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Title: The uses and abuses of an age-period-cohort method : on the linear algebra and statistical properties of intrinsic and related estimators
Authors: Fu, Q
Guo, X 
Jeon, SY
Reither, EN
Zang, E
Land, KC
Issue Date: Feb-2021
Source: Mathematical foundations of computing, Feb. 2021, v. 4, no. 1, p. 45-59
Abstract: As a sophisticated and popular age-period-cohort method, the Intrinsic Estimator (IE) and related estimators have evoked intense debate in demography, sociology, epidemiology and statistics. This study aims to provide a more holistic review and critical assessment of the overall methodological significance of the IE and related estimators in age-period-cohort analysis. We derive the statistical properties of the IE from a linear algebraic perspective, provide more precise mathematical proofs relevant to the current debate, and demonstrate the essential, yet overlooked, link between the IE and classical statistical tools that have been employed by scholars for decades. This study offers guidelines for the future use of the IE and related estimators in demographic research. The exposition of the IE and related estimators may help redirect, if not settle, the logic of the debate.
Keywords: Intrinsic estimator
Age-period-cohort analysis
Statistics
Asymptotic property
Ridge regression
Principal components regression
Publisher: American Institute of Mathematical Sciences
Journal: Mathematical foundations of computing 
EISSN: 2577-8838
DOI: 10.3934/mfc.2021001
Rights: ¬©American Institute of Mathematical Sciences
This article has been published in a revised form in Mathematical Foundations of Computing http://dx.doi.org/10.3934/mfc.2021001. This version is free to download for private research and study only. Not for redistribution, re-sale or use in derivative works.
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