1 Introduction 1.1 GUI and Basic functions 1.1.1 Command Window 1.1.2 Command History 1.1.3 MatLab Help 2 Data in MatLab 2.1 Manipulating data 2.1.1 Creating Objects 2.1.2 Operators 3 Graphics 3.1 Use plotting tools 3.2 Use the command interface 3.2.1 Basic plots 3.2.2 Adding Plots to an Existing Graph 3.2.3 Multiple Plots in One Figure 3.2.4 Controlling the Axes 3.2.5 Axis Labels and Titles 3.3 Mesh and Surface Plots 3.4 Creating Specialized Plots 3.5 Advanced plotting
1 Programming 1.1 M file 1.1.1 Program Control Statements 1.1.2 M-File Functions 1.2 anonymous functions 2 Computational statistics with Matlab 2.1 Functions on Probability and Statistics 2.1.1 Probability distribution 2.1.2 Descriptive statistics 2.1.3 Statistical plotting 2.1.4 Linear model 2.1.5 Multivariate Statistics 2.2 Monte Carlo with Matlab 2.2.1 Monte Carlo Assessment of Hypothesis Testing 2.2.2 MCMC with matlab 3 Symbolic computation with matlab 3.1 Creating Symbolic Variables and Expressions 3.2 Calculus 4 Optimization 4.1 Unconstrained Minimization Example 4.2 Nonlinear Inequality Constrained Example
1 Methods for Generating Random Variables 1.1 Generating Uniform(0,1) random number 1.2 Random Generators of Common Probability Distribution in R 1.2.1 The Inverse Transform Method 1.2.2 The Acceptance-Rejection Method 1.2.3 Transformation Methods 1.2.4 Sums and Mixtures 1.3 Multivariate Distribution 1.3.1 Multivariate Normal Distribution 1.3.2 Mixtures of Multivariate Normals 1.3.3 Wishart Distribution 1.3.4 Uniform Distribution on the d−Sphere 1.4 Stochastic Process