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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