-Text Articles in Mathematics

A Study Of Non-Central Skew T Distributions And Their Applications In Data Analysis And Change Point Detection, Abeer Hasan Jul 2013

A Study Of Non-Central Skew T Distributions And Their Applications In Data Analysis And Change Point Detection, Abeer Hasan

Abeer Hasan

Over the past three decades there has been a growing interest in searching for distribution
families that are suitable to analyze skewed data with excess kurtosis. The search started
by numerous papers on the skew normal distribution. Multivariate t distributions started to
catch attention shortly after the development of the multivariate skew normal distribution.
Many researchers proposed alternative methods to generalize the univariate t distribution to
the multivariate case. Recently, skew t distribution started to become popular in research.
Skew t distributions provide more exibility and better ability to accommodate long-tailed
data than skew normal distributions.
In this dissertation, a new …

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Quantitative Interpretation Of A Genetic Model Of Carcinogenesis Using Computer Simulations, Donghai Dai, Brandon Beck, Xiaofang Wang, Cory Howk, Yi Li Apr 2013

Quantitative Interpretation Of A Genetic Model Of Carcinogenesis Using Computer Simulations, Donghai Dai, Brandon Beck, Xiaofang Wang, Cory Howk, Yi Li

Donghai Dai

The genetic model of tumorigenesis by Vogelstein et al. (V theory) and the molecular definition of cancer hallmarks by Hanahan and Weinberg (W theory) represent two of the most comprehensive and systemic understandings of cancer. Here, we develop a mathematical model that quantitatively interprets these seminal cancer theories, starting from a set of equations describing the short life cycle of an individual cell in uterine epithelium during tissue regeneration. The process of malignant transformation of an individual cell is followed and the tissue (or tumor) is described as a composite of individual cells in order to quantitatively account for intra-tumor …

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