Tuesday, January 5, 2010

Applied Mathematics: Probabilities and Statistics Topics

 

- Probability and Random Variables

*Events and their probabilities

*Rules of Probability

*Combinatorics

*Conditional probability and independence

- Discrete Random Variables and Their Distributions

- Continuous Distributions

- Stochastic Processes

- Queuing Systems

- Introduction to Statistics

*Population and sample,parameters and statistics

*Simple descriptive statistics

*Graphical statistics

- Statistical Inference

*Parameter estimation

*Confidence intervals

*Unknown standard deviation

*Hypothesis testing

*Inference about variances

*Chi-square tests

*Nonparametric statistics

*Bootstrap

*Bayesian inference

- Regression

*Least squares estimation

*Analysis of variance,prediction,and further inference

*Multivariate regression

*Model building