A Compound of Exponential and Shanker Distribution with an Application

In this paper exponential-Shanker distribution which is a compound of exponential and Shanker distribution has been proposed. The unique feature of the proposed compound distribution is that both moment generating function and moments does not exist. The shape, hazard rate function, reversed hazard rate function, quantile function, entropy measures and stressstrength reliability have been discussed. The proposed distribution has decreasing hazard rate which resembles with several lifetime datasets. The estimation of its parameter has been discussed using maximum likelihood method. Goodness of fit of the proposed distribution has been explained with an example of real lifetime dataset of electronic item having decreasing failure rate. The fit has been found quite satisfactory over exponential, Lindley, Shanker and exponential-Lindley distributions.