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Courses - Spring 2018
STAT
Statistics and Probability Department Site
STAT100
Elementary Statistics and Probability
Credits: 3
Grad Meth: Reg, P-F, Aud
CORE: MS
GenEd: FSAR, FSMA
Prerequisite: MATH110, MATH112, MATH113, or MATH115; or permission of CMNS-Mathematics department; or must have math eligibility of STAT100 or higher and math eligibility is based on the Math Placement Exam or the successful completion of Math 003 with appropriate eligibility.
Restriction: Must not have completed MATH111; or must not have completed any MATH or STAT course with a prerequisite of MATH141.
Credit only granted for: STAT100, MATH107 or MATH111.
Simplest tests of statistical hypotheses; applications to before-and-after and matched pair studies. Events, probability, combinations, independence. Binomial probabilities, confidence limits. Random variables, expected values, median, variance. Tests based on ranks. Law of large numbers, normal approximation. Estimates of mean and variance.
STAT386
(Perm Req)
Experiential Learning
Credits: 3 - 6
Grad Meth: Reg, P-F
Prerequisite: Must have learning proposal approved by the CMNS-Mathematics Department.
STAT400
Applied Probability and Statistics I
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: Minimum grade of C- in MATH131; or MATH141; or students who have taken courses with comparable content may contact the department.
Credit only granted for: BMGT231, ENEE324, or STAT400.
Additional information: Not acceptable toward graduate degrees in MATH/STAT/AMSC.
Random variables, standard distributions, moments, law of large numbers and central limit theorem. Sampling methods, estimation of parameters, testing of hypotheses.
STAT401
Applied Probability and Statistics II
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (STAT400, STAT410).
Additional information: Not acceptable toward graduate degrees in MATH/STAT/AMSC.
Point estimation - unbiased and consistent estimators. Interval estimation. Minimum variance and maximum likelihood estimators. Testing of hypotheses. Regression, correlation and analysis of variance. Sampling distributions. Elements of non-parametric methods.
STAT410
Introduction to Probability Theory
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241).
Also offered as: SURV410.
Credit only granted for: STAT410 or SURV410.
Probability and its properties. Random variables and distribution functions in one and several dimensions. Moments. Characteristic functions. Limit theorems.
STAT420
Introduction to Statistics
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (SURV410, STAT410).
Also offered as: SURV420.
Credit only granted for: STAT420 or SURV420.
Point estimation, sufficiency, completeness, Cramer-Rao inequality, maximum likelihood. Confidence intervals for parameters of normal distribution. Hypothesis testing, most powerful tests, likelihood ratio tests. Chi-square tests, analysis of variance, regression, correlation. Nonparametric methods.
Offered Spring only.
STAT430
Introduction to Statistical Computing with SAS
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (STAT400, STAT410).
Descriptive and inferential statistics. SAS software: numerical and graphical data summaries; merging, sorting and splitting data sets. Least squares, regression, graphics and informal diagnostics, interpreting results. Categorical data, lifetime data, time series. Applications to engineering, life science, business and social science.
STAT440
Sampling Theory
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (STAT401, STAT420).
Credit only granted for: STAT440 or SURV440.
Simple random sampling. Sampling for proportions. Estimation of sample size. Sampling with varying probabilities. Sampling: stratified, systematic, cluster, double, sequential, incomplete.
STAT464
Introduction to Biostatistics
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: Must have completed one semester of calculus.
Restriction: Junior standing or higher.
Credit only granted for: BIOE372 or STAT464.
Additional information: Not acceptable toward degrees in MATH/STAT.
Probabilistic models. Sampling. Some applications of probability in genetics. Experimental designs. Estimation of effects of treatments. Comparative experiments. Fisher-Irwin test. Wilcoxon tests for paired comparisons.
STAT470
Actuarial Mathematics
Credits: 3
Grad Meth: Reg, P-F, Aud
Prerequisite: 1 course with a minimum grade of C- from (MATH240, MATH461, MATH341); and 1 course with a minimum grade of C- from (MATH340, MATH241).
