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Physical Sciences and Mathematics Commons™
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- Keyword
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- Autoregressive Integrated Moving Average (ARIMA); Earthquake prediction; Poisson processes (1)
- Change-point problems; Italy – Mount Etna; Poisson processes; Stochastic processes; Volcanoes (1)
- Collection; Coupon; Dirichlet; Integrals (1)
- Colon (Anatomy) — Cancer; Colorectal Cancer; Cox Proportional Hazard; CRC; Minorities; Proportional hazards models; Racial and Ethnic Disparities; Survival Analysis (1)
- Dirichlet; Monte Carlo method; Probabilities (1)
Articles 1 - 4 of 4
Full-Text Articles in Physical Sciences and Mathematics
Poisson Process Monitoring, Test And Comparison, Qing Chen
Poisson Process Monitoring, Test And Comparison, Qing Chen
UNLV Theses, Dissertations, Professional Papers, and Capstones
The task of determining whether a sudden change occurred in the generative parameters of a time series generates application in many areas. In this thesis, we aim at monitoring the change-point of a Poisson process by method, which is characterized by a forward-backward testing algorithm and several overall error control mechanisms. With the application of this proposed method, we declare that Mount Etna is not a simple Poissonian volcano, because two different regimes divided by the change point, January 30th 1974, are identified. The validation procedures, used in a complementary fashion, by the formal hypothesis tests and graphical method will …
The Determinants Of Colorectal Cancer Survival Disparities In Nevada, Lucas N. Wassira
The Determinants Of Colorectal Cancer Survival Disparities In Nevada, Lucas N. Wassira
UNLV Theses, Dissertations, Professional Papers, and Capstones
Different population groups across Nevada and throughout the United States suffer disproportionately from colorectal cancer and its after-effects. Overcoming cancer health disparities is important for lessening the burden of cancer. There has been an overall decline in the incidence of and mortality from colorectal cancer (CRC). This is likely due, in part, to the increasing use of screening procedures such as Fecal Occult Blood Test (FOBT) and/or endoscopy, which can reduce the risk of CRC mortality by fifty percent. Nevertheless, screening procedures are routinely used by only fifty percent of Americans aged fifty years and older. Despite overall mortality decreasing …
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.
General Coupon Collecting Models And Multinomial Games, James Y. Lee
General Coupon Collecting Models And Multinomial Games, James Y. Lee
UNLV Theses, Dissertations, Professional Papers, and Capstones
The coupon collection problem is one of the most studied problems in statistics. It is the problem of collecting r (r<∞) distinct coupons one by one from k different kinds (k<∞) of coupons. We note that this is equivalent to the classical occupancy problem which involves the random allocation of r distinct balls into k distinct cells. Although the problem was first introduced centuries ago, it is still actively investigated today. Perhaps its greatest feature is its versatility, numerous approaches, and countless variations. For this reason, we are particularly interested in creating a classification system for the many generalizations of the coupon collection problem. In this thesis, we will introduce models that will be able to categorize these generalizations. In addition, we calculate the waiting time for the models under consideration. Our approach is to use the Dirichlet Type II integral. We compare our calculations to the ones obtained through Monte Carlo simulation. Our results will show that our models and the method used to find the waiting times are ideal for solving problems of this type.