Estimating Aging Effects in Running Events | Zendy

Ray C. Fair | Zendy; Edward H. Kaplan | Zendy

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Estimating Aging Effects in Running Events

Author(s) -

Ray C. Fair,

Edward H. Kaplan

Publication year - 2018

Publication title -

the review of economics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 8.999

H-Index - 165

eISSN - 1530-9142

pISSN - 0034-6535

DOI - 10.1162/rest_a_00725

Subject(s) - frontier , quadratic equation , econometrics , nonparametric statistics , estimation , statistics , mathematics , quadratic model , value (mathematics) , economics , geography , response surface methodology , geometry , management , archaeology

This paper uses world running records by age to estimate a biological frontier of decline rates. Two models are compared: a linear/ quadratic (LQ) model and a nonparametric model. Two estimation methods are used: (a) minimizing the squared difference between the observed records and the modeled biological frontier and (b) using extreme value theory to estimate the biological frontier that maximizes the probability of observing the existing world records by age. The results support the LQ model and suggest a linear percentage decline up to the late 70s and quadratic decline after that.

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