In this article, a logistic model is introduced to adapt to the speed data obtained in the modern Olympics for the 100-meter men’s racing competitions. Firstly, a gamma truncated distribution is proposed to a priori describe the maximum reachable speed, on the basis of observations collected in literature. Secondly, a posterior distribution is derived considering the likelihood expressed by the data, with respect to the logistic model originally introduced. Some considerations are made comparing prior and posterior distributions.

Increase limit in top speed of hundred meters' track competition

luigi bollani
2018-01-01

Abstract

In this article, a logistic model is introduced to adapt to the speed data obtained in the modern Olympics for the 100-meter men’s racing competitions. Firstly, a gamma truncated distribution is proposed to a priori describe the maximum reachable speed, on the basis of observations collected in literature. Secondly, a posterior distribution is derived considering the likelihood expressed by the data, with respect to the logistic model originally introduced. Some considerations are made comparing prior and posterior distributions.
2018
Biostat at 25th - Invited Essays in Theoretical, Biomedical and Social Statistics
Edizioni ETS
37
45
978-8846754097
logistic model, gamma distribution, Bayesian probability model, prior and posterior distributions
luigi bollani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1711589
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