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Table of Contents
Theory of Probability
Random Variables and Their Distributions
Three Fundamental Distributions: Binomial, Gaussian and Poisson
The Distribution of Functions of Random Variables
Error Propagation and Simulation of Random Variables
Maximum Likelihood and Other Methods to Estimate Variables
Mean, Median and Average Values of Variables
Hypothesis Testing and Statistics
Maximumlikelihood Methods for Gaussian Data
Multivariable Regression and Generalized Linear Models
Goodness of Fit and Parameter Uncertainty for Gaussian Data
LowCount Statistics
Maximumlikelihood Methods for lowcount Statistics
The linear Correlation Coefficient
Systematic Errors and Intrinsic Scatter.-Regression with Bivariate Errors
Model Comparison
Monte Carlo Methods
Introduction to Markov Chains
Monte Carlo Markov Chains.
Random Variables and Their Distributions
Three Fundamental Distributions: Binomial, Gaussian and Poisson
The Distribution of Functions of Random Variables
Error Propagation and Simulation of Random Variables
Maximum Likelihood and Other Methods to Estimate Variables
Mean, Median and Average Values of Variables
Hypothesis Testing and Statistics
Maximumlikelihood Methods for Gaussian Data
Multivariable Regression and Generalized Linear Models
Goodness of Fit and Parameter Uncertainty for Gaussian Data
LowCount Statistics
Maximumlikelihood Methods for lowcount Statistics
The linear Correlation Coefficient
Systematic Errors and Intrinsic Scatter.-Regression with Bivariate Errors
Model Comparison
Monte Carlo Methods
Introduction to Markov Chains
Monte Carlo Markov Chains.