Abstract

In this paper exponential-Komal distribution, the compound of exponential distribution with Komal distribution has been proposed. The key feature of the proposed compound distribution is that it doesn’t have a moment generating function or moments which might seem like a limitation, but this distribution can be very much useful for modelling data from biomedical sciences and engineering of heavy tailed behaviour. Important statistical properties of the distribution have been studied. 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 life data having decreasing failure rate. The fit has been found quite satisfactory over exponential, Lindley, Shanker, Komal, exponential Lindley and exponential-Shanker distributions. 

Keywords

lifetime distribution, statistical properties, stress-strength reliability, maximum likelihood estimation, goodness of fit