We propose a new two-parameter continuous model called the extended arcsine distribution restricted to the unit interval. It is a very competitive model to the beta and Kumaraswamy distributions for modeling percentages, rates, fractions and proportions. We provide a mathematical treatment of the new distribution including explicit expressions for the ordinary and incomplete moments, mean deviations, Bonferroni and Lorenz curves, generating and quantile functions, Shannon entropy and order statistics. Maximum likelihood is used to estimate the model parameters and the expected information matrix is determined. We demonstrate by means of two applications to proportional data that it can give consistently a better fit than other important statistical models.
Alexander, C., Cordeiro, G .M., Ortega, E. M. M. and Sarabia, J. M.,Generalized beta-generated distributions, Computational Statistics and Data Analysis, 56 (2012), 1880–1897.
Alexander, C., Cordeiro, G .M., Ortega, E. M. M. and Sarabia, J. M.,Generalized beta-generated distributions, Computational Statistics and Data Analysis, 56 (2012), 1880–1897.)| false
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Studia Scientiarum Mathematicarum Hungarica
2021 Volume 58
Magyar Tudományos Akadémia
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