Mathematical Statistics: Course Outline (MAT 413)
Mathematical statistics is the application of mathematics to statistics, which was originally conceived as the science of the state. the collection and analysis of facts about a country: its economy, land, military, population, and so forth.
Course Contents
 Interpretations of Probability, Experiments and events, Definition of probability, Finite sample spaces, Counting methods,
 The probability of a union of events, Independent events,
 Definition of conditional probability,
 Bayes theorem. Random variables, discrete distributions and continuous distributions,
 Probability function and probability density function,
 The distribution function, Bivariate distributions, Marginal distributions, Conditional distributions, Multivariate distributions,
 Functions of random variables, The expectation of a random variable, Properties of expectations,
 Variance. Moments,
 The mean and the median, Covariance and correlation,
 Conditional expectation,
 Moment Generating functions,
 Probability distribution functions,
 Binomial, Negative Binomial
 Poisson,
 Normal Distribution.
Text Books

Introduction to mathematical statistics byCall Number: 519.5 HOGISBN: 9789332519114Publication Date: 2014
Reference Books

Introduction to the theory of statistics byCall Number: 519.5 MOOISBN: 9780070445208Publication Date: 1974
Other Books

by Dukkipati, Rao V. Q,
Date Published: 2011
Pages: 532 
by Deep, Ronald
Date Published: 2005 
by Lee, Peter M.
Date Published: 2012