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MTH 519: Statistical Infer
3.00 Credits
University of Dayton
Sample spaces, Borel fields, random variables, distribution theory, characteristic functions, exponential families, minimax and Bayes' procedures, sufficiency, efficiency, Rao-Blackwell theorem, Neyman-Pearson lemma, uniformly most powerful tests, multi-v
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MTH 519 - Statistical Infer
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MTH 520: Statistical Infer
3.00 Credits
University of Dayton
Sample spaces, Borel fields, random variables, distribution theory, characteristic functions, exponential families, minimax and Bayes' procedures, sufficiency, efficiency, Rao-Blackwell theorem, Neyman-Pearson lemma, uniformly most powerful tests, multi-v
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MTH 520 - Statistical Infer
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MTH 521: Real Variables
3.00 Credits
University of Dayton
The topology of the real line, continuity and differentiability, Riemann and Stieltjes integrals, Lebesgue measure and Lebesgue integral. Measure and integration over abstract spaces, Lp-spaces, signed measures, Jordan-Hahn decomposition, Radon-Nikodym th
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MTH 521 - Real Variables
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MTH 522: Real Variables
3.00 Credits
University of Dayton
The topology of the real line, continuity and differentiability, Riemann and Stieltjes integrals, Lebesgue measure and Lebesgue integral. Measure and integration over abstract spaces, Lp-spaces, signed measures, Jordan-Hahn decomposition, Radon-Nikodym th
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MTH 522 - Real Variables
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MTH 525: Complex Variables I
3.00 Credits
University of Dayton
Analytic functions, integration on paths, the general Cauchy theorem. Singularities, residues, inverse functions and other applications of the Cauchy theory.
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MTH 525 - Complex Variables I
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MTH 526: Complex Variables II
3.00 Credits
University of Dayton
Infinite products, entire functions, the Riemann mapping theorem and other topics as time permits.
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MTH 526 - Complex Variables II
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MTH 527: Biostatistics
3.00 Credits
University of Dayton
Course description is currently unavailable.
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MTH 527 - Biostatistics
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MTH 528: Stochastics Processe
3.00 Credits
University of Dayton
Course description is currently unavailable.
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MTH 528 - Stochastics Processe
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MTH 531: Adv Diffrntl Equatns
3.00 Credits
University of Dayton
Existence and uniqueness theorems, linear equations and systems, self-adjoin systems, boundary value problems and basic nonlinear techniques.
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MTH 531 - Adv Diffrntl Equatns
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MTH 532: Difference Equations
3.00 Credits
University of Dayton
The calculus of finite differences, first order equations, linear equations and systems, z-transform, stability, boundary value problems for nonlinear equations, Green's function, control theory and applications.
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MTH 532 - Difference Equations
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