New order-statistics-based ranking models and faster computation of outcome probabilities

Baker, RD ORCID: https://orcid.org/0000-0003-3555-3425 2020, 'New order-statistics-based ranking models and faster computation of outcome probabilities' , IMA Journal of Management Mathematics, 31 (1) , pp. 33-48.

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Abstract

In sport, order-statistics-based models such as Henery’s gamma model and the Thurstone-Mosteller type V model are useful in estimating competitor strengths from observed performance of players in competitions between 2 or more players. They can also be applied in many other areas, such as analysis of consumer preference data, which would be useful to marketing management. Two new families of such models derived from the exponentiated exponential and Pareto distributions are introduced. Use of order statistics-based models when there are more than 2 competitors has been hampered by lack of an efficient method of computation of outcome probabilities as a function of competitor strengths, and a fast method of computation of outcome probabilities is presented, that exploits the fact that the integral to be evaluated is an iterated integral.

Item Type: Article
Schools: Schools > Salford Business School
Journal or Publication Title: IMA Journal of Management Mathematics
Publisher: Oxford University Press
ISSN: 1471-678X
Related URLs:
Depositing User: Prof Rose Dawn Baker
Date Deposited: 17 Jan 2019 12:38
Last Modified: 13 Mar 2020 15:15
URI: http://usir.salford.ac.uk/id/eprint/49762

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