The kagebushin-beta distribution: an alternative for gamma, Weibull and exponentiated exponential distributions

Abstract A new lifetime distribution has been defined. This is obtained from a transformation of random variable with beta and called here the kagebushin-beta distribution. Some mathematical properties such as mode, quantile function, ordinary incomplete moments, mean deviations over median entropies Rényi Shannon are demonstrated. The maximum likelihood method used to obtain parameter estimates. Monte Carlo simulations carried out verify accuracy estimators. Applications real data showed that model can be better than Weibull, gamma exponentiated exponential distributions.