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Sep 27, 2024
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MATH 4500 - Theory of Statistics Probability distributions of one and several variables, sampling theory, estimation of parameters, confidence intervals, analysis of variance, correlation, and testing of statistical hypotheses.
Requisites: MATH 3300 and 3500 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: - Analyze and compare different point estimators.
- Compute various probabilities and expectations by various methods.
- Conduct various standard hypotheses tests, compute the power functions, find the UMP test using Neyman-Pearson Lemma, and find the likelihood-ratio test.
- Find a confidence interval for a parameter for various distributions.
- Find a point estimator of a parameter using various methods.
- Find distributions of functions of random variables.
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