The Beta Generalized Weibull distribution: Properties and applications

Singla, Neetu; Jain, Kanchan; Sharma, Suresh

doi:10.1016/j.ress.2012.02.003

Cited by 80 publications

(33 citation statements)

References 32 publications

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“…In recent years, the class of beta-G (BG) distributions has received much attention in the literature. For instance, Cordeiro et al (2013a) and Singla et al (2012) considered the beta exponentiated (generalized) Weibull distribution and investigated its properties and application. Cordeiro and Lemonte (2011a) and (2011b) studied the beta Laplace and beta-half-Cauchy distributions, respectively.…”

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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Section: Introductionmentioning

confidence: 99%

The Beta-Rayleigh Distribution on the Lattice of Integers

Nekoukhou¹

2016

JSRI

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“…Non-monotonic failure -observing the bath tub curve, (2). Monotonic failure; in predicting the failure rate [21,28].…”

Section: Introductionmentioning

confidence: 99%

Reliability analysis and prediction for time to failure distribution of an automobile crankshaft

Singh

Abdullah

Mohamed

2015

EiN

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“…The five parameter modified Weibull distribution include those introduced by (Phani 1987), beta modified Weibull by (Silva, Ortega, and Cordeiro 2010) and (Nadarajah, Cordeiro, and Ortega 2011). Additional results on the generalization of the Weibull distribution include work by (Singha, Jain, and Kumar 2012), as well as (Almalki and Yuan 2013) where results on a new modified Weibull distribution was presented. (Barlow and Campo 1975) discussed total time on test processes with application to failure data analysis.…”

Section: Introductionmentioning

confidence: 99%

A New Class of Generalized Modified Weibull Distribution with Applications

Oluyede

Huang²,

Yang³

2015

AJS

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A new five parameter gamma-generalized modified Weibull (GGMW) distribution which includes exponential, Rayleigh, Weibull, modified Weibull, gamma-modified Weibull, gamma-modified Rayleigh, gamma-modified exponential, gamma-Weibull, gamma-Rayleigh, gamma-linear failure rate and gamma-exponential distributions as special cases is proposed and studied. Some mathematical properties of the new class of distributions including hazard function, quantile function, moments, distribution of the order statistics and Rényi entropy are presented. Maximum likelihood estimation technique is used to estimate the model parameters and applications to real datasets in order to illustrate the usefulness of the proposed class of models are presented.

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The Beta Generalized Weibull distribution: Properties and applications

Cited by 80 publications

References 32 publications

The Beta-Rayleigh Distribution on the Lattice of Integers

The Beta-Rayleigh Distribution on the Lattice of Integers

Reliability analysis and prediction for time to failure distribution of an automobile crankshaft

A New Class of Generalized Modified Weibull Distribution with Applications

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