A flexible Weibull extension

Bebbington, Mark; Lai, C. D.; Zitikis, Ričardas

doi:10.1016/j.ress.2006.03.004

Cited by 267 publications

(118 citation statements)

References 26 publications

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“…The advantage of this distribution function is its ability to perform monotone modeling as well as non-monotone modeling. In Reference [39], the generalized two-parameter Weibull distribution function has been presented, and the authors have stated that proper results can be achieved by selecting the appropriate parameter values for the proposed distribution function. In Reference [40], also similar to other mentioned articles, a generalized three-parameter distribution function has been used to obtain the failure rate function; the results of that article showed that the introduced distribution function is more flexible than some other proposed functions.…”

Section: Failure Ratementioning

confidence: 99%

A Comparative Reliability Study of Three Fundamental Multilevel Inverters Using Two Different Approaches

2016

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Abstract:The reliability of power electronic devices and components is very important to manufacturers. In recent years, many researchers have conducted reliability assessments of power electronic devices, yet the reliability of numerous circuits used widely has not been evaluated. This paper presents a comprehensive reliability evaluation of fundamental multilevel inverters. The reliability of the multilevel inverters is analyzed by calculating the mean time to failure for each component. The calculation was performed by two methods (approximate and exact) to achieve better comparisons. The approximate method is similar to the parts count method used in MIL-HDBK-217 reliability standard, and the exact method exhibits the parts stress method. In the exact method, due to the direct relationship between component failure and temperature, we used Matlab Simulink to determine power losses in diodes and switches taking into account the temperature factor. The results determined by the approximate method showed that the three-level cascade H-bridge was the most reliable of the inverters considered. Although the exact method validates those results, and shows that cascade H-bridge (CHB) had a longer lifespan, but the calculated values are different. Therefore, using different approaches for evaluating reliability results in different outcomes.

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Section: Failure Ratementioning

confidence: 99%

A Comparative Reliability Study of Three Fundamental Multilevel Inverters Using Two Different Approaches

2016

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“…Xie, Tang, and Goh (2002) studied the modified Weibull extension. Bebbington, Lai, and Zitikis (2007) proposed a flexible Weibull 789 distribution and discussed its properties. For a review of some generalized Weibull distributions, one may refer to Lai (2014).…”

Section: Introductionmentioning

confidence: 99%

A Generalization of the Weibull Distribution with Applications

AlMheidat

Lee

Famoye³

2016

J. Mod. App. Stat. Meth.

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The Lomax-Weibull distribution, a generalization of the Weibull distribution, is characterized by four parameters that describe the shape and scale properties. The distribution is found to be unimodal or bimodal and it can be skewed to the right or left. Results for the non-central moments, limiting behavior, mean deviations, quantile function, and the mode(s) are obtained. The relationships between the parameters and the mean, variance, skewness, and kurtosis are provided. The method of maximum likelihood is proposed for estimating the distribution parameters. The applicability of this distribution to modeling real life data is illustrated by three examples and the results of comparisons to other distributions in modeling the data are also presented.

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“…A good review of some of these models is addressed by Pham and Lai (2007). Among these models, we point out the exponentiated Weibull (Mudholkar et al 1995(Mudholkar et al , 1996, additive Weibull (AW) (Xie and Lai 1995), XTG (Xie et al 2002), modified Weibull (MW) (Lai et al 2003), beta exponential (Nadarajah and Kotz 2006), BLZ (Bebbington et al 2007), generalized modified Weibull (GMW) (Carrasco et al 2008), beta modified Weibull (BMW) (Silva et al 2010a) and beta Weibull geometric (Cordeiro et al 2013) distributions.…”

Section: Introductionmentioning

confidence: 99%

An extended-G geometric family

2016

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We introduce and study the extended-G geometric family of distributions, which contains as special models some important distributions such as the XTG (Xie et al. 2002) geometric, Weibull geometric, Chen (Chen 2000) geometric, Gompertz geometric, among others. This family not only includes distributions with bathtub and unimodal failure rate functions but provides a broader class of monotone failure rates. Its density function can be expressed as a linear mixture of extended-G densities. We derive explicit expansions for the ordinary and incomplete moments, generating function, mean deviations and Rénvy entropy. The density of the order statistics can also be given as a linear mixture of extended-G densities. The model parameters are estimated by maximum likelihood. The potentiality of the new family is illustrated by means of an application to real data. MSC: 60E05, 62P10, 62P30

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A flexible Weibull extension

Cited by 267 publications

References 26 publications

A Comparative Reliability Study of Three Fundamental Multilevel Inverters Using Two Different Approaches

A Comparative Reliability Study of Three Fundamental Multilevel Inverters Using Two Different Approaches

A Generalization of the Weibull Distribution with Applications

An extended-G geometric family

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