Course Offerings for Fall 2002
Course Offerings for Spring 2002
Course Offerings for Spring 2001
Course Offerings for Summer 2000
Course Offerings for Fall 2000

For a schedule of what semester we plan to each course in the future see course offerings.

To see a Syllabus for a course click on the course title.

208. BASIC STATISTICS (3).
A general course designed to provide students with an understanding of reasoning involved in the statistician's approach to a variety of problems. Not open for credit toward the major or minor in mathematical sciences. Not open for credit to students who have credit in an upper-division statistics course or in OMIS 223 or OMIS 324. Not used in major or minors.

301. ELEMENTARY STATISTICS (4).
An introduction to basic concepts in statistical methods including probability, theoretical and empirical distributions, estimation, tests of hypotheses, linear regression and correlation, and single classificaation analysis of variance procedures. Not available for credit toward the major in mathematical sciences. Not used in major GPA calculation for mathematical sciences majors.
PRQ: MATH 206 or MATH 210 or MATH 211 or MATH 229.

350. INTRODUCTION TO PROBABILITY AND STATISTICS (3).
An introduction to the basic ideas and fundamental laws of probability including sample spaces, events, independence, random variables, special probability distributions and elementary statistical inference.
PRQ: MATH 230.

470. INTRODUCTION TO PROBABILITY THEORY (3).
The mathematical study of probability including probability spaces, random variables, discrete, continuous, mixed probability distributions, moment generating functions, multivariate distributions, conditional probability, conditional expectation, special distributions, laws of large numbers, and central limit theorem.
PRQ: MATH 232 and MATH 240, or consent of division.

471. PROBABILITY MODELS AND APPLICATIONS (3).
An introduction to elementary stochastic processes and their applications to various phenomena in engineering, management science, the physical and social sciences, and operations research.
PRQ: STAT 470 or consent of department.

472. INTRODUCTION TO MATHEMATICAL STATISTICS (3).
An introductory study of mathematical statistics including distributions of functions of random variables, interval estimation, sufficiency, completeness, point estimation, statistical hypotheses, analysis of variance, and the multivariate normal distribution.
PRQ: STAT 470 or consent of department.

473. STATISTICAL METHODS AND MODELS I (3).
A first course in statistical methods and models including exploratory data analysis and graphical techniques, regression analysis, experimental design, and basic sampling techniques. Extensive use of statistical computer packages.
PRQ: MATH 211 and STAT 301, or STAT 350, or consent of division.
CRQ: STAT 473A.

473A. STATISTICAL COMPUTING PACKAGES (1).
Introduction to statistical computing with the aid of software packages. Data entry, transformations, simple plots, summary statistics, and statistical procedures. No previous computer experience is required.
PRQ: MATH 211 and STAT 301, or STAT 350, or consent of division.
CRQ: STAT 473 or consent of division.

474. STATISTICAL METHODS AND MODELS II (3).
Continuation of STAT 473. Topics include cluster sampling, two-level factorial experiments, confounding and fractional replications, analysis of discrete data, an introduction to time series analysis, control charts for quality, and productivity analysis.
PRQ: STAT 473 and 473A, or consent of division.

478. STATISTICAL METHODS OF FORECASTING (3).
Introduction to forecasting including use of regression in forecasting; removal and estimation of trend and seasonality; exponential smoothing; stochastic time series models; stochastic difference equations; autoregressive, moving average, and mixed models; model identification and estimation; diagnostic checking; and the use of time series models in forecasting.
PRQ: STAT 473 or consent of division.

481. PROBABILISTIC FOUNDATIONS IN ACTUARIAL SCIENCE (3).
Actuarial populations. Univariate parametric actuarial distributions including Weibull and Pareto. Multivariate actuarial distributions. Exact and asymptotic relationships among these distributions. Mixtures of distributions. Jointly discrete, continuous, and mixed distributions. Moment, cumulant, and probability generating functions. Transformations of variables for multivariate distributions. Basic theory of individual and collective risk models for aggregate loss from insurance policies.
PRQ: STAT 470 or consent of division.

565. REGRESSION ANALYSIS (3).
Simple and multiple linear regression, estimation, confidence intervals and tests, and prediction. Diagnostic methods using residuals, transformations, outliers, and influence analysis. Polynomial regression, stepwise variable selection, and collinearity.
PRQ: STAT 474 or consent of department.

566. DISCRETE MULTIVARIATE DATA ANALYSIS (3).
A first course in the analysis of discrete data including two-dimensional tables, the log linear model, goodness-of-fit of the model, measures of dependence, three and higher dimensional tables, hierarchical models, model selection, ordered categories, logit model, zero frequency problem, and introduction to Bayesian analysis of categorical data.
PRQ: STAT 472 and STAT 474, or consent of department.

567. RELIABILITY AND SURVIVAL ANALYSIS (3).
Survival function, failure rate, types of censored data, estimation for parametric models, non-parametric estimation of survival function, accelerated life tests, competing risks, and Bayesian analysis of survival data.
PRQ: STAT 472 and STAT 474, or consent of department.

568. METHODS IN BIOSTATISTICS (3).
Survival function, failure rate, types of censored data, life tables, regression models for life-time data, bioassay, direct assay, indirect assays with quantitative response, and clinical trials.
PRQ: STAT 472 and STAT 474, or consent of department.

