Mathematical Statistics II

Catalog description

The course will include coverage of various statistical concepts including probability distributions for functions of random variables, sampling distributions, properties of estimators, order statistics and hypothesis testing. After completing this course, students should be able to: 1. Determine probability distributions of functions of random variables; 2. Develop probability models of real world situations and analyze the results; 3. Develop models for sampling distributions; 4. Evaluate the quality (e.g., bias, mean square error, sufficiency, consistency) of statistical estimators; 5. Determine functions for statistical estimators using the method of moments and maximum likelihood estimation; 6. Use computer technology to simulate probability distributions, sampling distributions and estimators; 7. Model and solve applied problems by synthesizing the components of the course (probability distributions, sampling distributions and statistical estimators); and 8. Apply methods for conducting statistical hypothesis testing to reach conclusions for research questions.