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STA 690: Seminar in Statistics
1.00 Credits
University of Kentucky
May be repeated to a maximum of three credits.
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STA 690 - Seminar in Statistics
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STA 692: Statistical Consulting
3.00 Credits
University of Kentucky
Basic principles of statistical consulting including how to manage a consulting session, how to formulate and solve problems and how to express results both orally and in writing. Students will be expected to analyze data from a current consulting project. Lecture, two hours; laboratory, two hours per week. Coreq: STA 643 or 644 or consent of instructor.
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STA 692 - Statistical Consulting
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STA 695: Special Topics in Statistical Theory
1.00 - 3.00 Credits
University of Kentucky
To be selected by staff. May be repeated to a maximum of nine credits. Prereq: STA 601.
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STA 695 - Special Topics in Statistical Theory
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STA 700: Foundations of Probability And Inference
3.00 Credits
University of Kentucky
Measures on the real line and probability spaces, Lebesque measure, properties of distribution functions and random variables, integrals and expectations. Prereq: MA 471G.
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STA 700 - Foundations of Probability And Inference
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STA 701: Advanced Statistical Inference I
3.00 Credits
University of Kentucky
Basic concepts of decision theory, sufficiency and completeness; completeness of multiparametric exponential family; unbiasedness and invariance of decision rules; Bayes, minimax and invariant estimators; testing of hypotheses and optimality properties. Prereq: STA 700 and STA 601.
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STA 701 - Advanced Statistical Inference I
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STA 702: Advanced Statistical Inference II
3.00 Credits
University of Kentucky
UMP and UMP unbiased tests for multiparametric exponential families; locally best tests; invariance and permutation tests, UMP invariant tests for linear hypotheses; asymptotic aspects of classical statistics, ML estimation and concepts of efficiency; sequential probability ratio test; confidence set, UMA unbiased and invariance confidence sets. Prereq: STA 701.
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STA 702 - Advanced Statistical Inference II
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STA 703: Advanced Probability
3.00 Credits
University of Kentucky
Probability spaces, extension theorem, random variables; independence, conditional probability, conditional expectation; laws of large numbers, law of the iterated logarithm; convergence in distribution; characteristic functions; central limit theorems; martingales. Prereq: STA 700 and STA 532.
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STA 703 - Advanced Probability
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STA 704: Advanced Probability- Stochastic Processes
3.00 Credits
University of Kentucky
Random functions; jump Markov processes; processes with independent increments; stationary stochastic processes; diffusion processes; limit theorems; applications of stochastic processes. Prereq: STA 703.
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STA 704 - Advanced Probability- Stochastic Processes
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STA 705: Advanced Computational Inference
3.00 Credits
University of Kentucky
Numerical maximization and integration, resampling methods, EM algorithm, Markov Chain Monte Carlo methods. Prereq: STA 601, 624.
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STA 705 - Advanced Computational Inference
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STA 707: Advanced Data Analysis
3.00 Credits
University of Kentucky
Theory and data analysis involving likelihood functions, mixed models, missing responses. Prereq: STA 643.
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STA 707 - Advanced Data Analysis
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