# The objective of this course is intended to introduce theoretical statistics for undergraduate students majoring in statistics. The emphases will be on

 Название The objective of this course is intended to introduce theoretical statistics for undergraduate students majoring in statistics. The emphases will be on Дата 08.10.2012 Размер 6.73 Kb. Тип Документы

 科 目：1389數理統計　(96學年上學期之授課大綱) 教 師：王榮琮

 科目名稱: 數理統計 13891. Course Description:The objective of this course is intended to introduce theoretical statistics for undergraduate students majoring in statistics. The emphases will be on understanding basic statistical concepts and deriving reasonable statistical procedures for a variety of situations. Topics include probability theory, common families of distributions, properties of a random sample (especially on convergence concepts), principles of data reduction (sufficiency, likelihood), point estimation (finding and evaluating estimators), hypothesis testing (finding and evaluating tests), interval estimation, and Bayesian statistics.2. Course Outline: Chapter 1: Probability and Distributions1.1 Introduction1.2 Set Theory1.3 The probability Set Function1.4 Conditional Probability and Independence1.5 Random Variables1.6 Discrete Random Variables (Transformations)1.7 Continuous Random Variables (Transformations)1.8 Expectation of a Random Variable1.9 Some Special Expectations1.10 Important InequalitiesChapter 2: Multivariate Distributions2.1 Distributions of Two Random Variables2.2 Transformations of Bivariate Random Variables2.3 Conditional Distributions and Expectations2.4 The Correlaion Coefficient2.5 Independent Random Variables2.6 Extension to Several Random Variables2.7 Transformations of Random VectorsChapter 3: Some Special Distributions3.1 The Binomial and Related Distributions3.2 The Poisson Distribution3.3 The gamma, chi-square, and beta Distributions3.4 Te Normal Distribution3.5 The Multivariate Normal Distribution3.6 t and F-Distributions3.7 Mixture DistributionsChapter 4: Unbiasedness, Consistency, and Limiting Distributions4.1 Expectations of Functions4.2 Convergence in Probbaility4.3 Convergence in Distribution4.4 Central Limit Theorem4.5 Asymptotics for Multivariate DistributionsChapter 5: Some Elementary Statistical Inferences5.1 Sampling and Statistics5.2 Order Statistics5.3 Tolerance Limits for Distributions5.4 More on Confidence Intervals5.5 Introduction to Hypthesis Testing5.6 Additional Comments About Statistical Tests5.7 Chi-Square Tests5.8 The Method of Monte Carlo5.9 Bootstrap Procedures3.1 Textbook: 1. Robert V. Hogg, Joseph W. McKean, Allen T. Craig (2005) Introduction to Mathematical Statistics (6/E), Pearson Prentice Hall.3.2 Reference Books:1. Lee J. Bain, Max Engelhardt (1992) Introduction to Probability and Mathematical Statistics (2/E), Duxbury Press.2. George G. Roussas (1997) A Course in Mathematical Statistics (2/E), Addison-Wesley3. R.V. Hogg, E.A. Tanis (2005) Probability and Statistical Inference (7/E), Prentice Hall. 4. R.J. Laesen, M.L. Marx (2006) An Introduction to Mathematical Statistics and Its Applications (4/E), Pearson Education International.4. Assessment: Mid-term exam (35%), Final exam (40%), Quiz (25%)

## Похожие: Objectives of the Course: The objective of the course is to introduce students into the major topics and analytical tools in international relations Statistics E102 Department of Statistics Statistics 130A Randomness & Statistics Explaining psychological statistics, 3d ed Department of Mathematics & Statistics Education research and statistics New course: Statistics for sensory and consumer science Reading List for Statistics 112
Разместите кнопку на своём сайте:
Библиотека

База данных защищена авторским правом ©lib.znate.ru 2014
обратиться к администрации
Библиотека