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A new continuous distribution on the unit interval applied to modelling the points ratio of football teams

Author

Listed:
  • Luiz R. Nakamura
  • Pedro H. R. Cerqueira
  • Thiago G. Ramires
  • Rodrigo R. Pescim
  • R. A. Rigby
  • Dimitrios M. Stasinopoulos

Abstract

We introduce a new flexible distribution to deal with variables on the unit interval based on a transformation of the sinh–arcsinh distribution, which accommodates different degrees of skewness and kurtosis and becomes an interesting alternative to model this type of data. We also include this new distribution into the generalised additive models for location, scale and shape (GAMLSS) framework in order to develop and fit its regression model. For different parameter settings, some simulations are performed to investigate the behaviour of the estimators. The potentiality of the new regression model is illustrated by means of a real dataset related to the points rate of football teams at the end of a championship from the four most important leagues in the world: Barclays Premier League (England), Bundesliga (Germany), Serie A (Italy) and BBVA league (Spain) during three seasons (2011–2012, 2012–2013 and 2013–2014).

Suggested Citation

  • Luiz R. Nakamura & Pedro H. R. Cerqueira & Thiago G. Ramires & Rodrigo R. Pescim & R. A. Rigby & Dimitrios M. Stasinopoulos, 2019. "A new continuous distribution on the unit interval applied to modelling the points ratio of football teams," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(3), pages 416-431, February.
    • Handle: RePEc:taf:japsta:v:46:y:2019:i:3:p:416-431
    DOI: 10.1080/02664763.2018.1495699
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    Cited by:

    1. Hassan S. Bakouch & Tassaddaq Hussain & Marina Tošić & Vladica S. Stojanović & Najla Qarmalah, 2023. "Unit Exponential Probability Distribution: Characterization and Applications in Environmental and Engineering Data Modeling," Mathematics, MDPI, vol. 11(19), pages 1-22, October.

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