Here we introduce a bounded distribution, bounded by 0 and 1, that has unimodal density function. The distribution function as well as the hazard rate function of the model have closed forms. Structural properties and asymptotic behavior of the distribution are studied and obtained a characterization. Moreover, the distribution is an increasing generalized failure rate distribution and is capable of modeling data with increasing and bathtub failure rates. Two real data sets are analyzed and it is shown that the proposed model fits better than some of the existing models.
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Amjish et al. (2024) studied this question.
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