Abstract
In this paper, Rayleigh Gamma Gompertz (RGGom), as a new compound distribution, is introduced. Various fundamental statistical properties of RGGom distribution, including explicit expressions for the non-central rth moment, characteristic function, quantile function and simulated data, Shannon and relative entropies, and reliability stress strength model, were studied and inspected. The unknown parameters of RGGom have been estimated using the estimation method of maximum likelihood. Furthermore, the RGGom distribution is applied upon a simulation study and two real-life data sets to assess its usefulness and flexibility.
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