Open Access. Powered by Scholars. Published by Universities.®

Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics

Florida International University

Department of Mathematics and Statistics

2014

Articles 1 - 2 of 2

Full-Text Articles in Entire DC Network

Modeling The Influence Of Environment And Intervention On Cholera In Haiti, Stephen Tennenbaum, Caroline Freitag, Svetlana Roudenko Sep 2014

Modeling The Influence Of Environment And Intervention On Cholera In Haiti, Stephen Tennenbaum, Caroline Freitag, Svetlana Roudenko

Department of Mathematics and Statistics

We propose a simple model with two infective classes in order to model the cholera epidemic in Haiti. We include the impact of environmental events (rainfall, temperature and tidal range) on the epidemic in the Artibonite and Ouest regions by introducing terms in the transmission rate that vary with environmental conditions. We fit the model on weekly data from the beginning of the epidemic until December 2013, including the vaccination programs that were recently undertaken in the Ouest and Artibonite regions. We then modified these projections excluding vaccination to assess the programs’ effectiveness. Using real-time daily rainfall, we found lag …


A Comparison Of Some Robust Bicariate Control Charts For Individual Observations, Moustafa Omar Ahmed Abu Shawiesh, Florence George, B M Golam Kibria May 2014

A Comparison Of Some Robust Bicariate Control Charts For Individual Observations, Moustafa Omar Ahmed Abu Shawiesh, Florence George, B M Golam Kibria

Department of Mathematics and Statistics

This paper proposed and considered some bivariate control charts to monitor individual observations from a statistical process control. Usual control charts which use mean and variance-covariance estimators are sensitive to outliers. We consider the following robust alternatives to the classical Hoteling’s T2: T2MedMAD, T2MCD, T2MVE A simulation study has been conducted to compare the performance of these control charts. Two real life data are analyzed to illustrate the application of these robust alternatives.