Description
Probability and Statistics seminar (It will be a talk by videoconference).
Speaker: Priyanka Majumder.
Affiliation: Indian Institute of Engineering Science and Technology, Shibpur.
Date and Time: Tuesday 01 October, 3:00 pm - 4:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: On Certain Probabilistic and Inferential Aspects of Reliability
Theory.
Abstract: Several nonparametric ageing classes have been established in
literature based on the various reliability characteristics. The talk will
cover certain probabilistic issues such as, reliability bound, moment
bound, closure under the formation of weak limits, characterisation
theorem, etc., which have been hitherto unknown in the literature, for the
New Better than Average Failure Rate (NBAFR) class of life distributions.
We further explore the validity of these results in the context of a more
general ageing class related to NBAFR family.
In the inferential part of my presentation, I will discuss a problem of
testing exponentiality against an alternative which is dened based on the
Laplace-Stieltjes transform, namely the so-called L-class. The asymptotic
distributions of our scale-invariant test statistics are derived and
consistency of the test established. General expressions of the local
approximate Bahadur eciencies for the test statistics are obtained and
evaluated for typical alternatives. The performance of the test is
assessed by means of a simulation study and through application to some
real life data sets.