Order statistics of horse racing and the randomly broken stick

We find a remarkable agreement between the statistics of a randomly divided interval and the observed statistical patterns and distributions found in horse racing betting markets. We compare the distribution of implied winning odds, the average true winning probabilities, the implied odds conditiona...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Bebbington, Peter A, Bonart, Julius
Format: Article
Language:English
Subjects:
Division
Gambling
Horse racing
Mapping
Random variables
Statistics
Online Access:Get full text
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Summary:We find a remarkable agreement between the statistics of a randomly divided interval and the observed statistical patterns and distributions found in horse racing betting markets. We compare the distribution of implied winning odds, the average true winning probabilities, the implied odds conditional on a win, and the average implied odds of the winning horse with the corresponding quantities from the "randomly broken stick problem". We observe that the market is at least to some degree informationally efficient. From the mapping between exponential random variables and the statistics of the random division we conclude that horses' true winning abilities are exponentially distributed.
ISSN:2331-8422