The Nadarajah-Haghighi Lindley distribution

Peña-Ramírez, Fernando A.; Guerra, Renata Rojas; Cordeiro, Gauss M.

doi:10.1590/0001-3765201920170856

Cited by 5 publications

(2 citation statements)

References 28 publications

(9 reference statements)

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“…and studied a very few basic properties. Peña-Ramírez et al [58] proposed a compounded NH-Lindley model for components of a system arranged in series, having a new survival function (product of two sfs) as…”

Section: Miscellaneous Contributions To the Nh Modelmentioning

confidence: 99%

Robust Assessment on the Developments of Three Extended Exponential Models with Some New Properties and Applications

Ahmadini

Tahir

Alamri

et al. 2021

Mathematical Problems in Engineering

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The extended exponential distribution introduced by Nadarajah and Haghighi in the year 2011, which is nowadays well known as NH distribution, has received increased attention in these days. In this paper, we provide a robust assessment report on the development of three more related extended versions of exponential (or Weibull) distributions. We assessed that which model was published earlier than the other ones and why the pioneer work was not cited properly or overlooked. For example, power generalized Weibull (PGW) introduced by Bagdonavic̆ios and Nikulin (and Nikulin and Haghighi) and extended Weibull by Dimitrakopoulou, Adamidis, and Loukas, which we call here as the DAL model, were published earlier than the NH model. The developments of these three models are stated. A new method for the construction of NH and DAL models is outlined. A literature review on NH and DAL models is presented, and generalized classes from these models are discussed. Furthermore, some corrections in NH moments are suggested, and alternative expressions for moments and incomplete moments of NH and DAL models are also developed.

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Section: Miscellaneous Contributions To the Nh Modelmentioning

confidence: 99%

Robust Assessment on the Developments of Three Extended Exponential Models with Some New Properties and Applications

Ahmadini

Tahir

Alamri

et al. 2021

Mathematical Problems in Engineering

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“…The formulation of new generalized classes of probability distributions is a topic that has received a great deal of attention in recent years, particularly when it comes to positive data [1]. To mention a few, we refer the reader to [2][3][4] as extensions of the Weibull distribution and [5,6] for Nadarajah-Haghighi generalizations. Most of these works are introduced aiming to furnish more flexible distributions regarding shape densities and hazard rates.…”

Section: Introductionmentioning

confidence: 99%

The unit ratio-extended Weibull family and the dropout rate in Brazilian undergraduate courses

Peña-Ramírez,

Guerra,

Mafalda

2023

PLoS ONE

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We propose a new family of distributions, so-called the unit ratio-extended Weibull family (U R E W). It is derived from ratio transformation in an extended Weibull random variable. The use of this transformation is a novelty of the work since it has been less explored than the exponential and has not yet been studied within the extended Weibull class. Moreover, we offer a valuable alternative to model double-bounded variables on the unit interval. Five U R E W special models are studied in detail, namely the: i) unit ratio-Gompertz; ii) unit ratio-Burr XII; iii) unit ratio-Lomax; v) unit ratio-Rayleigh, and vi) unit ratio-Weibull distributions. We propose a quantile-parameterization for the new family. The maximum likelihood estimators (MLEs) are presented. A Monte Carlo study is performed to evaluate the behavior of the MLEs of unit ratio-Gompertz and unit ratio-Rayleigh distributions. This last model has closed-form and approximately unbiased MLE for small sample sizes. Further, the U R E W submodels are adjusted to the dropout rate in Brazilian undergraduate courses. We focus on the areas of civil engineering, economics, computer sciences, and control engineering. The applications show that the new family is suitable for modeling educational data and may provide effective alternatives compared to other usual unit models, such as the Beta, Kumaraswamy, and unit gamma distributions. They can also outperform some recent contributions in the unit distribution literature. Thus, the U R E W family can provide competitive alternatives when those models are unsuitable.

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Some parsimonious models for lifetimes and applications

Kavya

Manoharan

2021

Journal of Statistical Computation and Simulation

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The Nadarajah-Haghighi Lindley distribution

Cited by 5 publications

References 28 publications

Robust Assessment on the Developments of Three Extended Exponential Models with Some New Properties and Applications

Robust Assessment on the Developments of Three Extended Exponential Models with Some New Properties and Applications

The unit ratio-extended Weibull family and the dropout rate in Brazilian undergraduate courses

Some parsimonious models for lifetimes and applications

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