The beta generalized Gompertz distribution

Benkhelifa, Lazhar

doi:10.1016/j.apm.2017.06.021

Cited by 17 publications

(11 citation statements)

References 33 publications

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“…x 0 t a−1 (1 − t) b−1 dt, x ∈ [0, 1]. This distribution has been recently extended by Benkhelifa [6] with a five-parameter distribution. It is based on the beta generator and the generalized Gompertz distribution.…”

Section: Introductionmentioning

confidence: 95%

The Modified Beta Gompertz Distribution: Theory and Applications

et al. 2018

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In this paper, we introduce a new continuous probability distribution with five parameters called the modified beta Gompertz distribution. It is derived from the modified beta generator proposed by Nadarajah, Teimouri and Shih (2014) and the Gompertz distribution. By investigating its mathematical and practical aspects, we prove that it is quite flexible and can be used effectively in modeling a wide variety of real phenomena. Among others, we provide useful expansions of crucial functions, quantile function, moments, incomplete moments, moment generating function, entropies and order statistics. We explore the estimation of the model parameters by the obtained maximum likelihood method. We also present a simulation study testing the validity of maximum likelihood estimators. Finally, we illustrate the flexibility of the distribution by the consideration of two real datasets.

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Section: Introductionmentioning

confidence: 95%

The Modified Beta Gompertz Distribution: Theory and Applications

et al. 2018

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“…The growth preference can also be a nonlinear function. Modelling human mortality an exponentially increasing rate has been considered by Benjamin Gompertz [32,33]. For µ(x) = σe bx eq.…”

Section: Continuous State Spacementioning

confidence: 99%

Unidirectional random growth with resetting

Bı́ró

Néda

2018

Physica A: Statistical Mechanics and its Applications

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We review and classify stochastic processes without detailed balance condition. We obtain stationary distributions and investigate their stability in terms of generalized entropic distances beyond the Kullback-Leibler formula. A simple stochastic model with local growth rates and direct resetting to the ground state is investigated and applied to various networks, scientific citations and Facebook popularity, hadronic yields in high energy particle reactions, income and wealth distributions, biodiversity and settlement size distributions.

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“…Ali et al (2014) proposed the beta Gompertz distribution with flexibility shown in the increasing, decreasing and bathtub shape properties of the hazard rate function. Benkhelifa (2017) proposed the beta generalized Gompertz distribution whose hazard rate function has constant, increasing, decreasing or bathtub curve shape. The Modified beta Gompertz distribution α=3.0, β=0.700, θ=0.10 α=8.0, β=0.008, θ=0.50 α=0.5, β=0.300, θ=0.70 α=0.3, β=0.600, θ=10.0 α=1.0, β=2.500, θ=3.00 α=0.5, β=1.000, θ=20.0 The corresponding probability density function is obtained by substituting Equation (2) into Equation (6) as;…”

Section: Introductionmentioning

confidence: 99%

Topp-Leone Gompertz Distribution: Properties and Applications

Nzei¹,

Eghwerido²,

Ekhosuehi³

2021

Journal of Data Science

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This paper proposes the Topp-Leone Gompertz distribution; an extension of the Gompertz distribution for modeling real life time data. The new model is obtained by transforming the cumulative distribution function of the Gompertz random variable, while taking the Topp-Leone as the generator. Some statistical properties of the new distribution are derived. Maximum likelihood estimates of model parameters are also derived. A Monte Carlo simulation study is carried out to examine the accuracy of the maximum likelihood estimate of the distribution parameters. Two real data sets are used to illustrate the applicability of the new distribution, and the results show that the new distribution outperforms some related lifetime distributions.

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The beta generalized Gompertz distribution

Cited by 17 publications

References 33 publications

The Modified Beta Gompertz Distribution: Theory and Applications

The Modified Beta Gompertz Distribution: Theory and Applications

Unidirectional random growth with resetting

Topp-Leone Gompertz Distribution: Properties and Applications

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