Lomax tangent generalized family of distributions: Characteristics, simulations, and applications on hydrological-strength data
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Date
2024-05
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Abstract
This article proposes and discusses a novel approach for generating trigonometric G-families
using hybrid generalizers of distributions. The proposed generalizer is constructed by utilizing the
tangent trigonometric function and distribution function of base model 𝐺(𝑥). The newly proposed
family of uni-variate continuous distributions is named the “Lomax Tangent Generalized Family of
Distributions (LT-G)” and structural-mathematical-statistical properties are derived. Some special
and sub-models of the proposed family are also presented.
A Weibull-based model, ‘The Lomax Tangent Weibull (LT-W) Distribution,” is discussed and the
plots of density (pdf) and hazard (hrf) functions are also explained. Model parameter estimates
are estimated by employing the maximum likelihood estimation (MLE) procedure. The accuracy
of the MLEs is evaluated through Monte Carlo simulation. Last but not least, to demonstrate the
flexibility and potential of the proposed distribution, two actual hydrological and strength data
sets are analyzed. The obtained results are compared with well-known, competitive, and related
existing distributions.