The Exponentiated Burr XII Power Series Distribution: Properties and Applications

Nasir, Arslan; Yousof, Haitham M.; Jamal, Farrukh; Korkmaz, Mustafa Ç.

doi:10.3390/stats2010002

Cited by 16 publications

(10 citation statements)

References 21 publications

(22 reference statements)

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“…Also, using the GenSA package in R, the initial values of the parameters of the fitted models used for the optimisation are obtained. The performance of the HMBXII distribution is compared with nine (9) modifications of the Burr XII distribution which include the Marshall-Olkin exponentiated Burr XII distribution (MOEBXII) [2], the exponentiated Burr XII Poisson distribution (EBXIIP) [22], the Marshall-Olkin generalised Burr XII distribution (MOGBXII) [3], the Weibull Burr XII distribution (WBXII) [6], the Kumaraswamy exponentiated Burr XII distribution (KEBXII) [5], the Kumaraswamy Burr XII distribution (KWBXII) [7], the study on an extension to Lindley distribution [9] the exponentiated Exponential Burr XII distribution (EEBXII) [10], the Gompertz-modified Burr XII distribution (GMBXII) [13] and the odd exponentiated half-logistic Burr XII distribution (OEHLBXII) [14]. The Kolmogorov-Smirnov(K-S), Anderson-Darling(AD) and Cramér-von Mises (CVM) tests were used to evaluate the goodness-of-fit of the distributions fitted to the data.…”

Section: Applicationsmentioning

confidence: 99%

On the Extension of the Burr XII Distribution: Applications and Regression

Ocloo

Brew

NASIRU³

et al. 2023

Computational Journal of Mathematical and Statistical Sciences

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In this paper, we introduce a new four-parameter mixture distribution called the Harmonic Mixture Burr XII distribution. The proposed model can be used to model data which exhibit bimodal shapes or are heavy-tailed. Specific properties like non-central and incomplete moments, quantile function, entropy, mean and median deviation, mean residual life, moment generating function, and stressstrength reliability are derived. Maximum likelihood estimation, ordinary least squares estimation, weighted least squares estimation, Cramér-von Mises estimation, and Anderson-Darling estimation methods were used to estimate the parameters of the distribution. Simulation studies was performed to assess the estimators and the maximum likelihood estimation was adjudged the best estimator. Using three sets of lifetime data, the empirical importance of the new distribution was determined. When compared to nine (9) extensions of the Burr XII distribution, it was clear that the proposed distribution fit the data better. Using the proposed model, a log-linear regression model called the log-harmonic mixture Burr XII is proposed.

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Section: Applicationsmentioning

confidence: 99%

On the Extension of the Burr XII Distribution: Applications and Regression

Ocloo

Brew

NASIRU³

et al. 2023

Computational Journal of Mathematical and Statistical Sciences

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“…Defensible data require the use of a model that is su ciently tted within its framework (see Dutta and Perry [15]). Many researchers have adopted new families of distributions (see Ahmad et al [16], Ahmad et al [17], Nasir et al [18], Jamal and Nasir [19], Al-Mo eh [20], A fy et al [21], A fy and Alizadeh [22], and Cordeiro et al [23]). In this article, the new method of generalized U-family is used to propose an extended class of statistical models.…”

Section: Introductionmentioning

confidence: 99%

A New Generalized Modified Weibull Model: Simulating and Modeling the Dynamics of the COVID-19 Pandemic in Saudi Arabia and Egypt

Emam

Tashkandy

2022

Mathematical Problems in Engineering

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The flare-up of coronavirus disease 2019 (COVID-19) was first identified in China and then spread worldwide. The concerning articles are significant because of their increasing average infection rate. The exact scientific anatomy of this circumstance remains to be discussed. Nevertheless, it is important for governments and all responsible organizations to have sound statistics and analysis to decide on possible necessary actions. This article compares the dynamics of the COVID-19 pandemic between Saudi Arabia and Egypt. We provide an appropriate process of convergence of facts that can be useful for both administrations to implement appropriate quarantine procedures. In addition, the new generalized modified Weibull distribution is provided to provide the preferred description about COVID-19 total cases, daily new cases, total deaths, and daily death statistics of Saudi Arabia and Egypt.

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“…Hassan et al [7] discussed exponentiated Lomax distribution and its properties. Nasir et al [8] obtained the exponentiated Burr XII power series distribution with properties and its applications. Pal et al (2006) studied the exponentiated Weibull family as an extension of Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

Exponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation

Rahman

Roy

2021

AJPAS

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In this paper, a new kind of distribution has suggested with the concept of exponentiate. The reliability analysis including survival function, hazard rate function, reverse hazard rate function and mills ratio has been studied here. Its quantile function and order statistics are also included. Parameters of the distribution are estimated by the method of Maximum Likelihood estimation method along with Fisher information matrix and confidence intervals have also been given. The application has been discussed with the 30 years temperature data of Silchar city, Assam, India. The goodness of fit of the proposed distribution has been compared with Frechet distribution and as a result, for all 12 months, the proposed distribution fits better than the Frechet distribution.

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The Exponentiated Burr XII Power Series Distribution: Properties and Applications

Cited by 16 publications

References 21 publications

On the Extension of the Burr XII Distribution: Applications and Regression

On the Extension of the Burr XII Distribution: Applications and Regression

A New Generalized Modified Weibull Model: Simulating and Modeling the Dynamics of the COVID-19 Pandemic in Saudi Arabia and Egypt

Exponentiated Frechet Distribution with Application in Temperature of Assam, India Overview with New Properties and Estimation

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