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Medicine and Health Sciences

Florida International University

Department of Mathematics and Statistics

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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 Confidence Intervals For Estimating The Population Coefficient Of Variation: A Simulation Study, Monika Gulhar, B M Golam Kibria, Ahmed N. Albatineh, Nasar U. Ahmed Jan 2012

A Comparison Of Some Confidence Intervals For Estimating The Population Coefficient Of Variation: A Simulation Study, Monika Gulhar, B M Golam Kibria, Ahmed N. Albatineh, Nasar U. Ahmed

Department of Mathematics and Statistics

This paper considers several confidence intervals for estimating the population coefficient of variation based on parametric, nonparametric and modified methods. A simulation study has been conducted to compare the performance of the existing and newly proposed interval estimators. Many intervals were modified in our study by estimating the variance with the median instead of the mean and these modifications were also successful. Data were generated from normal, chi-square, and gamma distributions for CV = 0.1, 0.3, and 0.5. We reported coverage probability and interval length for each estimator. The results were applied to two public health data: child birth weight …