Abstract A recent study introduced a novel approach to the exploration of diffusions’ first-passage times (FPTs): selfsimilarity . Specifically, consider general diffusion process that runs over non-negative half-line; initiating at fixed positive levels, further diffusion’s FPTs origin. Selfsimilarity means are spanned by an intrinsic scaling their initial levels. The addressed two types selfs...

Due to the advance computer technology, use of probability distributions has been raised up solve real life problems. These applications are found in reliability engineering, sciences, economics, psychology, survival analysis, and some others. This study offers a new model called Marshall–Olkin Extended Gumbel Type-II (MOEGT-II) which can various shapes failure rate function. The proposed distr...