Physical Sciences and Mathematics Commons^™

Parameter Estimation For Patient Enrollment In Clinical Trials, Junyan Liu

Undergraduate Honors Theses

In this paper, we study the Poisson-gamma model for recruitment time in clinical trials. We proved several properties of this model that match our intuitions from a reliability perspective, did simulations on this model, and used different optimization methods to estimate the parameters. Although the behaviors of the optimization methods were unfavorable and unstable, we identified certain conditions and provided potential explanations for this phenomenon and further insights into the Poisson-gamma model.

Statistical Modeling: Regression, Survival Analysis, And Time Series Analysis, Lawrence Leemis

Open Education Resources (OER)

Statistical Modeling provides an introduction to regression, survival analysis, and time series analysis for students who have completed calculus-based courses in probability and mathematical statistics. The book uses the R language to fit statistical models, conduct Monte Carlo simulation experiments and generate graphics. Over 300 exercises at the end of the chapters makes this an appropriate text for a class in statistical modeling.

Part 1: Regression
Chapter 1: Simple Linear Regression
Chapter 2: Inference in Simple Linear Regression
Chapter 3: Topics in Regression

Part II: Survival Analysis
Chapter 4: Probability Models in Survival Analysis
Chapter 5: Statistical Methods in Survival …