Seminar at SMU Delhi

September 25, 2013 (Wednesday) , 3:30 PM at Webinar
Speaker: Sudheesh K. Kattumannil, Indian Statistical Institute, Chennai
Title: Some results on mean time to failure class
Abstract of Talk
The class which deal with failure with replacement distribution plays a key role in reliability theory in connection with maintenance strategies and renewal theory. The mean time to failure (MTTF) is a widely used concept to describe the reliability characteristics of a repairable system. We review some properties of decreasing mean time to failure (DMTTF) class. We discuss a new non-parametric test for DMTTF class. Asymptotic properties of our proposed test statistic are studied. The test is compared with other available tests in the literature. The exact null distribution of the test statistic is derived and critical values for different sizes are calculated. It is noted that the test proposed here is simpler than those known in the literature with very good efficiencies.