In sample surveys,
research is going on in the following areas:
In Symmetric Cryptography, the Klimov-Shamir T-functions have been analyzed and their weakness as stand-alone pseudo random generators were shown; Boolean functions with some kind of provable resistance to algebraic attacks have been constructed.
In Asymmetric Cryptography, research is going on to develop new protocols for hybrid encryption, implementation of Tate pairing and provably secure authenticated key agreement protocol.
In the area of Hash functions,research is going on in the field of Constructions and theoretical properties of UOWHFs and Construction of hash functions with good rate.
In Visual cryptography research is going on to develop new constructions for visual threshold scheme using combinatorial designs.
In the area of Steganography & Digital water marking, the Primarily cryptanalysis of some existing schemes has been done.
Some new robustness techniques based on minimum distance ideas have been developed. In the context of multinomial goodness-of-fit tests, some results have been derived which lead to generally more powerful tests under the composite `not equal to’ alternative. Some new correlation inequalities have been constructed under the Gaussian set up, and some existing results have been extended in this context. In the area of longitudinal growth curve models, goodness-of-fit tests have been developed for the exponential and Gompertz models. Currently attempts are going on to extend them to other growth curve models.
on r-manifolds (r >=3) have been constructed through maxent and conditional
specification characterizations. Constructions of and optimal inference
for axial distributions have been obtained.Constructions and inference
for asymmetric circular distributions and processes have been explored.
Dependency analysis for distributions on the torus and cylinder for some
parametric families have been pursued. Directional regression analysis
for some real-life data have been conducted.The importance and usefulness
of circular statistics in Bioinformatics have been investigated.
A unified and conveniently implementable approach to Bayesian inference for probability models on the torus with implicitly defined normalizing constants has been obtained. Full bayesian change point analysis with some circular parametric models has been proposed.
A general adaptive design was formulated to deal with continuous responses in the presence of covariates in a phase III clinical trial set up. Properties of the design was studied in details. Some research on adaptive designs for survival data and adaptive designs under crossover set up was also carried out. A general optimal adaptive design was studied which maximized utility.
Categorical Data Analysis
A general model was obtained for longitudinal categorical data set up and some related inference was carried out. Odds ratio in 2×2 contingency table was theoretically studied under some situations where the usual asumptions do not hold.
The genetic effect
in a study of twins was statistically formulated and investigated.