This paper is an addition to the series of modification and improvement extant distributions which enable them analyze new emerging situations efficiently. We develop a lifetime distribution by generalizing Erlang truncated exponential using Topp Leone family distributions. A comprehensive account mathematical characteristics such as quantile function, moments, probability weighted moment gener...

The observational data on ultrahigh energy cosmic rays (UHECR), in particular their mass composition, show strong indications for extremely hard spectra of individual groups CR nuclei at Earth. In this work, we that such can be the result finite life-time UHECR sources, if a few sources dominate flux highest energies. case, time delays induced by deflections turbulent extragalactic magnetic fie...