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Regularized Age-Period-Cohort Modeling of Opioid Mortality Rates

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  • Gary Venter

Abstract

Opioid mortality rates have been increasing sharply, but not uniformly by age. Peak ages have recently dropped from the mid-40s to the mid-30s. There are two age peaks that have been moving up diagonally, with years of birth around 1960 and 1980 staying near the tops, and those around 1970 generally lower. We model this history with the Lee-Carter plus cohorts mortality model, which includes variable trends by age, and a generalization of it. This can be fit by maximum likelihood estimation (MLE) but statistical methods that shrink parameters towards zero (regularization) give lower predictive variances than MLE does. We address how to apply regularization to age-period-cohort models. Frequentist and Bayesian regularization are explored. The latter has some practical advantages.

Suggested Citation

  • Gary Venter, 2018. "Regularized Age-Period-Cohort Modeling of Opioid Mortality Rates," Applied Economics and Finance, Redfame publishing, vol. 5(4), pages 12-23, July.
    • Handle: RePEc:rfa:aefjnl:v:5:y:2018:i:4:p:12-23
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    References listed on IDEAS

    as
    1. Andrew Hunt & David Blake, 2014. "A General Procedure for Constructing Mortality Models," North American Actuarial Journal, Taylor & Francis Journals, vol. 18(1), pages 116-138.
    2. Philip Oreopoulos & Till von Wachter & Andrew Heisz, 2006. "The Short- and Long-Term Career Effects of Graduating in a Recession: Hysteresis and Heterogeneity in the Market for College Graduates," NBER Working Papers 12159, National Bureau of Economic Research, Inc.
    3. Maarten J. Bijlsma & Rhian M. Daniel & Fanny Janssen & Bianca L. De Stavola, 2017. "An Assessment and Extension of the Mechanism-Based Approach to the Identification of Age-Period-Cohort Models," Demography, Springer;Population Association of America (PAA), vol. 54(2), pages 721-743, April.
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    More about this item

    Keywords

    MCMC; Lee-Carter; regularization; cohorts; opioid mortality;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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