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Bayesian nonparametric regression models for modeling and predicting healthcare claims

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  • Richardson, Robert
  • Hartman, Brian

Abstract

Standard regression models are often insufficient to describe the complex relationships that exist in healthcare claims. A Bayesian nonparametric regression approach is presented as a flexible regression model that relaxes the assumption of Gaussianity. The details for implementation are presented. Bayesian nonparametric regression is applied to a dataset of claims by episode treatment group (ETG) with a specific focus on prediction of new observations. It is shown that the predictive accuracy improves when compared both to standard linear model assumptions and the more flexible Generalized Beta regression. Of the 347 different ETGs, the nonparametric regression outperformed both the standard linear and generalized beta regression on all but 11. By studying Conjunctivitis and Lung Transplants specifically, it is shown that this approach can handle complex characteristics of the regression error distribution such as skewness, thick tails, outliers, and bimodality.

Suggested Citation

  • Richardson, Robert & Hartman, Brian, 2018. "Bayesian nonparametric regression models for modeling and predicting healthcare claims," Insurance: Mathematics and Economics, Elsevier, vol. 83(C), pages 1-8.
  • Handle: RePEc:eee:insuma:v:83:y:2018:i:c:p:1-8
    DOI: 10.1016/j.insmatheco.2018.06.002
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    Cited by:

    1. Huang, Yifan & Meng, Shengwang, 2020. "A Bayesian nonparametric model and its application in insurance loss prediction," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 84-94.

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    More about this item

    Keywords

    Dependent Dirichlet process; Episode treatment group; Markov chain Monte Carlo; Model comparison; Linear models;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • I11 - Health, Education, and Welfare - - Health - - - Analysis of Health Care Markets

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