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.