The paper introduces a model to study the abilities of women professional tennis players in 2012. By modelling the probability of winning a contest jointly with the number of matches played in a tournament, a possible informative cluster size eect is taken into account. As the resulting likelihood is intractable, the Data Cloning procedure is utilized to obtain the maximum likelihood estimates together with the observed Fisher's Information matrix.
A joint Bradley-Terry model for tennis tournaments via Data Cloning / Anna Gottard. - STAMPA. - 1:(2013), pp. 171-176. (Intervento presentato al convegno International Workshop on Statistical Modelling tenutosi a Palermo nel 8-12 Luglio 2013).
A joint Bradley-Terry model for tennis tournaments via Data Cloning
GOTTARD, ANNA
2013
Abstract
The paper introduces a model to study the abilities of women professional tennis players in 2012. By modelling the probability of winning a contest jointly with the number of matches played in a tournament, a possible informative cluster size eect is taken into account. As the resulting likelihood is intractable, the Data Cloning procedure is utilized to obtain the maximum likelihood estimates together with the observed Fisher's Information matrix.
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