An extension of Rayleigh distribution and applications

Ateeq, Kahkashan; Qasim, Tahira Bano; Alvi, Ayesha Rehman

doi:10.1080/25742558.2019.1622191

Cited by 24 publications

(10 citation statements)

References 20 publications

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“…The moment generating function for a continuous random variable 𝑋 is defined by 34) By substituting the 𝐸(𝑋 𝑠 ) in ( 28) into (34), the desired result for the proof was obtained.…”

Section: Proofmentioning

confidence: 99%

“…This dataset from Lee and Wang [32] is the remission (in months) of a random sample of 128 patients with bladder cancer. It has been widely applied by notable researchers to test the performance of many newly developed convoluted probability distributions including Salem [13], Elbatal et al [33], Ateeq et al [34], leren et al [17] using PG, and most recently by Ogunde et al [28] using GGTT. The GEP distribution is applied to the data and compared with EP, EEP, KEP, GGTT, GoIE, GoLom and the (PG) Power Gompertz distributions.…”

Section: Application To Bladder Cancer Datamentioning

confidence: 99%

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The gompertz exponential pareto distribution with the properties and applications to bladder cancer and hydrological datasets

Adeyemi

Akarawak

Adeleke

2021

CST

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Many existing distributions in literatures does not have the modeling fits capacity to adequately describe the real-life phenomena. The Exponential Pareto (EP) distribution has further gained some generalizations among several authors using different generator techniques with an aim to obtain a new distribution with greater flexibility. This article proposes Gompertz Exponential Pareto (GEP) distribution using the Gompertz generator. Findings from the study revealed some lifetime distributions as special cases and mathematical properties of the distribution investigated including the mean, variance, coefficient of variation, quantile, moment, moment generating function and, order statistics. The distribution can be positively or negatively skewed. It is unimodal with failure rates whose shapes could be reversed J bathtub, constant, decreasing and, increasing and the parameters were estimated using maximum likelihood estimation approach. Applications to two real-life datasets revealed the ability of GEP distribution to provide more flexibilities and better fit to the dataset compared to some previously proposed distributions for the data. The results also revealed that GEP had the superior performance over other generalizations of EP distribution existing in literatures and the performance has further strengthened the usefulness of the Gompertz-generator technique.

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Section: Proofmentioning

confidence: 99%

Section: Application To Bladder Cancer Datamentioning

confidence: 99%

The gompertz exponential pareto distribution with the properties and applications to bladder cancer and hydrological datasets

Adeyemi

Akarawak

Adeleke

2021

CST

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“…This distribution finds its significance in numerous disciplines such as Physical Science, Engineering, Medical Sciences, and so on. For instance An extension of Rayleigh distribution and its properties by Kahkashan Ateeq, Tahira Bano Qasim and Ayesha Rehman Alvi [1], A generalized Rayleigh distribution and its applications by Lishamol Tomy and jiju Gillariose [2], Odd Lindley-Rayleigh distribution by Terna Godfrey Ieren [3], New generalization of Rayleigh distribution by A.A Bhat et al [4], Top-Leone power Rayleigh distribution with properties and application related in engineering sciences by Aijaz et al [5], Alpha-Power Exponentiated Inverse Rayleigh Distribution and its applications to real and simulated data(2021).…”

Section: Original Research Articlementioning

confidence: 99%

A New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data

Jallal

Ahmad

Tripathi

2021

AJPAS

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In this study a new generalisation of Rayleigh Distribution has been studied and referred it is as “A New Two-Parametric Maxwell-Rayleigh Distribution”. This distribution is obtained by adopting T-X family procedure. Several distributional properties of the formulated distribution including moments, moment generating function, Characteristics function and incomplete moments have been discussed. The expressions for ageing properties have been derived and discussed explicitly. The behaviour of the pdf and Hazard rate function has been illustrated through different graphs. The parameters are estimated through the technique of MLE. Eventually the versatility and the efficacy of the formulated distribution have been examined through real life data sets related to engineering science.

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“…With regard to this significance and the desire to give this distribution greater versatility, several researchers have proposed extensions to the Rayleigh distribution. This includes Odd Lindley-Rayleigh distribution by [16], Lomax-Rayleigh distribution by [4], Rayleigh-Rayleigh distribution by [6], an extension of Rayleigh distribution by [10], Weibull Rayleigh by [21], Transmuted Rayleigh by [19], New generalized Rayleigh distribution by [25], Generalized Rayleigh distribution by [17], among others.…”

Section: The Rayleigh Distributionmentioning

confidence: 99%

Inverse Lomax-Rayleigh distribution with application

Falgore

Isah

Abdulsalam

2021

Heliyon

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In this paper, an extension of Rayleigh distribution called Inverse Lomax Rayleigh (ILR) is proposed by using the Inverse Lomax generator of [13]. Properties of ILR were derived. This includes the complete and incomplete moments, entropy, distribution of order statistics, and quantile function. A simulation study was presented to explore the properties of the estimates. This shows that they are unbiased, consistent, and efficient. An application to fatigue data shows the flexibility of ILR distribution, as it outperforms all the comparators with minimum values of all the measures.

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An extension of Rayleigh distribution and applications

Cited by 24 publications

References 20 publications

The gompertz exponential pareto distribution with the properties and applications to bladder cancer and hydrological datasets

The gompertz exponential pareto distribution with the properties and applications to bladder cancer and hydrological datasets

A New Two-Parametric Maxwell-Rayleigh Distribution: Application to the Analysis of Engineering Data

Inverse Lomax-Rayleigh distribution with application

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