Winter 07/Spring 08 Course Descriptions

All courses below are approved to be taught in Winter 2007 and Spring 2008; however, some (or all) may not be offered in either term.  The courses that are offered in Spring link to the Schedule of Classes.  Classes with alternative delivery modes (Web based, cable TV, correspondence, etc) are noted in the Schedule at the section level.  The complete list below is a good indicator of what may be offered over the next few years (contact department about offerings).  For explanations of course elements see the Key to Course Descriptions.

Statistics (STAT)  Department Info

STAT 563 -- Probability Theory  (3 units)
Description:  Random variables, expectation and integration, Borel-Cantelli lemmas, independence, sums of independent random variables, strong law of large numbers, convergence in distribution, central limit theorem, infinitely divsible distributions
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 523B or MATH 527B or consent instructor.
Identical to:  MATH 563; MATH is home department.
Usually offered:  Fall.

STAT 564 -- Theory of Probability  (3 units)
Description:  Probability spaces, random variables, weak law of large numbers, central limit theorem, various discrete and continuous probability distributions. Graduate-level requirements include more extensive problem sets or advanced projects.
Grading:  Regular grades are awarded for this course: A B C D E.
Identical to:  MATH 564; MATH is home department.
Usually offered:  Fall.

STAT 566 -- Theory of Statistics  (3 units)
Description:  Sampling theory. Point estimation. Limiting distributions. Testing Hypotheses. Confidence intervals. Large sample methods. Graduate-level requirements include more extensive problem sets or advanced projects.
Grading:  Regular grades are awarded for this course: A B C D E.
Identical to:  MATH 566; MATH is home department.
Usually offered:  Spring.

STAT 567A -- Theoretical Statistics  (3 units)
Description:  contact department.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 466.
Identical to:  MATH 567A; MATH is home department.
Usually offered:  Spring.

STAT 567B -- Theoretical Statistics  (3 units)
Description:  [Taught Fall semester in even-numbered years] Basic decision theory. Bayes' rules for estimation. Admissibility and completeness. The minimax theorem. Sufficiency. Exponential families of distributions. Complete sufficient statistics. Invariant decision problems. Location and scale parameters. Theory of nonparametric statistics. Hypothesis testing. Neyman-Pearson lemma. UMP and UMPU tests. Two-sided tests. Two-sample tests. Confidence sets. Multiple decision problems.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 567A.
Identical to:  MATH 567B; MATH is home department.
Usually offered:  Fall.

STAT 571A -- Advanced Statistical Regression Analysis  (3 units)
Description:  Regression analysis including simple linear regression and multiple linear regression. Matrix formulation and analysis of variance for regression models. Residual analysis, transformations, regression diagnostics, multicollinearity, variable selection techniques, and response surfaces. Students will be expected to utilize standard statistical software packages for computational purposes.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 410 or MATH 413, or equivalent; and MATH 461 or MATH 466, or equivalent. Graduate standing.
Identical to:  MATH 571A; MATH is home department.
Usually offered:  Fall.

STAT 574C -- Categorical Data Analysis  (3 units)
Description:  Analysis of contingency tables. Generalized Linear Models including logistic regression and log-linear models. Matched-pair models. Repeated categorical responses. Students will be expected to utilize standard statistical software packages for computational purposes.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 571A or equivalent.
Usually offered:  Spring.

STAT 574E -- Environmental Statistics  (3 units)
Description:  Statistical methods for environmental and ecological sciences, including nonlinear regression, generalized linear models, temporal analyses, spatial analyses/kriging, quantitative risk assessment.
Grading:  Regular grades are awarded for this course: A B C D E.
Prerequisite(s):  MATH 571B, or PSYC 507C, or equivalent.
Identical to:  CPH 574E, MATH 574E.
Usually offered:  Fall, Spring.

STAT 599 -- Independent Study  (1-6 units)
Description:  Qualified students working on an individual basis with professors who have agreed to supervise such work. Graduate students doing independent work which cannot be classified as actual research will register for credit under course number 599.
Grading:  Alternative grades are awarded for this course: S P C D E.
Prerequisite(s):  Student must submit Independent Study Proposal Form to GIDP Office.
May be repeated:  for a total of 6 units of credit.
Usually offered:  Fall, Spring, Summer.

STAT 900 -- Research  (1-3 units)
Description:  Individual research, not related to thesis or dissertation preparation, by graduate students.
Grading:  Alternative grades are awarded for this course: S P C D E K.
May be repeated:  for a total of 6 units of credit.
Usually offered:  Fall, Spring, Summer.

STAT 910 -- Thesis  (1-6 units)
Description:  Research for the master's thesis (whether library research, laboratory or field observation or research, or thesis writing). Maximum total credit permitted varies with the major department or program.
Grading:  Alternative grades are awarded for this course: S P E K.
May be repeated:  for a total of 6 units of credit.
Usually offered:  Fall, Spring, Summer.

STAT 920 -- Dissertation  (1-9 units)
Description:  Research for the doctoral dissertation (whether library research, laboratory or field observation or research, or dissertation writing).
Grading:  Alternative grades are awarded for this course: S P E K.
May be repeated:  for a total of 36 units of credit.
Usually offered:  Fall, Spring, Summer.