Department of Statistics
The University of Chicago
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 a 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 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 of large data sets.
Recent publications and manuscripts
(on
MathSciNet )