The beta generalized Rayleigh distribution with applications to lifetime data

Cordeiro, Gauss M.; Cristino, Cláudio Tadeu; Hashimoto, Elizabeth M.; Ortega, Edwin M. M.

doi:10.1007/s00362-011-0415-0

Cited by 48 publications

(31 citation statements)

References 22 publications

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“…Taking δ = 0 and λ = 2, then the BEMW distribution in (6) converts to a BGR distribution, which is due to Cordeiro et al [30]. The obtained pd f in the form of the BGR distribution is given by…”

Section: Beta Generalized Rayleigh (Bgr) Distributionmentioning

confidence: 99%

Beta Exponentiated Modified Weibull Distribution: Properties and Application

2019

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One of the most prominent statistical distributions is the Weibull distribution. The recent modifications in this distribution have enhanced its application but only in specific fields. To introduce a more generalized Weibull distribution, in this work beta exponentiated modified Weibull distribution is established. This distribution consolidate the exponential, skewed and symmetric shapes into one density. The proposed distribution also contains nineteen lifetime distributions as a special case, which shows the flexibility of the distribution. The statistical properties of the proposed model are derived and discussed, including reliability analysis and order statistics. The hazard function of the proposed distribution can have a unimodal, decreasing, bathtub, upside-down bathtub, and increasing shape that make it effective in reliability analysis. The parameters of the proposed model are evaluated by maximum likelihood and least squares estimation methods. The significance of the beta exponentiated modified Weibull distribution for modeling is illustrated by the study of real data. The numerical study indicates that the new proposed distribution gives better results than other comparable distributions.

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Section: Beta Generalized Rayleigh (Bgr) Distributionmentioning

confidence: 99%

Beta Exponentiated Modified Weibull Distribution: Properties and Application

2019

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“…Morais et al (2013) considered the beta generalized logistic distribution and investigated some of its important properties and features. Cordeiro et al (2013b) introduced the beta generalized Rayleigh distribution and considered its applications to lifetime data. Cordeiro et al (2013c) and Bidram et al (2013) introduced the beta Weibull-geometric distribution.…”

Section: Introductionmentioning

confidence: 99%

The Beta-Rayleigh Distribution on the Lattice of Integers

Nekoukhou¹

2016

JSRI

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Abstract. In this paper, a discrete analog of the beta-Rayleigh distribution is studied. This new distribution contains the generalized discrete Rayleigh and discrete Rayleigh distributions as special sub-models. Some distributional and moment properties of the new discrete distribution as well as its order statistics are discussed. We will see that the hazard rate function of the new model can be increasing, bathtub-shaped and upside-down bathtub. Estimation of the parameters is illustrated and, finally, the model with a real data set is examined.

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“…Recently, Barreto-Souza et al [6] proposed the betageneralized exponential distribution, Pescim et al [7] introduced the beta-generalized half-normal distribution, and Cordeiro et al [8] defined the beta-generalized Rayleigh distribution with applications to lifetime data.…”

Section: Introductionmentioning

confidence: 99%

The Beta-Lindley Distribution: Properties and Applications

Merovci

Sharma

2014

Journal of Applied Mathematics

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We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and therth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, andrth moment of the order statistics also are obtained. Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup. The usefulness of the new model is illustrated by means of two real data sets. We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas.

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The beta generalized Rayleigh distribution with applications to lifetime data

Cited by 48 publications

References 22 publications

Beta Exponentiated Modified Weibull Distribution: Properties and Application

Beta Exponentiated Modified Weibull Distribution: Properties and Application

The Beta-Rayleigh Distribution on the Lattice of Integers

The Beta-Lindley Distribution: Properties and Applications

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