The New Distribution of Exponential Singh-Maddala , Some Properties and its Application in Reliability

Abstract

In this paper, a new distribution that is highly applicable in the fields of reliability and economics is introduced. Also the parameters of this distribution is estimated using two methods of Maximum Likelihood and Bayes with two prior distributions Weibull and Uniform, and these two methods are compared using Monte-Carlo simulation. Finally, this new model is fit on the real data(with the failure time of 84 aircraft) and some of comparative criteria are calculated to confirm superiority of the proposed model compared to other models.

Keywords

• failure time
• exponential distribution
• singh-maddala distribution
• estimation parameters
• monte-carlo simulation
• fitting the model.