UC Davis General Catalog, 2006-2008 - General Catalog - UC Davis

Statistics
(College of Letters and Science)
Rudolph Beran, Ph.D., Chairperson of the Department
Department Office. 4118 Mathematical Sciences
Building
(530) 752-2361; http://www-stat.ucdavis.edu
Faculty
Rudolph Beran, Ph.D., Professor
Prabir Burman, Ph.D., Professor
Nello Cristianini, Ph.D., Associate Professor
Christiana Drake, Ph.D., Associate Professor
Peter Hall, Ph.D., Professor
Fushing Hsieh, Ph.D., Professor
Jiming Jiang, Ph.D., Associate Professor
Yue-Pok (Ed) Mack, Ph.D., Professor
Hans-Georg Müller , Ph.D., Professor
Debashis Paul, Ph.D., Assistant Professor
Jie Peng, Ph.D., Assistant Professor
Katherine Pollard, Ph.D., Assistant Professor
Wolfgang Polonik, Ph.D., Associate Professor
George G. Roussas, Ph.D., Professor
Francisco J. Samaniego, Ph.D., Professor,
Academic Senate Distinguished Teaching Award
Rituparna Sen, Ph.D., Assistant Professor
Robert H. Shumway, Ph.D., Professor
Duncan Temple Lang, Ph.D., Associate Professor
Jessica M. Utts, Ph.D., Professor,
Academic Senate Distinguished Teaching Award
Jane-Ling Wang, Ph.D., Professor
Emeriti Faculty
P.K. Bhattacharya, Ph.D., Professor Emeritus
Alan P. Fenech, Ph.D., Professor Emeritus
Alvin D. Wiggins, Ph.D., Professor Emeritus
Affiliated Faculty
Rahman Azari, Ph.D., Lecturer
The Major Program
Statistics enables us to make inferences about entire
populations, based on samples extracted from those
populations. Statistical methods can be applied to
problems from almost every discipline and they are
vitally important to researchers in agricultural, biological,
environmental, social, engineering, and
medical sciences.
The Program. Statistics majors may receive either
a Bachelor of Arts or a Bachelor of Science degree.
The A.B. degree is very flexible, facilitating a double
major or extensive elective course work in a field in
which statistics is applied. The B.S. degree program
has two options: one emphasizes mathematics and
is especially recommended as preparation for graduate
study in statistics; the other emphasizes computer
science. All three programs require theoretical
and applied course work and underscore the strong
interdependence of statistical theory and the applications
of statistics.
Career Alternatives. Probability models and statistical
methods are used in a great many fields,
including the biological and social sciences, business
and engineering. The wide applicability of statistics
has created in both the public and private
sectors a strong demand for graduates with statistical
training. Current employment opportunities
include state and federal government positions with
a statistician designation, industrial positions (e.g.,
in the actuarial series within an insurance company,
in the data management unit in a health science
facility, or in the research units in pharmaceutical
and biotechnology industries), and teaching positions.
A.B. Major Requirements:
UNITS
Preparatory Subject Matter................... 25
Mathematics 21A, 21B, 21C ................ 12
Mathematics 22A, 22B........................... 6
Computer Science Engineering 30 or
Computer Science Engineering 40 (or the
equivalent) ............................................ 4
Statistics 32........................................... 3
Depth Subject Matter .......................41-44
Statistics 106, 108 or the equivalent ........ 8
Statistics 131A, 131B, 131C ................ 12
Three courses from Statistics 104, 135,
137, 138, 141, 142, 144, 145 ........... 12
Related elective courses ......................9-12
Three upper division courses approved by
major adviser; they should be in
mathematics, computer science or in
quantitative aspects of a substantive
discipline.
Total Units for the Major ..................66-69
B.S. Major Requirements:
UNITS
Preparatory Subject Matter..............25-29
Mathematics 21A, 21B, 21C ................ 12
Mathematics 22A, 22B .......................... 6
Computer science:
General option: Computer Science
Engineering 30 or Computer Science
Engineering 40 (or the equivalent) ........ 4
Computer Science option: Computer
Science Engineering 30 and 40 ........... 8
Statistics 32........................................... 3
Depth Subject Matter
Complete one of the two options below.
Statistics—General option ................51-52
Statistics 106, 108 or the equivalent ........ 8
Statistics 131A, 131B, 131C or the
equivalent ........................................... 12
Four courses selected from Statistics 104,
135, 137, 138, 141, 142, 144, 145 ... 16
Three courses selected from Mathematics
108, 127A, 127B, 127C, 128A, 128B,
128C, 167, 168; Mathematics 127 strongly
recommended for students considering
graduate work in Mathematics or
Statistics.............................................. 12
Related elective course .........................3-4
One upper division course approved by
major adviser; it should be in mathematics,
computer science or in quantitative aspects
of a substantive discipline.
