The Modified Double Weighted Exponential Distribution with Properties

Abstract

The weighted distributions are widely used in many real life fields such as medicine, ecology, reliability, etc., for the development of proper statistical model. The concept of double weighted distribution was introduced by Al-khadim and Hantoosh (2013) and later has been studied by other researchers. In his article,  has been considered as suitable weight for efficient modeling of double weight exponential distribution. The statistical properties of the modified double weighted exponential distribution (MDWED) are explored. The Kolmogorov- Smirnov test has been used to choose a better fitted probability model. The result of this testshown that (MDWED) is more suitable distribution to fit rainfall data then (DWED) proposed by Al-khadim and Hantoosh (2013).

Keywords:Weighted distribution, Exponential distribution, Moment Generating Function, Fisher information.