TAXATION /169


STA 6226-Sampling Theory and Application (3) Prereq: STA
6327 or consent of instructor. Theory and application of com-
monly used sampling techniques; simple random sample, cluster,
ratio, regression, stratified, multistage, and systematic samples.
Special topics includewildlife surveys, non-sampling error adjust-
ment, categorical data analysis, and practical survey examples.
STA 6246-Theory of Linear Models (3) Prereq:STA 6208, 6329.
Theory for analysis of linear models in univariate data; distribu-
tions of quadratic forms; full rank linear models; fixed effect
models of lessthan full rank; balanced random and mixed models;
unbalanced random and mixed models.
STA 6247-Advanced Topics in Design and Analysis (3) Prereq:
STA 6246, 6207-6209. First and second order response surface
designs and models. The objectives of a response surface investi-
gation. The determination of optimum conditions for response
surface models. The integrated mean square error criterion for the
choice of a design. Minimum bias estimation designs. The analysis
of multiresponse experiments. Designs for nonlinear models.
Some advanced topics in unbalanced mixed models.
STA 6267-Sequential Methods (3) Prereq: STA 6327. Double
sampling procedures, the sequential probability ratio tests, se-
quential tests for composite hypotheses, sequential estimation
and confidence intervals.
STA 6326-Introduction to Theoretical Statistics I (3) Prereq:
MAC 3313. Theory of probability. Probability spaces, continuous
and discrete distributions, functions of random variables, multi-
variate distributions, expectation, conditional expectation, cen-
tral limit theorem, useful convergence results, sampling distribu-
tions, distributions of order statistics, empirical distribution func-
tion.
STA 6327-Introduction to Theoretical Statistics 11 (3) Prereq:
STA 6326. Estimation and hypothesis testing. Sufficiency, infor-
mation, estimation, maximum likelihood, confidence intervals,
uniformly most powerful tests, likelihood ratio tests, sequential
testing, univariate normal inference, decision theory, analysis of
categorical data.
STA 6329-Statistical Applications of Matrix Algebra (2) Prereq:
MAC3313, STA 6208. Basic theory of determinants, inverses and
generalized inverses, eigenvalues and eigenvectors; applications
of partitioned matrices; diagonalization and decomposition theo-
rems; applications in least squares.
STA 6466-Probability Theory 1 (4) Prereq:MAA 5228 orequiva-
lent. Measure and probability spaces; random variables; distribu-
tion functions; abstract Lebesgue and Stieltjes integration; mono-
tone; dominated, Cauchy, and mean convergence; Fubini and
Radon-Nikodym theorems; zero-one laws.
STA 6467-Probability Theory II (4) Prereq: STA 6466. Summa-
bility of independent random variables, laws of large numbers,
convergence in distribution, characteristic functions, uniqueness
and continuity theorems, the Lindeberg-Feller central limit theo-
rem, degenerate convergence criterion.
STA 6505-Analysis of Categorical Data (3) Prereq: STA 6327
and 6207 or consent of instructor. Varieties of categorical data,
cross-classification tables, tests for independence. Measures of
association. Loglinear models for multi-dimensional tables. Logit
 models and analogies with regression. Specialized methods for
 ordinal data.
 STA 6526-Nonparametric Statistics (3) Prereq: STA 6327 or
 consentof instructor. Inference based on rank statistics- one, two
 and k-sample problems, correlation and regression problems and
 analysis of contingency tables. Conditionally distribution-free
 rank tests. Pitman asymptotic relative efficiency.
 STA 6576-Theory of Nonparametric Statistics (3) Prereq: STA
 6526 orconsentof instructor. Theoretical foundations of nonpara-
 metric statistics: theory of U-statistics, Noether's theorem and
 Pitman asymptotic relative efficiency, estimation and hypothesis
 testing with one and two sample (scale) models, theory of linear
 rank statistics, applications to general linear models analyses.
 STA 6662-Statistical Methods for Industrial Practice (3) Prereq:
 statistical theory ofdistributions, basic analysis of variance; coreq:
 theory of statistical estimation and testing. Statistical techniques
 used in modern industry, including variance components analy-
 sis, control charting, estimation of process characteristics, evolu-
 tionary operation, fraction, factorials, screening experiments.
 STA 6706-Applied Multivariate Methods for Behavioral Re-