Recommended: STAT400.
Major mathematical ideas involved in calculation of life insurance premiums, including compound interest and present valuation of future income streams; probability distribution and expected values derived from life tables; the interpolation of probability distributions from values estimated at one-year multiples; the 'Law of Large Numbers' describing the regular probabilistic behavior of large populations of independent individuals; and the detailed calculation of expected present values arising in insurance problems.
STAT498A
(Perm Req)
Selected Topics in Statistics
Credits: 1 - 6
Grad Meth: Reg, P-F, Aud
Contact department for information to register for this course.
STAT601
Probability Theory II
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: STAT600.
Weak convergence of measures; characteristic functions; Central Limit Theorem and local limit theorem; stable laws; Kolmogorov consistency theorem (without proof); conditional expectations and martingales; optimal stopping theorem; convergence of martingales; Brownian motion; Markov processes and families; stochastic integral and Ito formula.
Offered Spring only.
STAT650
Applied Stochastic Processes
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: STAT410; or students who have taken courses with comparable content may contact the department.
Basic concepts of stochastic processes. Markov processes (discrete and continuous parameters), Random walks, Poisson processes, Birth and death processes. Renewal processes and basic limit theorems. Discrete time martingales, stopping times, optional sampling theorem. Applications from theories of stochastic epidemics, survival analysis and others.
STAT689
(Perm Req)
Research Interactions in Statistics
Credits: 1 - 3
Grad Meth: Reg, Aud
Contact department for information to register for this course.
STAT701
Mathematical Statistics II
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: STAT700; or students who have taken courses with comparable content may contact the department.
Testing hypotheses: parametric methods. Neyman-Pearson lemma. Uniformly most powerful tests. Unbiased tests. Locally optimal tests. Large sample theory, asymptotically best procedures. Nonparametric methods, Wilcoxon, Fisher-Yates, median tests. Linear models, analysis of variance, regression and correlation. Sequential analysis.
Offered Spring only.
STAT702
Survival Analysis
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: STAT410 and STAT420; or students who have taken courses with comparable content may contact the department; or permission of instructor.
Concepts/definitions of survival functions, hazard rate or hazard function, cumulative hazard functions, mean residual life, inversion formulas; Parametric models: exponential distribution, Weibull distribution; Censored/incomplete data and real data examples; right censored data, doubly censored data, interval censored data, truncated data; Nonparametric maximal likelihood estimator for the lifetime distribution under different types of censoring (e.g., Kaplan-Meier estimator), self-consistency estimators, the EM algorithm, applications of the empirical likelihood; Semiparametric models: accelerated lifetime model, proportional hazard model, the Cox model; Goodness of fit tests and diagnostic methods for model checking.
STAT741
Linear Statistical Models II
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: STAT740.
Continuation of STAT 740. Multiway layouts, incomplete designs, Latin squares, complete and fractional factorial designs, crossed and nested models. Balanced random effects models, mixed models, repeated measures.General mixed model, computational algorithms, ML and REML estimates. Generalized linear models, logistic and loglinear regression.
Offered Spring only.
STAT799
Master's Thesis Research
Credits: 1 - 6
Grad Meth: Reg, S-F
Contact department for information to register for this course.
STAT808A
Selected Topics in Probability
Credits: 1 - 3
Grad Meth: Reg, Aud
Contact department for information to register for this course.
STAT818A
Selected Topics in Statistics
Credits: 1 - 3
Grad Meth: Reg, Aud
Contact department for information to register for this course.
STAT898
Pre-Candidacy Research
Credits: 1 - 8
Grad Meth: Reg, S-F
Contact department for information to register for this course.
STAT899
(Perm Req)
Doctoral Dissertation Research
Credits: 6
Grad Meth: Reg, S-F
Contact department for information to register for this course.