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The Science of Data
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Probability
Introduction
Counting
Conditional Probability
Discrete Random Variables
Continuous Random Variables
Further Topics
Bayesian Inference
Limit Theorems
Stochastic Processes
Markov Processes
Statistics and Data Analysis
Introduction
Inferential Statistics
Estimation
Hypothesis Testing
Bayesian Statistics
Linear Regression
Generalized Linear Model
Machine Learning with Python
Introduction
Linear Classification
Neural Networks
Unsupervised Learning
Reinforcement Learning
Statistics and Data Analysis with R
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Data Science Homepage
Overview
Introduction
Concepts from Probability
Statistical Modeling
Foundation of Inference
Parametric Estimation
Confidence Intervals
The Delta Method
Introduction to Hypothesis Testing
Levels and p-Values
Methods of Estimation
Total Variation Distance
Kullback-Leibler Divergence
Maximum Likelihood Principle
Maximum Likelihood Estimation
Covariance Matrices
Multivariate Statistics
Fisher Information
MLE and the Method of Moments
M-Estimation
Hypothesis Testing
Chi-squared Distribution and t-Test
Wald's Test
Likelihood Ratio Test
Implicit Hypothesis
Goodness of Fit Test
Kolmogorov-Smirnov Test
Kolmogorov-Lilliefors Test
QQ-Plot
Linear Regression
Univariate Linear Regression
Multivariate Linear Regression
Statistical Inference
Ridge Regression
Causality
Definition
Randomized Controlled Trials
Omitted Variable Bias
Endogeneity and Instrumental Variables
Generalized Linear Model
Exponential Families
The Canonical Link Function
Logistic Regression
Bayesian Statistics
Levels and p-Values
Level, Test Statistic and Rejection Region
p-Values