Qingyang Liu’s Website

• Topics about Generalized Linear Model(GLM)
  • Some important results about GLM
  • GLM fitting with canonical link
  • Logistic regression MLE with examples
• Topics about Data Visualization
  • Visualize Time Series Model Selection
  • ACF&PACF by ggplot2
  • Contour Plots by matplotlib
  • Grouped Display by lattice and matplotlib
  • Visualize Monte Carlo Integration Approximation of \(\pi\)
  • Area under curve by matplotlib
  • Basic Image Process by Python
• Topics about Linear Mixed Model
  • Mixed Model Equations and REML
  • Example for Mixed Model Equations and REML
  • Expectation Maximization Algorithm With One Example
• Topics about Optimization
  • Finite Difference
  • Newton Raphson in Python
  • Classical Monte Carlo Integration
• Miscellaneous
  • QR decomposition
  • Gauss–Markov theorem
  • \(p\)-value is a statistic!(random variable)
  • Fisher Information Matrix under regularity conditions
  • Box Muller Algorithm by Python
  • The Accept/Rejection Algorithm by Python
  • The Envelope Accept/Reject Algorithm
  • Generate Random Points over the Disk
  • Gibbs Sampling - Bivariate Normal Distribution by Python