Open AccessGeneralized Weighted Rama Distribution: Properties and Application to Model Lifetime Data
Author(s) -
Samuel U. Enogwe,
Chisimkwuo John,
Happiness O. Obiora-Ilouno,
Chrisogonus K. Onyekwere
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2020/v16i1230250
Subject(s) - skewness , mathematics , statistics , stability (learning theory) , distribution (mathematics) , maximum likelihood , bathtub , kurtosis , data set , computer science , mathematical analysis , archaeology , machine learning , history
In this paper, we propose a new lifetime distribution called the generalized weighted Rama (GWR) distribution, which extends the two-parameter Rama distribution and has the Rama distribution as a special case. The GWR distribution has the ability to model data sets that have positive skewness and upside-down bathtub shape hazard rate. Expressions for mathematical and reliability properties of the GWR distribution have been derived. Estimation of parameters was achieved using the method of maximum likelihood estimation and a simulation was performed to verify the stability of the maximum likelihood estimates of the model parameters. The asymptotic confidence intervals of the parameters of the proposed distribution are obtained. The applicability of the GWR distribution was illustrated with a real data set and the results obtained show that the GWR distribution is a better candidate for the data than the other competing distributions being investigated.