June 2017
Public Access Category: All
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4pm» Dr. Buddhananda Banerjee, Department of Mathematics, IIT Kharagpur - Time:
- 4:00pm - 5:00pm
- Location:
- Ramanujan Hall
- Description:
- Title: Kolmogorov-Smirnov test for life test data with hybrid censoring
Abstract:
This work considers goodness-of-fit for the life test data with hybrid censoring. An alternative representation of the Kolmogorov-Smirnov (KS) statistics is provided under Type-I
censoring. The alternative representation leads us to approximate the limiting distributions of the KS statistic as a functional of the Brownian bridge for Type-II, Type-I hybrid and Type-II hybrid censored data. The approximated distributions are used to obtain the critical values of the tests in this context.We found that the proposed KS test procedure for Type-II censoring has more power than the available one(s) in literature.
- Time:
- 3:30pm
- Location:
- Ramanujan Hall
- Description:
- Title: Toric principal bundles
Abstract: We will describe our work with I. Biswas and A. Dey on the classification of torus equivariant principal bundles over toric varieties. We will relate this to equivariant analogues of the Serre problem, Grothendieck's theorem on bundles over the projective line, and Hartshorne's conjecture on bundles of small rank over projective space.