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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.
Sections 1-2. Keyword Index.--Section 3. Personal author index.--Section 4. Corporate author index.-- Section 5. Contract/grant number index, NTIS order/report number index 1-E.--Section 6. NTIS order/report number index F-Z.
All The Four Editors Are Professors Of The Indian Statistical Institute Who Hold The Rank Of Distinguished Scientist. They Have Been Serving As Editors Of Sankhya, The Indian Journal Of Statistics For A Long Time. They Are Fellows Of The Indian National Science Academy And The Indian Academy Of Science. They Were Elected To The Membership Of The International Statistical Institute Of Which J.K. Ghosh Is Currently The President Elect. S.K. Mitra Is A Distinguished Scientist Emeritus. B.L.S. Prakasa Rao Is At Present The Director Of This Institute, J.K. Ghosh, K.R. Parthasarathy And B.L.S. Prakasa Rao Are All Recipients Of The Shanti Swarup Bhatnagar Prize.
The Current Index to Statistics (CIS) is a bibliographic index of publications in statistics, probability, and related fields.
Bayesian nonparametrics comes of age with this landmark text synthesizing theory, methodology and computation.
A compact, master's-level textbook on financial econometrics, focusing on methodology and including real financial data illustrations throughout. The mathematical level is purposely kept moderate, allowing the power of the quantitative methods to be understood without too much technical detail.