Weibull-Inverse Exponential [Loglogistic] A New Distribution

Abstract

The Weibull-inverse exponential-loglogistic distribution which is abbreviated as (Weibull-IE-loglogistc) is a member of the neotric T- inverse exponential family introduced previously by the authors. Properties of this distribution such as (mode, quantile function, median, hazard function, survival function, moments, order statistics and Shannon’s entropy) are derived, and maximum likelihood estimates of its parameters are obtained. The usefulness of this neoteric distribution in analyzing data is illustrated. A simulation study is conducted to evaluate the performance of this distribution.

Bayesian inference for the inverse Weibull distribution based on symmetric and asymmetric balanced loss functions with application

“…The DUSneutrosophic multivariate IWD was recently studied by Hassan and Aslam [28]. Several authors have explored the IWD, as evidenced in the works of Andrzejczak and Bukowski [9], Ilori1 et al [30], Mahmoud et al [43], Al-Essa et al [5], Aljeddani and Mohammed [7], Hussam et al [29],…”

“…• The simulation is executed with varying values for 𝑘, 𝑑, 𝑇 1 , and 𝑇 2 , alongside the parameters 𝛼 and 𝛽 . We examine different combinations of (n, k, d) including (30,15,20), (50,20,35), (50,25,30), (60,30,38), (50,35,45), and (50,40,43). The pre-determined termination times (𝑇 1 , 𝑇 2 ) are also selected as (1, 1.3), (0.5, 1.4), (0.9, 1.5), (0.6, 1.7), (0.5, 1.2), and (0.4, 0.9).…”