Author(s):
1. Halid Omobolaji Yusuf:
Department of Statistics, Faculty of Science,Ekiti State University, Ado-Ekiti, Ekiti State, Nigeria
2. Sule Omeiza Bashiru:
Department of Mathematical Sciences, Kogi State University,Anyigba, Kogi State, Nigeria
Abstract:
We propose a new three-parameter probability distribution called the Gompertz Inverse Rayleigh distribution with Inverse Rayleigh as the baseline distribution. The mathematical statistical properties and order statistics of the new distribution were also derived. Maximum likelihood estimation method and Bayesian estimation method are adopted for simulation in this work. Various characteristics and properties of the novel Gompertz Inverse Rayleigh (GoIR) distribution would be obtained such as survival, hazard rate, cumulative hazard, reversed hazard functions, limiting behaviour of its probability density and hazard rate functions. Quantile functions, median, moments and other properties would also be obtained. The shape of the distribution would be discussed via its skewness and kurtosis. Sufficient conditions for failure rate functions would be derived. A simulation study would be presented to check the performance of the proposed estimators. Finally, the application of the Gompertz Inverse Rayleigh distribution was demonstrated using a real life data and its performance was compared with other models. R programing was used to perform the analysis and plot the graphs.
Page(s):
49-76
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 38, Issue: 1, Year: 2022
Keywords:
Order statistic
,
Inverse Rayleigh Distribution
,
Gompertz Distribution
,
Monotone Likelihood Ratio
,
Gompertz inverse
References:
References are not available for this document.
Citations
Citations are not available for this document.