Abstract We consider a Lévy process Y ( t ) that is not continuously observed, but rather inspected at Poisson( $\omega$ moments only, over an exponentially distributed time $T_\beta$ with parameter $\beta$ . The focus lies on the analysis of distribution running maximum such inspection up to , denoted by $Y_{\beta,\omega}$ Our main result decomposition: we derive remarkable distributional equa...

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 estimate...