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RESEARCH & TEACHING


 
AREAS OF INTEREST

Statistical Inference, Categorical Data Analysis, Regression Analysis, Collapsibility, Distribution Theory,

Probability Approximations, Fractional Stochastic Processes, Fractional Calculus, Adomian Polynomials.

 
 
COURSES TAUGHT

Multivariate Analysis, Statistical Inference, Probability Theory, MA 203 (Differential Equations, Fourier Series), Theory of Sampling, Theory of Statistical Distributions, Statistical Quality Control, Theory of Estimation, Asymptotic Theory of Inference, Applied Statistical Decision Theory, MA 104 (Vector Calculus and Linear Algebra), Time Series Analysis, Elements of Applied Probability and Statistics, Applied Stochastic Processes,
Categorical Data Analysis and Regression, Insurance Mathematics, MA 103 (Calculus), Regression Analysis, Statistical Methods (at Michigan State University), Statistics and Probability for Engineers (at MSU), Nonparametric Inference, Statistical Modeling.
 
 
Ph.D. THESIS SUPERVISION
YEAR
STUDENT
TITLE
2023
Vijay Kumar

Adomian Polynomials and Some FractionalStochastic Processes

2018
K. K. Kataria

Applications of Adomian Decomposition Method to Fractional
Poisson Processes.

2018
Sayan Ghosh
Some Contributions to the Analysis of Incomplete Tables.
2017
Maheshwari, A.
Some Fractional Stochastic Processes.
2016
A. K. Pathak
On Copulas and Regression Models.
2012
A. Kumar
Some Subordinated Processes and Their PDE Connections.
2009
N. S. Upadhye
Compound Negative Binomial Approximations for Sums of RandomVariables.
2007
V. Vijay
Loglinear Modeling and Some Collapsibility Results for Contingency Tables and Regression Models.
2005
Makesh Kumar

Some Contributions to Component Reliability Estimation and

Test Plans.

1999
S. Sankar

Design of Single and Double Sampling Plans for Quality and Reliability..

1996
B. Chaudhuri
Poisson and Compound Poisson Approximations for Sums for Sums of Random Variables.