THE ODD WEIBULL-TOPP-LEONE-G POWER SERIES FAMILY OF DISTRIBUTIONS

Abstract

In 2021 Oluyede, Chipepa and Wanduku \cite{Olu} developed a new generalization of the Weibull--Topp--Leone--G family of distributions called the odd Weibull--Topp--Leone--G--power series (OW--TL--GPS) family.In the paper we study one of the important characteristics saturation of this new family of cumulative functions to the horizontal asymptote with respect to Hausdorff metric. We prove estimates for the Hausdorff approximation of the Heavisidestep function by means of this family.Also we construct and study families of recurrence generatedadaptive functions based on the odd Weibull-Top-Leone-G power series family. In additional we consider a new adaptive model with “polynomial variable transfer”.Some numerical examples and simple programming modules, illustrating the new results are given.