A Continuous Poisson-Rayleigh Distribution: Its Properties and Applications

This article proposed a Poisson based continuous probability distribution called Poisson-Rayleigh distribution. Some properties of the new distribution such as quantile and reliability functions and other useful measures were obtained. The model parameters were estimated using the method of maximum likelihood. The usefulness of the new distribution was proven empirically using real life datasets.

The Gumbel- Pareto Distribution: Theory and Applications

Baghdad Science Journal ◽

10.21123/bsj.2019.16.4.0937 ◽

2019 ◽

Vol 16 (4) ◽

pp. 0937

Author(s):

Saad Et al.

Keyword(s):

Maximum Likelihood ◽

Pareto Distribution ◽

Real Data ◽

Model Parameters ◽

Numerical Illustration ◽

Data Set ◽

Mathematical Properties ◽

First Time ◽

In this paper, for the first time we introduce a new four-parameter model called the Gumbel- Pareto distribution by using the T-X method. We obtain some of its mathematical properties. Some structural properties of the new distribution are studied. The method of maximum likelihood is used for estimating the model parameters. Numerical illustration and an application to a real data set are given to show the flexibility and potentiality of the new model.

SOME PROPERTIES OF BETA TRANSMUTED DAGUM DISTRIBUTION WITH APPLICATIONS

Indonesian Journal of Statistics and Its Applications ◽

10.29244/ijsa.v4i2.646 ◽

2020 ◽

Vol 4 (2) ◽

pp. 327-340

Author(s):

Ahmed Ali Hurairah ◽

Saeed A. Hassen

Keyword(s):

Maximum Likelihood ◽

Likelihood Estimation ◽

Real Data ◽

Moment Generating Function ◽

Model Parameters ◽

Data Set ◽

New Family ◽

Dagum Distribution ◽

In this paper, we introduce a new family of continuous distributions called the beta transmuted Dagum distribution which extends the beta and transmuted familys. The genesis of the beta distribution and transmuted map is used to develop the so-called beta transmuted Dagum (BTD) distribution. The hazard function, moments, moment generating function, quantiles and stress-strength of the beta transmuted Dagum distribution (BTD) are provided and discussed in detail. The method of maximum likelihood estimation is used for estimating the model parameters. A simulation study is carried out to show the performance of the maximum likelihood estimate of parameters of the new distribution. The usefulness of the new model is illustrated through an application to a real data set.

A Study on Properties and Applications of a Lomax Gompertz-Makeham Distribution

Asian Research Journal of Mathematics ◽

10.9734/arjom/2019/v15i430155 ◽

2019 ◽

pp. 1-27

Author(s):

Innocent Boyle Eraikhuemen ◽

Terna Godfrey Ieren ◽

Tajan Mashingil Mabur ◽

Mohammed Sa’ad ◽

Samson Kuje ◽

...

Keyword(s):

Maximum Likelihood ◽

Maximum Likelihood Estimation ◽

Probability Distributions ◽

Real Life ◽

Likelihood Estimation ◽

The Other ◽

Unknown Parameters ◽

Compound Model ◽

The article presents an extension of the Gompertz-Makeham distribution using the Lomax generator of probability distributions. This generalization of the Gompertz-Makeham distribution provides a more skewed and flexible compound model called Lomax Gompertz-Makeham distribution. The paper derives and discusses some Mathematical and Statistical properties of the new distribution. The unknown parameters of the new model are estimated via the method of maximum likelihood estimation. In conclusion, the new distribution is applied to two real life datasets together with two other related models to check its flexibility or performance and the results indicate that the proposed extension is more flexible compared to the other two distributions considered in the paper based on the two datasets used.

