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Full-Text Articles in Physical Sciences and Mathematics

Adaptive Smoothing Parameter In Kernel Density Estimation And Parameter Estimation In Normal Mixture Distributions, Sabiha Mahzabeen Jan 2019

Adaptive Smoothing Parameter In Kernel Density Estimation And Parameter Estimation In Normal Mixture Distributions, Sabiha Mahzabeen

All Graduate Theses, Dissertations, and Other Capstone Projects

Kernel density estimation is a widely used tool in nonparametric density estimation procedures. Choice of a kernel function and a smoothing parameter are two important issues in implementing kernel density estimation procedures. In this paper, four different kernel functions are considered in implementing an adaptive selection procedure in choosing the smoothing parameter. In simulation, a skewed bimodal density which is a mixture of two normal distributions is considered along with the standard normal and the standard exponential densities. In skewed bimodal data, parameter estimation is also explored in the context of the parameter estimation in mixtures of normal distributions. Maximum …


A Statistical Analysis And Machine Learning Of Genomic Data, Jongyun Jung Jan 2019

A Statistical Analysis And Machine Learning Of Genomic Data, Jongyun Jung

All Graduate Theses, Dissertations, and Other Capstone Projects

Machine learning enables a computer to learn a relationship between two assumingly related types of information. One type of information could thus be used to predict any lack of informaion in the other using the learned relationship. During the last decades, it has become cheaper to collect biological information, which has resulted in increasingly large amounts of data. Biological information such as DNA is currently analyzed by a variety of tools. Although machine learning has already been used in various projects, a flexible tool for analyzing generic biological challenges has not yet been made. The recent advancements in the DNA …