B. L. S. Prakasa Rao

"The class of semimartingales includes a large class of stochastic processes, including diffusion type processes, point processes, and diffusion type processes with jumps, widely used for stochastic modeling. Until now, however, researchers have had no single reference that collected the research conducted on the asymptotic theory of statistical inference for semimartingales.". "Semimartingales and their Statistical Inference fills this need by presenting a comprehensive discussion of the asymptotic theory of statistical inference for semimartingales at a level needed for researchers working in the area of statistical inference for stochastic processes. The author brings together into one volume the state of the art in the inferential aspect for semimartingales."--BOOK JACKET.

"Statistical Inference for Fractional Diffusion Processes looks at statistical inference for stochastic processes modeled by stochastic differential equations driven by fractional Brownian motion. Other related processes, such as sequential inference, nonparametric and non parametric inference and parametric estimation are also discussed"--

An up-to-date and concise description of recent results in probability theory and stochastic processes useful in the study of asymptotic theory of statistical inference. Brings together new material on the interplay between recent advances in probability theory and their applications to the asymptotic theory of statistical inference. Asymptotic theory of maximum likelihood and Bayes estimation, asymptotic properties of least squares estimators in nonlinear regression, and estimators of parameters for stable laws are dicussed from the point of view of stochastic processes. This leads to better results than the Taylor expansions approach used in the classical theory of maximum likelihood estimation.