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In this paper, we use a regression model for modeling bounded outcome scores (BOS), where the outcome is Kumaraswamy distributed. Similar to the Beta distribution, this distribution can take a variety of shapes while being computationally easier to use. Thus, it is deemed as a suitable alternative distribution to the Beta in modeling bounded random processes. In the proposed model, the median of a bounded response is modeled by the linear predictors which is defined through regression parameters and explanatory variables. We obtained the maximum likelihood estimates (MLE) of the parameters, provided closed-form expressions for the score functions and Fisher information matrix, and presented some diagnostic measures. We conducted Monte Carlo simulations to investigate the finite-sample performance of the MLEs of the parameters. Finally, two practical applications of this model to the real data sets are presented and discussed.


Bounded outcome score Kumaraswamy distribution Beta regression maximum likelihood estimation diagnostic analysis

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Hamedi-Shahraki, S., Rasekhi, A., Yekaninejad, M. S., Eshraghian, M. R., & Pakpour, A. H. (2021). Kumaraswamy regression modeling for Bounded Outcome Scores. Pakistan Journal of Statistics and Operation Research, 17(1), 79-88.


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