DEPARTMENT OF STATIS TICS
COLLEGE OF ARTS & SCIENCES
330.972.6886 (TELEPHONE)
Course Description
3470:651
Prerequisite:
Probability and Statistics
4 credits
3450:223 Analytic Geometry-Calculus III or equivalent.
Course Description: Probability, random variables, moments and generating
functions, random vectors, special distributions, limit theorems, sampling, point
estimations, hypothesis testing, confidence estimation.
Course Topics:
Probability
Axioms, Probability Space, Conditional Probability, Independence, Bayes
Random Variables
Distributions, pdf, pmf, cdf
Transitions for Discrete and Continuous Random Variables
Expectations
Moments, Variance, mgf, Markov and Chebyshev’s Inequalities
Multivariate Distributions
Joint, Marginal and Conditional Distributions, mgf
Order Statistics
Some Special Distributions
Binomial, Geometric, Poisson, Gamma, Chi Square, Normal, T and F
Distributions
Limiting Distributions
Convergence in Distribution and Probability, Central Limit Theorem
Fall 2014