A new trigonometric distribution with bounded support and an application

Abstract

. In this paper, we introduce a new bounded distribution by using trigonometric functions, named the cosine-sine distribution. A comprehen- sive study of its statistical properties is presented along with an application to a unit-interval data set, namely firms risk management cost-effectiveness data. The proposed distribution has increasing, bathtub and v hazard rate shapes. Further, we show that the distribution can be viewed as a truncated exponential sine distribution.