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Related papers: A Two-Parameter Weibull Framework for Diagnosing T…

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Weibull distribution is widely used in modelling health data. However, its lack of sufficient tail flexibility often results in poor fit in extreme events. We proposed another three-parameter extension of the Weibull distribution with…

Methodology · Statistics 2026-04-07 Isqeel Ogunsola , Nurudeen Ajadi , Gboyega Adepoju

Modeling is a challenging topic and using parametric models is an important stage to reach flexible function for modeling. Weibull distribution has two parameters which are shape $\alpha$ and scale $\beta$. In this study, bimodality…

Methodology · Statistics 2020-12-03 Roberto Vila , Mehmet Niyazi Çankaya

The Sustainable Development Goals (SDGs) of the United Nations consist of 17 general objectives, subdivided into 169 targets to be achieved by 2030. Several SDG indices and indicators require continuous analysis and evaluation, and most of…

Methodology · Statistics 2025-08-26 João Inácio Scrimini , Cleber Bisognin , Renata Rojas Guerra , Fábio M. Bayer

This paper explores the extension of the classical two-parameter Weibull distribution to a four-parameter Harris extended Weibull (HEW) distribution. The flexibility of this probability distribution is illustrated by the varying shapes of…

Methodology · Statistics 2025-10-01 Prithul Chaturvedi , Himanshu Pokhriyal

The Weibull distribution is a commonly adopted choice for modeling the survival of systems subject to maintenance over time. When only proxy indicators and censored observations are available, it becomes necessary to express the…

Machine Learning · Statistics 2025-12-11 Gabrielle Rives , Olivier Lopez , Nicolas Bousquet

This paper is devoted to study a new three- parameters model called the Exponential Flexible Weibull extension (EFWE) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including…

Statistics Theory · Mathematics 2016-05-27 Beih S. El-Desouky , Abdelfattah Mustafa , Shamsan AL-Garash

Weibull distribution has received a wide range of applications in engineering and science. The utility and usefulness of an estimator is highly subject to the field of practitioner's study. In practice users looking for their desired…

Computation · Statistics 2019-02-18 Sahar Sadani , Kamel Abdollahnezhad , Mahdi Teimouri , Vahid Ranjbar

In this paper, we propose a reduced version of the new modified Weibull (NMW) distribution due to Almalki and Yuan \cite{meNMW} in order to avoid some estimation problems. The number of parameters in the NMW distribution is five. The number…

Methodology · Statistics 2013-07-16 Saad J. Almalki

In this paper, we propose methods for the estimation of parameters for the three-parameter Reflected Weibull distribution. The Moment estimator , Maximum likelihood estimator and Location and Scale Parameters free maximum likelihood…

Other Statistics · Statistics 2019-05-01 Fateme Maleki Jebeli , Einolah Deiri

The Weibull distribution is a very applicable model for the lifetime data. In this paper, we have investigated inference on the parameters of Weibull distribution based on record values. We first propose a simple and exact test and a…

Statistics Theory · Mathematics 2015-01-12 Ali Akbar Jafari , Hojatollah Zakerzadeh

A generalization of the generalized inverse Weibull distribution so-called transmuted generalized inverse Weibull dis- tribution is proposed and studied. We will use the quadratic rank transmutation map (QRTM) in order to generate a…

Methodology · Statistics 2013-09-16 Faton Merovci , Ibrahim Elbatal , Alaa Ahmed

We propose the notion of sub-Weibull distributions, which are characterised by tails lighter than (or equally light as) the right tail of a Weibull distribution. This novel class generalises the sub-Gaussian and sub-Exponential families to…

Statistics Theory · Mathematics 2020-12-04 Mariia Vladimirova , Stephane Girard , Hien Nguyen , Julyan Arbel

This paper introduces a polynomial transformation model based on Weibull distribution, whereby the analytical representation of the quantile function for many probability distributions can be obtained. Firstly, the target random variable…

Methodology · Statistics 2015-08-26 Qing Xiao

In this article, we consider the estimation of unknown parameters of Weibull distribution when the lifetime data are observed in the presence of progressively type-I hybrid censoring scheme. The Newton-Raphson algorithm,…

Statistics Theory · Mathematics 2019-11-12 Yasin Asar , R. Arabi Belaghi

This paper introduces a new three-parameters model called the Weibull-G exponential distribution (WGED) distribution which exhibits bathtub-shaped hazard rate. Some of it's statistical properties are obtained including quantile, moments,…

Statistics Theory · Mathematics 2016-06-24 Abdelfattah Mustafa , B. S. El-Desouky , Shamsan AL-Garash

The progressive censoring scheme has received considerable amount of attention in the last fifteen years. During the last few years joint progressive censoring scheme has gained some popularity. Recently, the authors Mondal and Kundu ("A…

Applications · Statistics 2018-01-03 Shuvashree Mondal , Debasis Kundu

In the present paper, Probability weighted moments (PWMs) method for parameter estimation of the median based unit weibull (MBUW) distribution is discussed. The most widely used first order PWMs is compared with the higher order PWMs for…

Methodology · Statistics 2025-11-20 Iman Mohammed Attia

In this paper we introduce a new method to add a parameter to a family of distributions. The additional parameter is completely studied and a full description of its behaviour in the distribution is given. We obtain several mathematical…

Methodology · Statistics 2010-03-10 Wagner Barreto-Souza , Alexandre B. Simas

This paper presents a new methodology for generating continuous statistical distributions, integrating the exponentiated odds ratio within the framework of survival analysis. This new method enhances the flexibility and adaptability of…

Statistics Theory · Mathematics 2024-02-28 Xinyu Chen , Yuanqi Xie , Achraf Cohen , Shusen Pu

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

Methodology · Statistics 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi
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