Year: 2025
Type: article
Abstract: In this paper a new one parameter probability distribution “Finite Mixture of Gamma Distributions” is suggested from three com-ponent mixture of Exponential (θ), Gamma (4, θ) and Gamma (3,θ) with mixing proportions θ^2/(〖(θ〗^2+6θ+2)),6θ/(〖(θ〗^2+6θ+2)) and 2/(〖(θ〗^2+6θ+2)) respectively. Its first four moments and expressions for skew-ness, kurtosis, and coefficient of variation have been given. Various mathematical and statistical properties of the proposed distribu-tion, including hazard rate function, mean residual life function, and stress strength reliability, have been discussed. Estimation of the parameter has been discussed. The goodness of fit of the distribution has been discussed with two real-life data set and second-ary data. The fit has been compared with one-parameter life time distributions, including Exponential, Lindley, and Chris Jerry distributions.
DOI: 10.14419/n5f0mc55
Authors: Rekha Radhakrishnan, D Venkatesan, Prasanth C. B
Institution: Annamalai University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410124388