Semimartingales and Their Statistical Inference

ISBN-13: 9781584880080 / Angielski / Twarda / 1999 / 450 str.

B. L. S. Prakasa Rao; B. L. S. Rao

Opis

Statistical inference carries great significance in model building from both the theoretical and the applications points of view. Its applications to engineering and economic systems, financial economics, and the biological and medical sciences have made statistical inference for stochastic processes a well-recognized and important branch of statistics and probability.
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 for semimartingales.
Semimartingales and their Statistical Inference, fills this need by presenting a comprehensive discussion of the asymptotic theory of 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 such processes. The topics discussed include:
Asymptotic likelihood theory
Quasi-likelihood
Likelihood and efficiency
Inference for counting processes
Inference for semimartingale regression models
The author addresses a number of stochastic modeling applications from engineering, economic systems, financial economics, and medical sciences. He also includes some of the new and challenging statistical and probabilistic problems facing today's active researchers working in the area of inference for stochastic processes.

Recenzje

"This is a book for experienced statisticians and modellers and it is certainly to be recommended for libraries."
--C. C. Heyde, Australian National University, Canberra,

Spis treści

Semimartingales
Exponential Families of Stochastic Processes
Asymptotic Likelihood Theory
Local Asymptotic Behavior of Semimartingales Experiments
Likelihood and Asymptotic Efficiency
Applications to Stochastic Modeling
Appendix
Notes
References

O autorze

Rao\, B.L.S. Prakasa