Dr Prakasa Rao has made significant contribution on statistical inference in stochastic processes. In his earlier work, he had extended the Bernstein-von-Mises rates of convergence for independent variables to discrete parameter stationary Markov processes. He has developed the theory of large sample tests and estimation for general stochastic processes, and has investigated large sample properties of maximum probability, maximum likelihood and Bayes, estimates for diffusion processes. In recent years, Dr Prakasa Rao has obtained significant results with regard to the asymptotic theory of statistical inference in stochastic processes and non-parametric density estimation.