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A nested expectation–maximization algorithm for latent class models with covariates

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  • Durante, Daniele
  • Canale, Antonio
  • Rigon, Tommaso

Abstract

We propose a nested em routine which guarantees monotone log-likelihood sequences and improved convergence rates in maximum likelihood estimation of latent class models with covariates.

Suggested Citation

  • Durante, Daniele & Canale, Antonio & Rigon, Tommaso, 2019. "A nested expectation–maximization algorithm for latent class models with covariates," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 97-103.
    • Handle: RePEc:eee:stapro:v:146:y:2019:i:c:p:97-103
    DOI: 10.1016/j.spl.2018.10.015
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    References listed on IDEAS

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    1. Hunter D.R. & Lange K., 2004. "A Tutorial on MM Algorithms," The American Statistician, American Statistical Association, vol. 58, pages 30-37, February.
    2. Dankmar Böhning & Bruce Lindsay, 1988. "Monotonicity of quadratic-approximation algorithms," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 40(4), pages 641-663, December.
    3. Vermunt, Jeroen K., 2010. "Latent Class Modeling with Covariates: Two Improved Three-Step Approaches," Political Analysis, Cambridge University Press, vol. 18(4), pages 450-469.
    4. Linzer, Drew A. & Lewis, Jeffrey B., 2011. "poLCA: An R Package for Polytomous Variable Latent Class Analysis," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 42(i10).
    5. Bolck, Annabel & Croon, Marcel & Hagenaars, Jacques, 2004. "Estimating Latent Structure Models with Categorical Variables: One-Step Versus Three-Step Estimators," Political Analysis, Cambridge University Press, vol. 12(1), pages 3-27, January.
    6. Nicholas G. Polson & James G. Scott & Jesse Windle, 2013. "Bayesian Inference for Logistic Models Using Pólya--Gamma Latent Variables," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 108(504), pages 1339-1349, December.
    7. Peter G. M. van der Heijden & Jos Dessens & UIf Bockenholt, 1996. "Estimating the Concomitant-Variable Latent-Class Model With the EM Algorithm," Journal of Educational and Behavioral Statistics, , vol. 21(3), pages 215-229, September.
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