# Statistics (Ph.D.)

The Ph.D. in statistics is a flexible program of coursework and research that meshes the faculty's expertise with the students' interests. Current faculty expertise are in Design of Experiments, Nonparametric Function Estimation, Model Selection, Time Series Analysis, Spatial Statistics, Bayesian Statistics, Data Mining and Large Data. Doctoral dissertations range from theoretical to applied. Interdisciplinary research is encouraged.  Ph.D. students frequently work as research assistants in interdisciplinary studies, and also engage in statistical consulting.

Applicants must have completed significant undergraduate coursework in mathematics and Statistics, including basic Statistics (for example, design of experiments), the standard Calculus sequence, and Linear Algebra.

## Applying

Students are advanced to candidacy after meeting the following requirements:

Required Courses
MATH 839Applied Regression Analysis3
MATH 840Design of Experiments I3
MATH 855Probability with Applications3
MATH 856Principles of Statistical Inference3
MATH 941Bayesian and Computational Statistics3
MATH 945Advanced Theory of Statistics I3
MATH 946Advanced Theory of Statistics II3
Select three courses from the following:9
Statistical Methods for Quality Improvement and Design
Data Mining and Predictive Analytics
Survival Analysis
Time Series Analysis
Design of Experiments II
Spatial Statistics
Research Topics in Statistics 1
Minor Coursework
Select one of the following analysis courses:3
One-Dimensional Real Analysis
Analysis I
Select two courses in a focused minor area, selected in consultation with the program advisor.6
Total Credits42
1

MATH 979 Research Topics in Statistics is a topics course and may be repeated barring duplication of topic.

Successful completion of written qualifying examinations in theory of statistics and in applied statistics.

Successful completion of a comprehensive exam in advanced theory of statistics and an elective comprehensive exam.

Participation in the one-credit statistics seminar during at least three semesters.

Successful completion of a dissertation proposal defense in the major field of statistics.

## Dissertation

Doctor of Philosophy in Statistics: A dissertation that includes original research in statistics.

• Demonstrate deep knowledge of the theoretical foundations of statistics at the advanced level.
• Conduct research that contributes to the development of statistical theory and methods.
• Demonstrate competency in a broad array of advanced statistical methodologies, including skill in statistical computing for analysis and simulation.
• Demonstrate familiarity with at least one scientific area of investigation that crucially depends on statistical methodology.