Students in the statistical science program learn to develop and use statistical methods to provide a probabilistic assessment of the variability in different data structures. This knowledge is applied to the quantification of the uncertainties inherent in the discoveries, summaries and conclusions that are drawn from the data analysis. The Ph.D. program provides mastery of fundamental concepts in statistical theory and methods, as well as analytical and computational skills to build modern statistical models, implement them, and effectively communicate their results. Through the process of learning these skills, the students develop the ability to conduct independent research.

Students will obtain a Ph.D. in statistical science. More specifically, students will develop background on statistical theory, methods, and computing through the program coursework, with research emphasis on novel methods and applications.

Undergraduate preparation for admission

We will accept students with undergraduate degrees in fields that include computer science, engineering, mathematics, natural sciences, physics, and statistics, subject to appropriate course requirements in statistics and mathematics. Undergraduate preparation in mathematics and statistics should include:

✔ Single variable and multivariate differential and integral calculus (UC Santa Cruz equivalent AM 11A, AM 11B or MATH 19A, MATH 19B, and MATH 23A, MATH 23B);

✔ Linear algebra (UCSC equivalent AM 10 or MATH 21); introductory statistics (UCSC equivalent STAT 5 or STAT 7);

✔ Introductory calculus-based probability and statistical inference (UCSC equivalent STAT 131 and STAT 132); and

✔ Experience with basic computing using a high-level programming language such as R or Python (UCSC equivalent CSE 20).

Relationship of M.S. and Ph.D. programs

The M.S. and Ph.D. programs are freestanding and independent, so that students can be admitted to either. Students completing the M.S. program may proceed into the Ph.D. program upon successful completion of the pre-qualifying examination, and application to the graduate committee and acceptance. Students in the Ph.D. program have the option of receiving the M.S. degree upon completion of the M.S. program requirements, including the capstone research project. Ph.D. core course STAT 205B can be used in place of STAT 205 to fulfill the M.S. degree course requirements.