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Course Criteria
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3.00 Credits
Prerequisites: STAT 381.Simple and compound interests, stochastic approaches to interest and annuities, stochastic models of stock, Black-Scholes arbitrage pricing of options and other derivative securities, Markowitz portfolio optimization theory, Ito financial calculus, filtrations and martingales.Letter grade only (A-F). (Lecture 3 hrs.)
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3.00 Credits
Prerequisites: Consent of instructor.Topics of current interest from statistics literature. Letter grade only (A-F). Course may be repeated to a maximum of 6 units with different topics. (Lecture 3 hrs)
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1.00 - 3.00 Credits
Prerequisites: Consent of instructor.Junior or senior standing and consent of instructor. Not open to graduate students.Letter grade only (A-F).
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3.00 Credits
Prerequisites: MATH 247 and 380, prerequisite or corequisite STAT 381. (Undergraduates enroll in STAT 410; graduates enroll in STAT 510.) Simple linear regression: estimation and inference, prediction, analysis of residuals, detection of outliers, use of transformations. Multiple linear regression: influence diagnostics, multi-collinearity, selection of variables, simultaneous estimation and inference, validation techniques. Statistical software for data analysis used. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 480 or 590.
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3.00 Credits
Prerequisites: STAT 381 or consent of instructor. Properties of a random sample, convergence in probability, law of large numbers, sampling from the normal distribution, the central limit theorem, principles of data reduction, likelihood principle, point estimation, Bayesian estimation, methods of evaluating estimators, hypothesis testing, decision theory, confidence intervals. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 580.
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3.00 Credits
Prerequisites: STAT 381 or consent of instructor. Design of experiments to permit efficient analysis of sources of variation with application to quality assurance. Factorial and fractional factorial designs; block designs; confounding. Fixed and random effect models. Effects of departure from assumptions; transformations. Response surface techniques. Taguchi methods. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 581.
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3.00 Credits
Prerequisites: STAT 381 or consent of instructor. Introduction to methods of statistical quality control. Includes control charts, acceptance sampling, process capability analysis, and aspects of experimental design. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 584.
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3.00 Credits
Prerequisites: STAT 381 or consent of instructor. Theory and practice of sampling from finite populations. Simple random sampling, stratified random sampling, systematic sampling, cluster sampling, properties of various estimators including ratio, regression, and difference estimators. Error estimation for complex samples. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 583.
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3.00 Credits
Prerequisites: STAT 381, prerequisite or corequisite STAT 410. (Undergraduates register in STAT 450; graduates enroll in STAT 550.) Discriminate analysis, principal components, factor analysis, cluster analysis, logistic regression, canonical correlation, multidimensional scaling, and some nonlinear techniques. Statistical software used. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 483 or 593.
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3.00 Credits
Prerequisites: STAT 410, or 510, or consent of instructor. Alternatives to normal-theory statistical methods, analysis of categorical and ordinal data, methods based on ranks, measures of association, goodness of fit tests, order statistics. Letter grade only (A-F). (Lecture 3 hrs.) Not open for credit to students with credit in MATH 585.
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