Research statement of Rohit Patra

My core statistical research focuses on semiparametric/nonparametric methodology and large sample theory — efficient estimation in semiparametric models, nonparametric function estimation (with emphasis on shape constrained estimation), and bootstrap based inference in non-standard problem. I am also actively involved in interdisciplinary research in astronomy. My research has applications in broad areas such as genomics (multiple testing problems), economics (utility and production function estimation and binary response models), causal inference (conditional independence and dimension reduction) and astronomy (understanding the accretion history of galaxies), among other fields. In the following, first I give a brief overview of my research. The second part of the document contains a detailed description of my research as well as the related future research directions.