Count Data Models

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Specifications

  • Poisson regression
  • Negative binomial: NB1, NB2, NB-P
  • Negative binomial with heterogeneity
  • Gamma model for over- or underdispersion
  • Generalized Poisson and Polya-Aeppli
  • Latent heterogeneity - normal or log-gamma
  • Hurdle model
  • Underreporting
  • Box-Cox functional form
  • Zero inflation models
    • ZIP(tau) and ZINB(tau)
    • Covariates ZIP and ZINB
  • Zero inflation with endogenous regime
  • Sample selection
    • Sample selection models, Poisson and negative binomial
    • Incidental truncation
    • Heterogeneity and underreporting
    • Endogenous underreporting

Data features

  • Censoring
  • Truncation
  • Unobserved heterogeneity

Estimation and inference

  • Marginal effects and average partial effects
  • Fit measures (Pearson and deviance)
  • Predictions
  • Restrictions and hypothesis - Wald, LR, LM tests
  • Overdispersion tests
  • Robust covariance matrices: cluster, sandwich
  • Tests for hurdle effects

Panel data models

  • Fixed effects
    • Conditional
    • Unconditional: up to 50,000 dummy variable coefficients
    • Marginal effects
    • Predictions
  • Random effects
    • Log-gamma
    • Lognormal
  • Random parameters
  • Latent class models
  • Latent class with zero inflation
  • Split population and latent class models