Special topics in mathematics and their applications in Statistics.
to be arranged according to the needs of students; may be repeated provided that the topics are different; topics to be indicated for record purposes
3 hours, 3 units
Probability spaces and random variables; probability distributions and distribution functions; mathematical expectation; convergence of sequences of random variables; laws of large numbers; characteristics functions.
Coreq: Stat 230/equiv. 3 hours, 3 units
Exponential family of densities; point estimation: sufficiency, completeness, unbiasedness, equivariance; hypothesis testing.
Prereq: Stat 231. 3 hours, 3 units
Subspaces and projections; multivariate normal distribution, non-central distributions, distribution of quadratic forms; the general linear model of full column rank, tests about the mean; tests about the variance; the general linear model not of full column rank; estimability and testability.
Coreq: Stat 232. 3 hours, 3 units
Distribution theory for multivariate analysis; the multivariate one-and-two sample models; the multivariate linear model.
Coreq: Stat 233. 3 hours, 3 units
Model building; diagnostic checking; remedial measures; applicationsConcepts in designing sample surveys; non-sampling errors; simple random sampling; systematic sampling; sampling with varying probabilities; stratification, use of auxiliary information; cluster sampling; multi-stage sampling.
Coreq: Stat 222/232/equiv/COI. 3 hours, 3 units
Application of Statistical concepts and methodologies to data of researchers seeking Statistical consultancy services.
(must take "The Practice of Statistics" before "Cases in Statistical Consulting")
Prereq: COI. 1 hour, 1 unit
The thesis may be on a subject involving original investigation, which in some respect modifies or enlarges what has been previously known and is recommended for approval by the major professor or adviser.
may split into two separate semesters with 3 units each
6 hours, 6 units