Novel weighted distribution: Properties, applications and web-tool

Abstract Weighted distributions play an important role in reliability and engineering. This research contributes to the topic by presenting a novel flexible two-parameter weighted distribution characterized by extensive statistical properties. Various parameter estimation methods are also thoroughly investigated. Their effectiveness is validated by complete simulation studies. Within the framework of generalized linear models, a regression model is established for positively defined response variables. Two data sets are examined to emphasize the importance of the proposed model. In addition, the WBreg tool is presented to facilitate its use by researchers. WBreg is available “free of charge” at https://beststat.shinyapps.io/WB2reg .