Generalized extended Marshall-Olkin family of lifetime distributions

Abstract We introduce a new generalized family of nonnegative continuous distributions by adding two extra parameters to lifetime distribution, called the baseline twice compounding power series distribution. The family, series-power has serial arrangement parallel structures, which extends Marshall and Olkin structure. Four special models are discussed. A mathematical treatment is provided, including ordinary incomplete moments, quantile, moment generating mean residual functions. maximum likelihood estimation technique used estimate model simulation study conducted investigate performance estimates. Its applicability also illustrated means real data sets.