Goodness-of-Fit Tests for the Power-Generalized Weibull Probability Distribution

Voinov, Vassilly; Pya, Natalya; Shapakov, Niyaz; Voinov, Yevgeniy

doi:10.1080/03610918.2011.654031

Cited by 11 publications

(8 citation statements)

References 8 publications

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“…Voinov et al [68] proposed modified goodness-of-fit tests based on the maximum likelihood of PGW parameters and, through Monte Carlo simulation, showed that power of the tests of the PGW model (cited reference of Bagdonavicȋos and Nikulin [2]) is better than two-parameter Weibull, three-parameter Weibull, and generalized Weibull models. Kumar and Dey [69] developed the recurrence relation for the single and product moments of order statistics from the PGW model and stated that this model is actually due to Bagdonavicȋos and Nikulin [2].…”

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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“…Bagdonovicius and Nikulin (2002) proposed the PGW distribution, which was further studied by Nikulin and Haghighi (2006), Alloyarova et al (2007), Nikulin and Haghighi (2009), Bagdonavicius and Nikulin (2011), Voinov et al (2013) and Mohie EL-Din et al (2015). Nikulin and Haghighi (2006) proposed chi-squared type statistic to test the validity of the Power Generalized Weibull family based on Head-and-Neck cancer censored data.…”

Section: Introductionmentioning

confidence: 96%

Power generalized Weibull distribution based on order statistics

Kumar

Dey²

2017

JSR

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In this article, we establish recurrence relations for the single and product moments of order statistics from the power generalized Weibull (PGW) distribution due to Bagdonovacius and Nikulin (2002). These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we have obtained the means, variances and covariances of order statistics from samples of sizes up to 5 for various values of the shape and scale parameters and present them in figures.

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“…Bagdonovacius and Nikulin (2002) proposed the PGW distribution, which was further studied by Haghighi and Nikulin (2006), Alloyarova et al (2007), Nikulin and Haghighi (2009) and Voinov et al (2013). Haghighi and Nikulin (2004) proposed chi-squared type statistic to test the validity of the Power Generalized Weibull family based on Head-and-Neck cancer censored data.…”

Section: Introductionmentioning

confidence: 99%

“…The result follows by using equation (6.455.1) inGradshteyn and Ryzhik (2007) to calculate the integral in(25).…”

mentioning

confidence: 99%

Power Generalized Weibull Distribution Based on Generalised Order Statistics

Kumar¹,

Jain²

2021

Journal of Data Science

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The power generalized Weibull distribution due to Bagdonovacius and Nikulin (2002) is an alternative,and always provides better fits than the exponentiated Weibull family for modeling lifetime data. In this paper, we consider the generalized order statistics (GOS) from this distribution. We obtain exact explicit expressions as well as recurrence relations for the single, product and conditional moments of generalized order statistics from the power generalized Weibull distribution and then we use these results to compute the means and variances of order statistics and record values for samples of different sizes for various values of the shape and scale parameters.

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Goodness-of-Fit Tests for the Power-Generalized Weibull Probability Distribution

Cited by 11 publications

References 8 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

Power generalized Weibull distribution based on order statistics

Power Generalized Weibull Distribution Based on Generalised Order Statistics

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