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- Autoregressive Integrated Moving Average (ARIMA) (1)
- Autoregressive Integrated Moving Average (ARIMA); Earthquake prediction; Poisson processes (1)
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- Bank failures – Forecasting (1)
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Articles 1 - 8 of 8
Full-Text Articles in Mathematics
Bayesian Variable Selection Methods For Genome-Wide Association Studies With Categorical Phenotypes, Benazir Rowe
Bayesian Variable Selection Methods For Genome-Wide Association Studies With Categorical Phenotypes, Benazir Rowe
UNLV Theses, Dissertations, Professional Papers, and Capstones
Genome-wide association studies (GWAS) attempt to find the associations between genetic markers and studied traits (phenotypes). The problem of GWAS is complex and various methods have been developed to approach it. One of such methods is Bayesian variable selection (BVS). We describe the BVS methods in detail and demonstrate the ability of BVS method Posterior Inference via Model Averaging and Subset Selection (piMASS) to improve the power of detecting phenotype-associated genetic loci, potentially leading to new discoveries from existing data without increasing the sample size.
We present several ways to improve and extend the applicability of piMASS for GWAS. The …
Contributions To Mcmc Methods In Constrained Domains With Applications To Neuroimaging, Sharang Chaudhry
Contributions To Mcmc Methods In Constrained Domains With Applications To Neuroimaging, Sharang Chaudhry
UNLV Theses, Dissertations, Professional Papers, and Capstones
Markov chain Monte Carlo (MCMC) methods form a rich class of computational techniques that help its user ascertain samples from target distributions when direct sampling is not possible or when their closed forms are intractable. Over the years, MCMC methods have been used in innumerable situations due to their flexibility and generalizability, even in situations involving nonlinear and/or highly parametrized models. In this dissertation, two major works relating to MCMC methods are presented.
The first involves the development of a method to identify the number and directions of nerve fibers using diffusion-weighted MRI measurements. For this, the biological problem is …
Bi-Directional Testing For Change Point Detection In Poisson Processes, Moinak Bhaduri
Bi-Directional Testing For Change Point Detection In Poisson Processes, Moinak Bhaduri
UNLV Theses, Dissertations, Professional Papers, and Capstones
Point processes often serve as a natural language to chronicle an event's temporal evolution, and significant changes in the flow, synonymous with non-stationarity, are usually triggered by assignable and frequently preventable causes, often heralding devastating ramifications. Examples include amplified restlessness of a volcano, increased frequencies of airplane crashes, hurricanes, mining mishaps, among others. Guessing these time points of changes, therefore, merits utmost care. Switching the way time traditionally propagates, we posit a new genre of bidirectional tests which, despite a frugal construct, prove to be exceedingly efficient in culling out non-stationarity under a wide spectrum of environments. A journey surveying …
Golden Arm: A Probabilistic Study Of Dice Control In Craps, Donald R. Smith, Robert Scott Iii
Golden Arm: A Probabilistic Study Of Dice Control In Craps, Donald R. Smith, Robert Scott Iii
UNLV Gaming Research & Review Journal
This paper calculates how much control a craps shooter must possess on dice outcomes to eliminate the house advantage. A golden arm is someone who has dice control (or a rhythm roller or dice influencer). There are various strategies for dice control in craps. We discuss several possibilities of dice control that would result in several different mathematical models of control. We do not assert whether dice control is possible or not (there is a lack of published evidence). However, after studying casino-legal methods described by dice-control advocates, we can see only one realistic mathematical model that describes the resulting …
Analysis Of Bank Failure And Size Of Assets, Guancun Zhong
Analysis Of Bank Failure And Size Of Assets, Guancun Zhong
UNLV Theses, Dissertations, Professional Papers, and Capstones
The financial health of the banking industry is an important prerequisite for economic stability and growth. Bank failures in the United States have run in cycles largely associated with the collapse of economic bubbles. The number of bank failures has increased dramatically over the last thirty years (Halling and Hayden, 2007). In this thesis, we try to address the following two questions: 1) What is the relationship, if any, between a bank's asset size and its likelihood of failures? 2) How can we use statistical tools to predict the numbers of bank failures in the future? Various modeling techniques are …
Statistical Inference Of A Measure For Two Binomial Variates, Serena Petersen
Statistical Inference Of A Measure For Two Binomial Variates, Serena Petersen
UNLV Theses, Dissertations, Professional Papers, and Capstones
We study measures of a comparison for two independent binomial variates which frequently occur in real situations. An estimator for measure of reduction (MOR) is considered for two sample proportions based on a modified maximum likelihood estimation. We study the desirable properties of the estimator: the asymptotic behavior of its unbiasedness and the variance of the estimator. Since the measure ρ is approximately normally distributed when sample sizes are sufficiently large, one may establish approximate confidence intervals for the true value of the estimators. For numerical study, the Monte Carlo experiment is carried out for the various scenarios of two …
Modeling Mortality Rates For Leukemia Between Men And Women In The United States, Blessed Quansah
Modeling Mortality Rates For Leukemia Between Men And Women In The United States, Blessed Quansah
UNLV Theses, Dissertations, Professional Papers, and Capstones
Leukemia related deaths increased dramatically over the last forty years. Leukemia is a malignant disease or cancer of the bone marrow and blood. It is characterized by the uncontrolled accumulation of blood cells. Leukemia is divided into two categories: myelogenous or lymphocytic, each of which can be acute or chronic. The terms, myelogenous or lymphocytic denote the cell type involved.
In this thesis, the proposed modeling techniques are applied to leukemia deaths data from the Surveillance Epidemiology and End Results (SEER). In particular, annual deaths data from 1969 to 2007 are used in the data analysis, which includes three major …
Arima Model For Forecasting Poisson Data: Application To Long-Term Earthquake Predictions, Wangdong Fu
Arima Model For Forecasting Poisson Data: Application To Long-Term Earthquake Predictions, Wangdong Fu
UNLV Theses, Dissertations, Professional Papers, and Capstones
Earthquakes that occurred worldwide during the period of 1896 to 2009 with magnitude greater than or equal to 8.0 on the Richter scale are assumed to follow a Poisson process. Autoregressive Integrated Moving Average models are presented to fit the empirical recurrence rates, and to predict future large earthquakes. We show valuable modeling and computational techniques for the point processes and time series data. Specifically, for the proposed methodology, we address the following areas: data management and graphic presentation, model fitting and selection, model validation, model and data sensitivity analysis, and forecasting.