Total Units for the Major ..................76-77
Statistics—Computer Science option....... 52
Statistics 106, 108 (or the equivalent) ...... 8
Statistics 131A, 131B, 131C ................ 12
Two courses from Statistics 104, 135, 137,
138, 141, 142, 144, 145 ..................... 8
Computer Science Engineering 110,
165A ................................................... 8
Two courses from Mathematics 128A, 128B,
132A, 132B, 167, 168 ......................... 8
Two courses from Computer Science
Engineering 122A, 124, 130, 175 ......... 8
Total Units for the Major ....................... 81
Major Adviser. C. Drake
Students are encouraged to meet with an adviser to
plan a program as early as possible. Sometime
before or during the first quarter of the junior year,
students planning to major in Statistics should consult
with a faculty adviser to plan the remainder of their
undergraduate programs.
Minor Program Requirements:
The Department offers a minor program in Statistics
that consists of a survey at the upper division level of
the fundamentals of mathematical statistics and of
the most widely used applied statistical methods.
UNITS
Statistics ............................................... 20
Statistics 106, 108, and 130A-130B or
131A-131B......................................... 16
One course from Statistics 104, 135, 137,
138, 141, 142, 144, 145 ..................... 4
Statistics 455
Preparation. Statistics 13 or 32 or 100 or
102.
Graduate Study. The Graduate Program in Statistics
offers study and research leading to the M.S.
and Ph.D. degrees in Statistics, including a Ph.D. in
Statistics with an emphasis in Biostatistics. Detailed
information concerning these degree programs, as
well as information on admissions and on financial
support, is available from the Department of Statistics.
Graduate Adviser. P. Burman
Statistical Consulting. The Department provides
a consulting service for researchers on campus. For
more information, call the Statistical Laboratory
office (530) 752-6096.
Courses in Statistics (STA)
Lower Division Courses
10. Statistical Thinking (4)
Lecture—3 hours; discussion/laboratory—1 hour.
Prerequisite: two years of high school algebra. Statistics
and probability in daily life. Examines principles
of collecting, presenting and interpreting data
in order to critically assess results reported in the
media; emphasis is on understanding polls, unemployment
rates, health studies; understanding probability,
risk and odds. GE credit: SciEng or SocSci,
Wrt.—III. (III.)
12. Introduction to Discrete Probability (4)
Lecture—3 hours; laboratory—1 hour. Prerequisite:
two years of high school algebra. Random experiments;
countable sample spaces; elementary probability
axioms; counting formulas; conditional
probability; independence; Bayes theorem; expectation;
gambling problems; binomial, hypergeometric,
Poisson, geometric, negative binomial and
multinomial models; limiting distributions; Markov
chains. Applications in the social, biological, and
engineering sciences. Offered in alternate years. GE
credit: SciEng.
13. Elementary Statistics (4)
Lecture—3 hours; discussion—1 hour. Prerequisite:
two years of high school algebra or the equivalent in
college. Descriptive statistics; basic probability concepts;
binomial, normal, Student’s t, and chi-square
distributions. Hypothesis testing and confidence
intervals for one and two means and proportions.
Regression. Not open for credit to students who have
completed course 13V or higher. GE credit: Sci-
Eng.—I, II, III. (I, II, III.)
13V. Elementary Statistics (4)
Lecture—1.5 hours; online lecture—5 hours. Prerequisite:
two years of high school algebra or the equivalent
in college. Descriptive statistics; basic
probability concepts; binomial, normal, Student’s t,
and chi-square distributions. Hypothesis testing and
confidence intervals for one and two means and proportions.
Regression. Not open for credit to students
who have completed course 13 or higher. GE credit:
SciEng.—I. (I.) Utts
32. Basic Statistical Analysis Through
Computers (3)
Lecture—3 hours. Prerequisite: Mathematics 16B or
21B; ability to program in a high-level computer language
such as Pascal. Overview of probability modeling
and statistical inference. Problem solution
through mathematical analysis and computer simulation.
Recommended as alternative to course 13 for
students with some knowledge of calculus and computer
programming. GE credit: SciEng.—II, III. (II,
III.)
90X. Seminar (1-2)
Seminar—1-2 hours. Prerequisite: high school algebra
and consent of instructor. Examination of a special
topic in a small group setting.
98. Directed Group Study (1-5)
Prerequisite: consent of instructor. (P/NP grading
only.)
99. Special Study for Undergraduates (1-5)
Prerequisite: consent of instructor. (P/NP grading
only.)
Quarter Offered: I=Fall, II=Winter, III=Spring, IV=Summer; 2007-2008 offering in parentheses
General Education (GE) credit: ArtHum=Arts and Humanities; SciEng=Science and Engineering; SocSci=Social Sciences; Div=Social-Cultural Diversity; Wrt=Writing Experience