569. METHODS FOR QUALITY CONTROL AND IMPROVEMENT (3).
Control charts for attributes and variables, special control charts, process control techniques, acceptance sampling, process capability, Taguchi's approach to improving quality of a product, and the philosophy of Deming.
PRQ: STAT 472 and STAT 474, or consent of department.

570. PROBABILITY THEORY (3).
Review of measures, measurable functions, and algebras of events. Random variables and their moments and characteristic function. Sequences of random variables and various modes of convergence. Borel-Cantelli Lemma and Kolmogorov 0-1 law. Weak and strong laws of large numbers. Convergence in distributions and central limit theorems. Conditional expectation and martingales. Browian motion and stochastic processes.
PRQ: MATH 530 and STAT 470, or consent of department.

571. STOCHASTIC PROCESSES (3).
Markov chains and processes. Brownian motion and Gaussian processes. Point processes and renewal processes. Martingales and weakly dependent stochastic processes. Convergence of stochastic processes.
PRQ: STAT 570 or consent of department.

572. THEORY OF STATISTICS (3).
Exponential class, elements of decision theory, unbiased estimation, shrinkage estimators, methods for estimating standard errors, multiparameter estimation, generalized likelihood ratio tests, sequential probability ratio test, and linear models.
PRQ: STAT 472 or consent of department.

573. LINEAR MODELS (3).
The theory of linear models with applications to the analysis of variance and regression and to the design of experiments.
PRQ: STAT 472 and STAT 474, or consent of department.

574. DESIGN AND ANALYSIS OF EXPERIMENTS (3).
An intermediate course in the design and analysis of experiments including linear models of less than full rank, distributions of quadratic forms, estimable functions; confounding, fractional replication; incomplete block, hierarchical, Latin square, cross-over, split plot, repeated measures and related designs, response surface methods, covariance analysis.
PRQ: STAT 472 and STAT 474, or consent of department.

575. MULTIVARIATE METHODS OF STATISTICS (3).
An introduction to the techniques of multivariate analysis including description of multivariate data, reducing the dimension, principal components, factor analysis, estimation and testing for the parameters in multinormal populations, and multivariate analysis of variance. Problems which involve the use of computers will be treated.
PRQ: STAT 472 or STAT 474, or consent of department.

576. DISTRIBUTION-FREE STATISTICS (3).
A survey of nonparametric statistical techniques and their logical foundations including the distributions of order statistics and ranks, tests of hypotheses, confidence intervals and Hodges-Lehmann estimators for one-sample, two-sample, and paired sample location problems, the two-sample dispersion problem, analysis of one-way and two-way layouts, tests of independence, goodness-of-fit tests, linear rank statistics, and U-statistics.
PRQ: STAT 472 or STAT 474, or consent of department.

577. SAMPLING TECHNIQUES (3).
An introduction to sample survey techniques and sampling theory including estimation of population parameters based on simple random sampling, cluster sampling, stratified sampling, and ratio sampling. Included will be a summary of recent advances in sampling theory and discussions of practical problems and sources of error in surveys.
PRQ: STAT 472 or STAT 474, or consent of department.

578. TIME SERIES ANALYSIS (3).
A course in models for analysis of time series data including mean and covariance functions of stationary time series, moving average, autoregressive and mixed models, identification and estimation in ARMA (p,q) models, asymptotic properties of estimators, periodogram and spectral analysis, and regression with time series error.
PRQ: STAT 472 and STAT 474, or consent of department.

579. ADVANCED STATISTICAL METHODS (3).
Various topics will be discussed from the perspective of modeling and analyzing data. Emphasis will be on application of statistical methodology. Data analytic techniques will be illustrated with several types of data including categorical data, multivariate data, survival data, linear and nonlinear regression data, time series data, and data from designed experiments. Modern statistical software will be used extensively.
PRQ: STAT 472 and STAT 474, or consent of department. Recommended: MATH 562.

591. STATISTICAL CONSULTING (3).
Techniques for problem formulation. Identification of parameters and solutions. Client-consultant interaction techniques. Ill-posed problems and their formulation. Management of consulting time, facilities, and personnel. Participation under supervision in actual consulting projects.
PRQ: Consent of department.

593. GRADUATE READING IN PROBABILITY AND STATISTICS (1-9).
May be repeated to a maximum of 9 semester hours.
PRQ: Consent of department.

599. MASTER'S THESIS (1-6).
May be repeated to a maximum of 6 semester hours.
PRQ: Consent of department.

675. TOPICS IN STATISTICS (3).
Content will vary from semester to semester. Offerings may include courses in linear models, estimation, hypothesis testing, decision theory, and Bayesian inference. May be repeated to a maximum of 15 semester hours.
PRQ: Consent of department.

690. SEMINAR IN STATISTICS (1-9).
Discussions on topics in advanced probability and statistics as scheduled. Topics include but are not limited to probability theory, stochastic processes, statistical inference, nonparametric statistics, multivariate analysis, linear and nonlinear models, discrete data analysis, time series. One to 9 semester hours as scheduled. may be repeated to a maximum of 24 semester hours, not more than 15 of which may be on a single topic.
PRQ: Consent of department.

Please mail your suggestions, comments or complaints to polansky@math.niu.edu
Last updated: Thursday, August 22, 2002 10:05:46 AM