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Association of Arab Universities

2017

Moments

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Transmuted Janardan Distribution: A Generalization Of The Janardan Distribution, Amer Ibrahim Al-Omari, Ahmed M. H. Al-Khazaleh, Loai M. Alzoubi Jul 2017

Transmuted Janardan Distribution: A Generalization Of The Janardan Distribution, Amer Ibrahim Al-Omari, Ahmed M. H. Al-Khazaleh, Loai M. Alzoubi

Journal of Statistics Applications & Probability

In this paper, a continuous distribution so-called transmuted Janardan distribution (TJD) is suggested and studied. The quadratic rank transmutation map suggested by Shaw and Buckley (2009) is used in generating the TJD. Various structural properties of the TJD including explicit expressions for the reliability and hazard rate functions, order statistics, the rth moment and the moment generating function are derived. Also, the skewness, kurtosis, coefficient of variation are derived and calculated for some values of the TJD parameters. The maximum likelihood method is used to estimate the unknown parameters of the TJD for complete sample and the entropy is studied …


The Odd Burr-Iii Family Of Distributions, Farrukh Jamal, M. Arslan Nasir, M. H. Tahir, Narges H. Montazeri Mar 2017

The Odd Burr-Iii Family Of Distributions, Farrukh Jamal, M. Arslan Nasir, M. H. Tahir, Narges H. Montazeri

Journal of Statistics Applications & Probability

In this article, we propose a new family of distributions called odd Burr-III family of distributions generated from the logit of Burr-III random variable. We display density and hazard rate plots of four special distributions of this new family and found it very flexible with respect to density and hazard rate shapes. The family density can also be expressed as a linear combination of exponentiated-G densities of the baseline distribution. We obtain some mathematical properties of this new family such as quantile function, moments and incomplete moments, moment generating function, mean deviations, Shannon entropy, stress-strength reliability and the density of …


The Odd Generalized Exponential Generalized Linear Exponential Distribution, Albert Luguterah, Suleman Nasiru Mar 2017

The Odd Generalized Exponential Generalized Linear Exponential Distribution, Albert Luguterah, Suleman Nasiru

Journal of Statistics Applications & Probability

In this article, a new generalization of the Generalized Linear Exponential distribution called the odd generalized exponential generalized linear exponential distribution is proposed. The mathematical properties, including moments and order statistics, have been derived. An application of the model to real data sets revealed that the new model can be used to provide a better fit than its sub-models


Exponentiated Inverse Flexible Weibull Extension Distribution, M. El-Morshedy, A. H. El-Bassiouny, A. El-Gohary Mar 2017

Exponentiated Inverse Flexible Weibull Extension Distribution, M. El-Morshedy, A. H. El-Bassiouny, A. El-Gohary

Journal of Statistics Applications & Probability

A new two parameter distribution is recently propoesd by El-Gohary et al. [8], called as the inverse flexible Weibullextension distribution. In this paper, we propose a new three parameter model by exponentiating the inverse flexible Weibull extension distribution [8]. We called it the exponentiated inverse flexible Weibull extension (EIFW) distribution. Several properties of this distribution have been discussed such as the probability density function, the survival function, the failure rate function and the moments. The maximum likelihood estimators of the parameters are derived. Two real data sets are analyzed using the new model, which show that the new model fits …


The Complementary Exponentiated Burrxii Poisson Distribution: Model, Properties And Application, Mustapha Muhammad Mar 2017

The Complementary Exponentiated Burrxii Poisson Distribution: Model, Properties And Application, Mustapha Muhammad

Journal of Statistics Applications & Probability

A new class of lifetime distribution called complementary exponentiated BurrXII Poisson (CEBXIIP) distribution is introduced. The distribution contain several lifetime models such as the BurrXII-zero truncated Poisson, complementary exponentiated log-logistic Poisson, complementary log-logistic Poisson, complementary exponentiated Lomax poissson and the Poisson-Lomax distributions. Several properties of the new distribution are investigated. Inferences are obtained via maximum likelihood procedure. An application of the new model to a real data set is presented for illustration purposes.