Properties and Applications of a Transmuted Power Gompertz Distribution

Asian Journal of Probability and Statistics ◽

10.9734/ajpas/2020/v7i130172 ◽

2020 ◽

pp. 41-58

Author(s):

Innocent Boyle Eraikhuemen ◽

Adana’a Felix Chama ◽

Abraham Iorkaa Asongo ◽

Bassa Shiwaye Yakura ◽

Abdul Haruna Bala

Keyword(s):

Maximum Likelihood ◽

Probability Distribution ◽

Maximum Likelihood Estimation ◽

Goodness Of Fit ◽

Real Life ◽

Likelihood Estimation ◽

New Model ◽

Gompertz Distribution ◽

Result Show

This article introduces and studies a new probability distribution called “Transmuted Power Gompertz distribution”. It looks at the properties of the transmuted power Gompertz distribution. The article also estimates the four parameters of the new model using the method of maximum likelihood estimation. The article further evaluates the goodness-of-fit of the proposed distribution compared to other distributions by means of applications of the model to two real life datasets and the result show that the proposed distribution is more flexible than the fitted existing distributions.

On Properties and Applications of Lomax-Gompertz Distribution

Asian Journal of Probability and Statistics ◽

10.9734/ajpas/2019/v3i230092 ◽

2019 ◽

pp. 1-17

Author(s):

A. Omale ◽

O. E. Asiribo ◽

A. Yahaya

Keyword(s):

Survival Function ◽

Real Life ◽

Quantile Function ◽

Moment Generating Function ◽

Model Parameters ◽

Gompertz Distribution ◽

Probability Of Survival ◽

Age Dependent ◽

This article introduces a new distribution called the Lomax-Gompertz distribution developed through a Lomax Generator proposed in an earlier study. Some statistical properties of the proposed distribution comprising moments, moment generating function, characteristics function, quantile function and the distribution of order statistics were derived. The plots of the probability density function revealed that it is positively skewed. The model parameters have been estimated using the method of maximum likelihood. The plot the of survival function indicates that the Lomax-Gompertz distribution could be used to model time or age-dependent data, where probability of survival is believed to be decreasing with time or age. The performance of the Lomax-Gompertz distribution has been compared to other generalizations of the Gompertz distribution using three real-life datasets used in earlier researches.

A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate

Modelling and Simulation in Engineering ◽

10.1155/2017/6043169 ◽

2017 ◽

Vol 2017 ◽

pp. 1-6 ◽

Cited By ~ 5

Author(s):

Pelumi E. Oguntunde ◽

Mundher A. Khaleel ◽

Mohammed T. Ahmed ◽

Adebowale O. Adejumo ◽

Oluwole A. Odetunmibi

Keyword(s):

Maximum Likelihood ◽

Maximum Likelihood Estimation ◽

Real Life ◽

Likelihood Estimation ◽

Model Parameters ◽

Lomax Distribution ◽

Life Data ◽

Real Life Data ◽

Better Than

Developing new compound distributions which are more flexible than the existing distributions have become the new trend in distribution theory. In this present study, the Lomax distribution was extended using the Gompertz family of distribution, its resulting densities and statistical properties were carefully derived, and the method of maximum likelihood estimation was proposed in estimating the model parameters. A simulation study to assess the performance of the parameters of Gompertz Lomax distribution was provided and an application to real life data was provided to assess the potentials of the newly derived distribution. Excerpt from the analysis indicates that the Gompertz Lomax distribution performed better than the Beta Lomax distribution, Weibull Lomax distribution, and Kumaraswamy Lomax distribution.

THE BETA TRANSMUTED POWER DISTRIBUTION: PROPERTIES AND APPLICATION

Indonesian Journal of Statistics and Its Applications ◽

10.29244/ijsa.v3i1.204 ◽

2019 ◽

Vol 3 (1) ◽

pp. 105-123

Author(s):

Abdelhakim Alabid ◽

Ahmed Ali Hurairah ◽

Indonesian Journal of Statistics and Its Applications IJSA

Keyword(s):

