The Extended Exponential Weibull Distribution: Properties, Inference, and Applications to Real‐Life Data

Mastor, Adam Braima; Ngesa, Oscar; Mung’atu, Joseph; Alfaer, Nada M.; Afify, Ahmed Z.

doi:10.1155/2022/4068842

Cited by 4 publications

(2 citation statements)

References 40 publications

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“…In this study, we consider a very flexible lifetime distribution as the baseline distribution: the four-parameter ExEW distribution, also denoted as ExEW(a, b, c, α) distribution, as presented in Mastor et al [30] (with some corrections). Some background on it is given below.…”

Section: The Baseline Exew Distributionmentioning

confidence: 99%

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The Extended Exponential-Weibull Accelerated Failure Time Model with Application to Sudan COVID-19 Data

Mastor¹,

Alghamdi

Ngesa

et al. 2023

Mathematics

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A fully parametric accelerated failure time (AFT) model with a flexible, novel modified exponential Weibull baseline distribution called the extended exponential Weibull accelerated failure time (ExEW-AFT) model is proposed. The model is presented using the multi-parameter survival regression model, where more than one distributional parameter is linked to the covariates. The model formulation, probabilistic functions, and some of its sub-models were derived. The parameters of the introduced model are estimated using the maximum likelihood approach. An extensive simulation study is used to assess the estimates’ performance using different scenarios based on the baseline hazard shape. The proposed model is applied to a real-life right-censored COVID-19 data set from Sudan to illustrate the practical applicability of the proposed AFT model.

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Section: The Baseline Exew Distributionmentioning

confidence: 99%

“…By following the CDF in Equation ( 5), the HRF and CHRF for the baseline distribution have been corrected from the original equations in the original paper [30].…”

Section: The Baseline Exew Distributionmentioning

confidence: 99%

The Extended Exponential-Weibull Accelerated Failure Time Model with Application to Sudan COVID-19 Data

Mastor¹,

Alghamdi

Ngesa

et al. 2023

Mathematics

Self Cite

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Extended Exponential-Weibull Mixture Cure Model for the Analysis of Cancer Clinical Trials

Mastor

Ngesa²,

Mung’atu³

et al. 2023

Springer Proceedings in Mathematics &Amp; Statistics

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Amoud Class for Hazard-Based and Odds-Based Regression Models: Application to Oncology Studies

Muse

Mwalili

Ngesa³

et al. 2022

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The purpose of this study is to propose a novel, general, tractable, fully parametric class for hazard-based and odds-based models of survival regression for the analysis of censored lifetime data, named as the “Amoud class (AM)” of models. This generality was attained using a structure resembling the general class of hazard-based regression models, with the addition that the baseline odds function is multiplied by a link function. The class is broad enough to cover a number of widely used models, including the proportional hazard model, the general hazard model, the proportional odds model, the general odds model, the accelerated hazards model, the accelerated odds model, and the accelerated failure time model, as well as combinations of these. The proposed class incorporates the analysis of crossing survival curves. Based on a versatile parametric distribution (generalized log-logistic) for the baseline hazard, we introduced a technique for applying these various hazard-based and odds-based regression models. This distribution allows us to cover the most common hazard rate shapes in practice (decreasing, constant, increasing, unimodal, and reversible unimodal), and various common survival distributions (Weibull, Burr-XII, log-logistic, exponential) are its special cases. The proposed model has good inferential features, and it performs well when different information criteria and likelihood ratio tests are used to select hazard-based and odds-based regression models. The proposed model’s utility is demonstrated by an application to a right-censored lifetime dataset with crossing survival curves.

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The Extended Exponential Weibull Distribution: Properties, Inference, and Applications to Real‐Life Data

Cited by 4 publications

References 40 publications

The Extended Exponential-Weibull Accelerated Failure Time Model with Application to Sudan COVID-19 Data

The Extended Exponential-Weibull Accelerated Failure Time Model with Application to Sudan COVID-19 Data

Extended Exponential-Weibull Mixture Cure Model for the Analysis of Cancer Clinical Trials

Amoud Class for Hazard-Based and Odds-Based Regression Models: Application to Oncology Studies

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