Generalizing statistical distributions arising from the hazard function, statistical inference of probability models, characterization of distributions, bivariate and multivariate weighted distributions and Data Mining.
Stochastic Partial Differential Equations, Stochastic Hybrid Systems, Stochastic Controlled Systems and its Quantitative Properties, Fluid Dynamics under Markovian Structural and Environmental Perturbations
Commutative Ring Theory. Most of my work is devoted to multiplicative ideal theory (school of Kaplansky and Gilmer). For example, I introduced the following concepts: phi-Commutative Rings , a class of commutative rings contains the class of integral domains. I introduced the concepts of absorbing...
Extreme Value Analysis, Statistical analysis, Distribution Theory and Financial Risk in analysing Financial Commodities/Markets, Cryptocurrencies, Efficient Markets, Blockchain networks, High-frequency trading, and Investor sentiments.
Time Series Analysis for Forecasting and Predicting, Environmental Statistical Models,Regression Analysis (Linear and Nonlinear), Actuarial Science, Data Analysis and Modeling (Both Parametric and Non-Parametric)