The Gompertz-Lindley distribution is an extension of the Lindley distribution with three parameters. It was found to be more flexible for modeling real life events. The distribution contains two shape parameters and a scale parameter. Despite the necessity of parameter estimation...
Open access
Research Article10.9734/jsrr/2023/v29i101800
Recently, researchers have shown much interest in developing new continuous probability distributions by adding one or two parameter(s) to the some existing baseline distributions. This act has been beneficial to the field of statistical theory especially in modeling of real life...
Open access
Research Article10.9734/ISRR/2021/v10i130120
This paper aims at making Bayesian analysis on the shape parameter of the exponential inverse exponential distribution using informative and non-informative priors. Bayesian estimation was carried out through a Monte Carlo study under 10,000 replications. To assess the effects of...
Open access
Research Article10.9734/ajpas/2020/v7i230178
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 maximu...
Open access
Research Article10.9734/ajpas/2020/v7i130172
In the present paper, a three-parameter Weibull-Lindley distribution is considered for Bayesian analysis. The estimation of a shape parameter of Weibull-Lindley distribution is obtained with the help of both the classical and Bayesian methods. Bayesian estimators are obtained by...
Open access
Research Article10.9734/ajarr/2020/v8i430205
Innocent Boyle Eraikhuemen, Terna Godfrey Ieren, Tajan Mashingil Mabur, Mohammed Sa’ad, Samson Kuje & Adana’a Felix Chama·Asian Research Journal of Mathematics·2019
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. T...
Open access
Research Article10.9734/arjom/2019/v15i430155
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 th...
Open access
Research Article10.9734/arjom/2021/v17i530300
The act of adding extra parameters into existing distributions for increasing their flexibility or performance is a giant stride in the area of statistical theory and applications. Acquired immune deficiency syndrome (AIDS) is a disease caused by human immunodeficiency virus (HIV...
Open access
Research Article10.9734/ISRR/2020/v9i230116
The Quadratic rank transmutation map proposed for introducing skewness and flexibility into probability models with a single parameter known as the transmuted parameter has been used by several authors and is proven to be useful. This article uses this method to add flexibility t...
Open access
Research Article10.9734/ajpas/2019/v5i330139
Statistical process control is a technique employed to enhance the quality and productivity of processes and the distribution or marketing of its products. Sachet water is a product that has become popular and is being used as a replacement for lack of potable water. It is an alt...
Open access
Research Article10.9734/jsrr/2020/v26i930307
This article proposed a new extension of the Inverse Lindley distribution called “Lomax-Inverse Lindley distribution” which is more flexible compared to the Inverse Lindley distribution and other similar models. The paper derives and discusses some Statistical properties of the n...
Open access
Research Article10.9734/jamcs/2019/v34i3-430208
Terna Godfrey Ieren, Felix M. Kromtit, Blessing Uke Agbor, Innocent Boyle Eraikhuemen & Peter Oluwaseun Koleoso·Asian Research Journal of Mathematics·2019
This paper uses a power transformation approach to introduce a three-parameter probability distribution which gives another extension of the Gompertz distribution known as “Power Gompertz distribution”. The statistical features of the power Gompertz distribution are systematicall...
Open access
Research Article10.9734/arjom/2019/v15i230146
Terna Godfrey Ieren, Adana’a Felix Chama, Olateju Alao Bamigbala, Jerry Joel, Felix M. Kromtit & Innocent Boyle Eraikhuemen·Journal of Scientific Research and Reports·2020
The Gompertz inverse exponential distribution is a three-parameter lifetime model with greater flexibility and performance for analyzing real life data. It has one scale parameter and two shape parameters responsible for the flexibility of the distribution. Despite the importance...
Open access
Research Article10.9734/jsrr/2019/v25i630203