The Beta Marshall-Olkin Extended Uniform Distribution

The Beta Marshall-Olkin extended uniform (BMOEU) distribution is introduced. The rth moment, the mean, the variance, the cumulative distribution function, the reliability function and the hazard rate function is obtained for the new distribution. It is well known that an item fails when a stress to which it is subjected exceeds the corresponding strength. In this sense, strength can be viewed as "resistance to failure". Good design practice is such that the strength is always greater than the expected stress. The safety factor can be defined in terms of strength and stress as strength/ stress. So, the BMOEU strength-stress model with different eight parameters will be derived here.