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T .FATEN MaSc 376 Teacher \ faten alamri course \ MaSc 367 Office \2,923 EXT #/ 36241 Office hours \ Sunday , Tuesday and Thursday from 8 to 9 Email\ [email protected] Book\ Prasanna Sahoo. PROBABILITY and MATHEMATICAL Statistics, Department of Mathematics, University of Louisville. Topics to be coverd Revision on: Sample space (discrete and continuous), events, Probability function, Axioms of probability, Conditional probabilities , Independent events Random variables and their types, Distribution Functions and their types. Density and Mass Functions. Mathematical Expectation, (Mean and Variance), Moments and Moment Generating Functions. Differentiating Under an Integral Sign. Examples, Normal and No. of weeks 1 Contact hours 3 2 6 T .FATEN MaSc 376 Exponential density functions & Binomial and Poisson Mass functions. Distribution of multiple Random Variables. Joint and Marginal Distributions. Conditional Distributions and Independence. Moment Generating Functions of multiple random variables. Covariance and Correlation. Bivariate and Multivariate Distributions. Examples include the Bivariate normal distribution and the Multivariate normal distribution. Distribution of Functions of Random Variables. Hierarchical Models and Mixture Distributions Examples included: Distribution of sum of independent normally distribute random variables, sum of Exponential random variables, the distribution of the ratio of two random variables. Distribution of a transformation of a 2 6 2 6 T .FATEN MaSc 376 random variable. Examples included distribution of the square of standard normal random variable. Common Families of Distributions. Exponential Families. Locations and Scale Families. Inequalities and Identities. Properties of a Random Sample, Basic Concepts of Random Samples. Generating a Random Sample (direct & indirect). Point and Interval Estimation. Introduction. Methods of Finding Estimators. Methods of Evaluating the estimation Hypothesis Testing. Introduction. Methods of Finding Tests. Methods of Evaluating Test. Regression Models. Introduction. Regression with Errors in Variables. Total 1 3 1 3 2 6 2 6 2 6 15 45 T .FATEN MaSc 376 Other reference Casella G. & Berger R. L. Statistical Inference. Second edition, Duxbury Press, 2007 Grading Mark First quiz 5 First mid 15 Second quiz 5 Second mid 15 Third quiz 5 HW + extra work 10 Do you want to get an A in this course ! week Week 3-sun 8 Feb 2015 Week 6-sun 1Marsh 2015 Week 9-sun 29 marsh 2015 Week 12-sun 19 april 2015 Week 14-sun 3 may 2015 Progress SO BE ON TIME ,WORK HARD , DO HOMEWORK AND DON’T MISS ANY QUIZ OR EXAM. YOU WILL SECUSSES Good luck T. Faten alamri