search (3) Prereq: STA 6166 or consent of instructor. Bivariate
relationship: matrix algebra; review of multiple regression and
correlation; part and partial correlation; canonical correlation;
discriminant analysis and classification; cluster analysis; factor
analysis.
STA 6707-Analysis of Multivariate Data (3) Prereq: STA 6808
and facility in a computer language. Techniques for analyzing
multivariate data. Emphasis on MANOVA and tests on the struc-
ture of the dispersion matrix. Topics will include discriminant,
factor, profile, and cluster analyses.
STA 6746-Multivariate Analysis (4) Prereq: STA 6246 or con-
sent of instructor. Singular transformations and the generalized
Jacobian. The multivariate normal distribution, Wishart distribu-
tion, and the U distribution. Distribution of the latent roots of one
Wishart matrix in the metric of another. Noncentral counterparts
of these distributions-an introduction to zonal polynomials.
Distributions of variables constrained to lie on a sphere or a
simplex. The resultant and its usage in analysis of directional data.
STA 6826-Stochastic Processes I (3) Prereq: STA 6377. Discrete
time and state Markov process. Ergodic theory.
STA 6827-Stochastic Processes II (4) Prereq: STA 6826. Con-
tinuoustime Markov processes. The Poisson and allied processes.
The Kolmogorov equations. Renewal theory.
STA 6857-Applied Time Series Analysis (3) Prereq: STA 4322
anda basic computerlanguage. Lineartime series model building,
spectral density estimation, analysis of nonstationary data, SAS
package on Box and Jenkins model building and forecasting. Case
studies in recent literature will be discussed.
STA 6876-Theory of Time Series (3) Prereq:STA 6327. Founda-
tions of stationary time series, distributions of sample autocorre-
lations, partial autocorrelation, spectral density, time series re-
gression, and special topics in recent time series research.
STA 6900-Problems in Statistics (1-4; max: 6) Prereq: permis-
sion of department. Special problems in research methods, sam-
pling methods, and experimental designs.
STA 6905-Individual Work (1-4; max: 10) Prereq:permission of
department. Special topics designed to meet the needs and
interests of individual students.
STA 6910-Supervised Research (1-5; max: 5) S/U.
STA 6934-Special Topics in Statistics (1-3; max: 8) Prereq:
permission of graduate adviser.
STA 6937-Seminar: Current Topics in Statistics (1-3; max: 6)
Prereq: permission of department. Discussion of current research
topics in statistics not covered in regular courses. S/U.
STA 6938-Seminar (1; max: 15) Prereq: permission of depart-
ment. Special topics of an advanced nature suitable for seminar
treatment but not given in regular courses. S/U.
STA 6940-Supervised Teaching (1-5; max: 5) S/U.
STA 6971-Research for Master's Thesis (1-15) S/U.
STA 7346-Statistical Inference I (4) Prereq: STA 6327. Decision
rules and risk functions. Sufficiency, Minimax, and Bayes rules for
estimation of location and scale parameters.
STA 7347-Statistical Inference II (4) Prereq: STA 7346. Baye-
sian statistical inference. Inference using large samples. Relative
efficiencies of tests and estimates with special reference to Pitman
 and Bahadur efficiencies.
 STA 7979-Advanced Research (1-9) Research for doctoral stu-
 dents before admission to candidacy. Designed for students with
 a master's degree in the field of study or for students who have
 been accepted for a doctoral program. Not open to students who
 have been admitted to candidacy. S/U.
 STA 7980-Research for Doctoral Dissertation (1-15) S/U.




 TAXATION
 College of Law

 GRADUATE FACULTY 1992-93
 Director & Graduate Coordinator: M. K. Friel. Distin-
 guished Service Professor: J. Freeland. Professors: K. G.
 Anderson; D. A. Calfee; B. A. Currier; M. K. Friel; D. M.