T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function

Ekum, Matthew Iwada; Adamu, Muminu O.; Akarawak, Eno E. E.

doi:10.1155/2020/1641207

Cited by 11 publications

(5 citation statements)

References 30 publications

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“…More so, many known convoluted continuous probability distributions stress strength reliability parameter using MLE have not been estimated. Ekum et al [14] derived the stress-strength reliability of exponentiated-exponential-Dagum distribution and obtain a closed form for it.…”

Section: Original Research Articlementioning

confidence: 99%

On the Estimation of Stress Strength Reliability Parameter of Weibull-Rayleigh Distribution

Akarawak

Ekum

Oyeyemi

2022

AJPAS

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The reliability of a component depends on the stress conditions of the operating environment, which are uncertainty and should be modeled as random. This article deals with the estimation of the stress-strength reliability parameter of Weibull-Rayleigh distribution. Let X and Y be two independent random variables, where X and Y follow Weibull-Rayleigh distribution. The maximum likelihood estimator and the approximate maximum likelihood estimator of the stress-strength reliability are obtained. Other properties of the Weibull-Rayleigh distributions are derived. Two real data applications are given for showing the flexibility of the Weibull-Rayleigh stress-strength reliability.

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Section: Original Research Articlementioning

confidence: 99%

On the Estimation of Stress Strength Reliability Parameter of Weibull-Rayleigh Distribution

Akarawak

Ekum

Oyeyemi

2022

AJPAS

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“…According to [18], to have a reduced form of the moment, we set = = 0, the mean in ( 46) is then reduced to…”

Section: The Momentmentioning

confidence: 99%

A New Three-Parameter Weibull Inverse Rayleigh Distribution: Theoretical Development and Applications

Ogunsanya¹,

Yahya²,

Adegoke³

et al. 2021

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In this work, a three-parameter Weibull Inverse Rayleigh (WIR) distribution is proposed. The new WIR distribution is an extension of a one-parameter Inverse Rayleigh distribution that incorporated a transformation of the Weibull distribution and Log-logistic as quantile function. The statistical properties such as quantile function, order statistic, monotone likelihood ratio property, hazard, reverse hazard functions, moments, skewness, kurtosis, and linear representation of the new proposed distribution were studied theoretically. The maximum likelihood estimators cannot be derived in an explicit form. So we employed the iterative procedure called Newton Raphson method to obtain the maximum likelihood estimators. The Bayes estimators for the scale and shape parameters for the WIR distribution under squared error, Linex, and Entropy loss functions are provided. The Bayes estimators cannot be obtained explicitly. Hence we adopted a numerical approximation method known as Lindley's approximation in other to obtain the Bayes estimators. Simulation procedures were adopted to see the effectiveness of different estimators. The applications of the new WIR distribution were demonstrated on three real-life data sets. Further results showed that the new WIR distribution performed credibly well when compared with five of the related existing skewed distributions. It was observed that the Bayesian estimates derived performs better than the classical method.

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“…Shahzad and Asghar [5] proposed the Transmuted Dagum distribution. Other distributions includes the beta-dagum distributions [6], MC-Dagum distribution [7], Gamma-Dagum distribution [8], Weighted Dagum distribution [9], Eponentiated Kumaraswamy-Dagum distribution [10], Dagum-poisson distribution [11], Exponentiated generalized exponential Dagum distribution [12], Power log-Dagum distribution [13], exponentiated exponential-Dagum{Lomax} distribution [14].…”

Section: Original Research Articlementioning

confidence: 99%

The Zubair-dagum Distribution

Uwaeme¹,

Akpan²

2021

AJPAS

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This article examines the flexibility of the Zubair-G family of distribution using the Dagum distribution. The proposed distribution is called the Zubair-Dagum distribution. The various mathematical properties of this distribution such as the Quantile function, Moments, Moment generating function, Reliability analysis, Entropy and Order statistics were obtained. The parameter estimates of the proposed distribution were also derived and estimated using the maximum likelihood estimation method. The new distribution is right skewed and has various bathtub and monotonically decreasing shapes. Our numerical illustrations using two real-life datasets substantiate the applicability, flexibility and superiority of the proposed distribution over competing distributions.

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T-Dagum: A Way of Generalizing Dagum Distribution Using Lomax Quantile Function

Cited by 11 publications

References 30 publications

On the Estimation of Stress Strength Reliability Parameter of Weibull-Rayleigh Distribution

On the Estimation of Stress Strength Reliability Parameter of Weibull-Rayleigh Distribution

A New Three-Parameter Weibull Inverse Rayleigh Distribution: Theoretical Development and Applications

The Zubair-dagum Distribution

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