On a generalized mixture distribution

Nakhi, Y. Ben; Kalla, S. L.

doi:10.1016/j.amc.2004.09.071

Cited by 4 publications

(2 citation statements)

References 7 publications

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“…Finite Weibull mixture distributions were employed in the reliability approximation of Bucar et al [6]. Ben Nakhi and Kalla [2] introduced hyper Poisson distribution-generalized gamma mixes.…”

Section: Introductionmentioning

confidence: 99%

Statistical Properties of a Generalization Erlang Truncated Exponential Distribution with Applications and Its Bivariate Extension

Abdelall

2024

Computational Journal of Mathematical and Statistical Sciences

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Using power exponentiated family, this paper introduces the New Power Exponentiated Erlang-Truncated Exponential distribution as a new generalization of the Erlang-Truncated Exponential distribution. The suggested distribution has constant and increasing shapes for hazard rate function. Numerous structural characteristics are derived, including quantile function, moments, moment generating function, behavior of hazard, reversed hazard and cumulative hazard functions, entropy measures, stochastic ordering, and order statistics. The model parameters are estimated by maximum likelihood, Cramer von Mises, and Percentiles estimation methods. A numerical study is performed using simulated data to examine performance of the different estimators with varying sample size. The flexibility and potentiality of proposed model and some existing models are examined using two actual data sets and some criteria for model selection and goodness of fit test statistics. Finally, a bivariate extension of the suggested distribution called the bivariate new power exponentiated erlang-truncated exponential distribution was introduced. The recommended bivariate distribution is of type Farlie-Gumbel-Morgenstern copula. The proposed distribution has joint probability density function, the joint cumulative function, and joint survival function. In addition, Some statistical properties of the distribution are also obtained.

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Section: Introductionmentioning

confidence: 99%

Statistical Properties of a Generalization Erlang Truncated Exponential Distribution with Applications and Its Bivariate Extension

Abdelall

2024

Computational Journal of Mathematical and Statistical Sciences

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“…Without characterizing the system, Bucar et al [ 5 ] demonstrated that the reliability of this system could be approximated by utilizing a finite Weibull mixture distribution. Nakhi and Kalla [ 6 ] discussed the mixture of hyper-Poisson distribution with mixing a generalized gamma distribution and hyper-Poisson distribution generalized gamma mixtures.…”

Section: Introductionmentioning

confidence: 99%

A Flexible Extension of Pareto Distribution: Properties and Applications

Alshanbari

El-Bagoury

Gemeay

et al. 2021

Computational Intelligence and Neuroscience

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This paper introduced a relatively new mixture distribution that results from a mixture of Fréchet–Weibull and Pareto distributions. Some properties of the new statistical model were derived, such as moments with their related measures, moment generating function, mean residual life function, and mean deviation. Furthermore , different estimation methods were introduced for determining the unknown parameters of the proposed model. Finally, we introduced three real data sets which were applied to our distribution and compared them with other well-known statistical competitive models to show the superiority of our model for fitting the three real data sets, and we can clearly see that our distribution outperforms its competitors. Also, to verify our results, we carried out the existence and uniqueness test to the log-likelihood to determine whether the roots are global maximum or not.

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On a unified mixture distribution

Saxena

Kalla

2006

Applied Mathematics and Computation

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On a generalized mixture distribution

Cited by 4 publications

References 7 publications

Statistical Properties of a Generalization Erlang Truncated Exponential Distribution with Applications and Its Bivariate Extension

Statistical Properties of a Generalization Erlang Truncated Exponential Distribution with Applications and Its Bivariate Extension

A Flexible Extension of Pareto Distribution: Properties and Applications

On a unified mixture distribution

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