Examinando por Autor "Josu Najera Zuloaga"

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    Ítem
    A Bimodal Extension of the Beta-Binomial Distributionwith Applications
    (2024) Jimmy Reyes; Josu Najera Zuloaga; Dae-Jin Lee; Jaime Arrué; Yuri A. Iriarte
    In this paper, we propose an alternative distribution to model count data exhibitinguni/bimodality. It arises as a weighted version of the beta-binomial distribution, which is defined bya parametric weight function that admits up to two modes for the resulting probability mass function.Like the baseline beta-binomial distribution, the proposed distribution performs well in modelingoverdispersed binomial data. Structural properties of the new distribution are studied. Raw momentsare derived, which are used to describe the dispersion behavior relative to the mean and the skewnessbehavior. Parameter estimation is carried out using the maximum likelihood method. A simulationstudy is conducted in order to illustrate the behavior of the estimators. Finally, two applicationsillustrating the usefulness of the proposal are presented.