Many distributions have been used as lifetime models. In this article, we propose a new threeparameter Weibull–Pareto distribution, which can produce the most important hazard rate shapes, namely, constant, increasing, decreasing, bathtub, and upsidedown bathtub. Various structural properties of the new distribution are derived including explicit expressions for the moments and incomplete momen...

This note analyzes the distributional properties of Pareto Type III random variables. The orignal two parameters distribution proposed by Pareto is expanded in a three parameters version and both its density and characteristic function are derived. The analytic expression of the inverse distribution function is also obtained, together with a simple series expansion of its moments of any order. ...

The article deals with the problem of estimating parameters a tapered Pareto distribution. Using moment method, we obtain new estimates depending on an additional parameter. We prove that joint asymptotic distribution these is Gaussian. A procedure proposed permits one to choose parameter in optimal way. are compared corresponding maximum likelihood estimates. By way example, application COVID-...

BACKGROUND Distributed robustness is thought to influence the buffering of random phenotypic variation through the scale-free topology of gene regulatory, metabolic, and protein-protein interaction networks. If this hypothesis is true, then the phenotypic response to the perturbation of particular nodes in such a network should be proportional to the number of links those nodes make with neighb...