A novel family of generating distributions based on trigonometric function with an application to exponential distribution.
Anwar Hassan, Itay Dar, M. A. Lone
Abstract
In this manuscript, we introduce a noval procedure for generating distributions based on the sine trigonometric function, and we called this procedure as the Sine Exponentiated Transformation (SET). The SET procedure is then specialized on exponential distribution and a new distribution, namely, Sine Exponentiated Exponential (SEE) distribution is acquired. The introduced model is quite flexible in terms of density and hazard rate functions. Besides flexibility, several other well known properites including moments, moment generating function, mean residual life, mean waiting time, stress strength parameter and order statistics has been highlighted. Simulation study has been carried out to assess the performance of all the estimators. Lastly the applicability of the distribution is discussed on three different real data sets.