The gamma power half-logistic distribution: theory and applications

نویسندگان

چکیده

In this paper, we propose a new three-parameter distribution defined on the positive real line, called gamma power half-logistic distribution. It constitutes an extension of using generated mechanism. The capabilities parent are thus improved in several aspects. particular, hazard rate function now presents increasing failure, decreasing and bathtub shapes, which demanded characteristics context statistical modelling. Other features related to quantiles, skewness, kurtosis, moments, incomplete mean deviations, Bonferroni Lorenz curves, stochastic ordering, reliability parameter, distributions order statistics also discussed. Subsequently, model is investigated real-world results. We use classical maximum likelihood method for estimating parameters, with simulation trial demonstrating effectiveness large enough sample sizes. Then, four real-life data sets different sizes used concrete application model, its superiority fitting compared similar models.

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ژورنال

عنوان ژورنال: The São Paulo Journal of Mathematical Sciences

سال: 2022

ISSN: ['2316-9028', '1982-6907']

DOI: https://doi.org/10.1007/s40863-022-00331-x