Research Interests
My research focuses on probabilistic-mathematical models and related statistical methods with applications in biological sciences. In particular, I am interested in models that require mathematical and probabilistic formulation to describe biological mechanisms. I am also into certain mathematical aspects of theoretical statistics and probability. The following are the topics that I have worked on recently.
- Probabilistic-mathematical models with applications in biology.
- formulation of probabilistic models and simulations characterizing inheritance mechanism for a non-Mendelian species.
- construction of a mathematical procedure based on graph theory to introduce an algorithm useful for life cycle analysis in population biology.
- probabilistic formulation and statistical analysis using matrix projection models to characterize an ecological population with complex life stage structures.
- Statistical inference with non-commutative probability.
- Another research interest of mine is quantum statistical inference. My colleague and I constructed inferential prior measures for parametric probability families using group theoretic methods that involve spectral theory, operator approaches and coherent states (as termed in quantum mechanics).
- Properties of analytical functions in probability.
- I am also involved in the study of analytical properties of functions that have an important role in probability using methods in classical potential theory.
- Environmental statistics and massive data sets.
In addition, I am generally interested in environmental statistics and some of the challenges in statistical modeling by large datasets.
Last update: 2/07
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