Probability Distribution ◽

Power Distribution ◽

Asymptotic Variance ◽

Real Data ◽

Mean Deviation ◽

Model Parameters ◽

Data Set ◽

Asymptotic Confidence Intervals ◽

In this this paper, we define and study a new generalization of the Power distribution and the quadratic rank transmutation map (QRTM) in order to generate a flexible family of probability distribution taking Power distribution as the base distribution. The new distribution is called the beta transmuted Power (BTP) distribution. Some properties of the distribution such as moments, quantiles, mean deviation and order statistics are derived. The method of maximum likelihood is proposed to estimate the model parameters. The asymptotic conﬁdence intervals for the parameters are also obtained based on asymptotic variance-covariance matrix. A simulation study is conducted to study the performance of the estimators. The importance and flexibility of the new model is proved empirically using a real data set.

The New Odd Log-Logistic Generalized Inverse Gaussian Regression Model

Journal of Probability and Statistics ◽

10.1155/2019/8575424 ◽

2019 ◽

Vol 2019 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Julio Cezar Souza Vasconcelos ◽

Gauss M. Cordeiro ◽

Edwin M. M. Ortega ◽

Elton G. Araújo

Keyword(s):

Maximum Likelihood ◽

Regression Model ◽

Generalized Inverse ◽

Real Data ◽

Model Parameters ◽

Inverse Gaussian ◽

Generalized Inverse Gaussian ◽

Gaussian Regression ◽

We define a new four-parameter model called the odd log-logistic generalized inverse Gaussian distribution which extends the generalized inverse Gaussian and inverse Gaussian distributions. We obtain some structural properties of the new distribution. We construct an extended regression model based on this distribution with two systematic structures, which can provide more realistic fits to real data than other special regression models. We adopt the method of maximum likelihood to estimate the model parameters. In addition, various simulations are performed for different parameter settings and sample sizes to check the accuracy of the maximum likelihood estimators. We provide a diagnostics analysis based on case-deletion and quantile residuals. Finally, the potentiality of the new regression model to predict price of urban property is illustrated by means of real data.

Extended Rayleigh Distribution: Properties and Application to Failure Data

Asian Research Journal of Mathematics ◽

10.9734/arjom/2021/v17i730313 ◽

2021 ◽

pp. 1-8

Author(s):

Aladesuyi Alademomi ◽

Philips Samuel Ademola ◽

Adefolarin Adekunle David

Keyword(s):

Real Life ◽

Quantile Function ◽

Rayleigh Distribution ◽

Model Parameters ◽

Data Set ◽

New Model ◽

Failure Data ◽

Mathematical Properties ◽

Real Life Data ◽

Method Of Maximum Likelihood

This paper introduces a new three parameter Rayleigh distribution which generalizes the Rayleigh distribution. The new model is referred to as Extended Rayleigh (ER) distribution. Various mathematical properties of the new model including ordinary and incomplete moment, quantile function, generating function are derived. We propose the method of maximum likelihood for estimating the model parameters. A real life data set is used to compare the flexibility of the new model with other models.

General Results for the Transmuted Family of Distributions and New Models

Journal of Probability and Statistics ◽

10.1155/2016/7208425 ◽

2016 ◽

Vol 2016 ◽

pp. 1-12 ◽

Cited By ~ 7

Author(s):

Marcelo Bourguignon ◽

Indranil Ghosh ◽

Gauss M. Cordeiro

Keyword(s):

Maximum Likelihood ◽

Generating Functions ◽

Real Data ◽

Model Parameters ◽

Data Set ◽

Proposed Model ◽

The Family ◽

New Models ◽

Family Of Distributions

The transmuted family of distributions has been receiving increased attention over the last few years. For a baselineGdistribution, we derive a simple representation for the transmuted-Gfamily density function as a linear mixture of theGand exponentiated-Gdensities. We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, Rényi and Shannon entropies, and order statistics and their moments. We estimate the model parameters of the family by the method of maximum likelihood. We prove empirically the flexibility of the proposed model by means of an application to a real data set.