Marshall-Olkin Extended Burr Type XII Distribution

Al-Saiari, Arwa Y.; Baharith, Lamya A.; Mousa, Salwa A.

doi:10.5539/ijsp.v3n1p78

Cited by 39 publications

(43 citation statements)

References 14 publications

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“…where ,c and k > 0 [2]. Note that the MOEBXII distribution is an extended model to analyze more complex data and it generalizes some of the distributions.…”

Section: Marshall-olkin Extended Burr XII Distributionmentioning

confidence: 99%

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Robust parameter estimation for the Marshall-Olkin extended Burr XII distribution

Güney¹,

Arslan²

2017

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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Abstract. In this paper, we consider the parameter estimation of the MarshallOlkin extended Burr XII (MOEBXII) distribution, which is a generalization of the Burr XII distribution. For the estimation of the parameters in the MOEBXII, maximum likelihood (ML) is available. However, this is not robust estimator. In this paper we proposed a robust estimator based on M estimation method to estimate the parameters of the MOEBXII distribution. We perform a small simulation study to illustrate the performance of proposed method. We also reanalyze two data sets to asses the capability of the robust estimators over the ML and LS estimators.

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“…where ,c and k > 0 [2]. Note that the MOEBXII distribution is an extended model to analyze more complex data and it generalizes some of the distributions.…”

Section: Marshall-olkin Extended Burr XII Distributionmentioning

confidence: 99%

“…However, there is not much work for MOEBXII distribution. The parameters of MOEBXII distribution was estimated by using ML estimation method by [2]. However, it is well established that in the presence of outliers in the data, the traditional methods do not provide reliable estimations.…”

Section: Introductionmentioning

confidence: 99%

Robust parameter estimation for the Marshall-Olkin extended Burr XII distribution

Güney¹,

Arslan²

2017

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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“…For further properties and the domain of applicability of M-OEBXII distribution, we refer the interested reader to Al-Saiari et al (2014). The presentation of the content of this work is as follows.…”

Section: Introductionmentioning

confidence: 99%

“…In this short note, several characterizations of Marshall-Olkin Power Log-Normal (M-OPLN) distribution, G.G. Hamedani (gholamhoss.hamedani@marquette.edu) introduced by Gui (2013), and Marshall-Olkin Extended Burr Type XII (M-OEBXII) distribution, introduced by Al-Saiari et al (2014), are presented in two directions. These characterizations are based on: (i) a simple relationship between two truncated moments; (ii) the hazard function.…”

Section: Introductionmentioning

confidence: 99%

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Characterizations of Certain Marshall-Olkin Generalized Distributions

Hamedani

2017

JIRSS

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Properties and estimation approaches of the odd JCA family with applications

Iqbal

Alfaer

Tahir

et al. 2022

Concurrency and Computation

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Summary In this article, we study a new generator of distributions called the odd JCA‐G family. We determine the main mathematical properties of the new family. Some special submodels of the odd JCA‐G family are presented. The special models of the JCA‐G family have tractable densities shapes which possess various kinds of asymmetric, reversed‐J, left‐skewed, right‐skewed, symmetrical shapes. Furthermore, special submodels exhibit flexible hazard rate shapes. Additionally, the parameters of the odd JCA Burr‐XII model are estimated using some classical estimation approaches. The performance and efficiency of these approaches are explored via numerical simulations. The applicability of the odd JCA‐G family is illustrated by fitting two real‐life datasets. The data analysis shows that the odd JCA Burr‐XII model outperforms some well‐known distributions for the selected data.

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Marshall-Olkin Extended Burr Type XII Distribution

Cited by 39 publications

References 14 publications

Robust parameter estimation for the Marshall-Olkin extended Burr XII distribution

Robust parameter estimation for the Marshall-Olkin extended Burr XII distribution

Characterizations of Certain Marshall-Olkin Generalized Distributions

Properties and estimation approaches of the odd JCA family with applications

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