Bounded Inverse-Slashed Pareto Model: Structural Properties and Real-Life Applications

A novel probability model with bounded support is introduced. The formulation of this new probability model is based on inverting the Slashed Pareto distribution. This new distribution has the merit of being very simple and not involving any complex mathematical function in its construction. Some in...

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Veröffentlicht in:Advances in the theory of nonlinear analysis and its applications 2023-08
Hauptverfasser: AHMAD, Ishfaq S., BHAT, Mohd Younus, AHMAD, Peer Bilal, DAR, Javid Gani, PİNELAS, Sandra
Format: Artikel
Sprache:eng
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Zusammenfassung:A novel probability model with bounded support is introduced. The formulation of this new probability model is based on inverting the Slashed Pareto distribution. This new distribution has the merit of being very simple and not involving any complex mathematical function in its construction. Some interesting properties like moments, skewness and kurtosis, unimodality, L-Moments, L-skewness and L-kurtosis would be explored in detail. Various Survival properties including survival function, hazard rate function and mean residual life(MRL) like have been given. For estimating the parameters contained in the new model, methods like Method of Moments (MOM) and Maximum Likelihood Estimation (MLE) have been used.
ISSN:2587-2648
2587-2648
DOI:10.31197/atnaa.1325508