Asymptotic Theory of Statistical Inference for Time Series - Brossura

Taniguchi, Masanobu; Kakizawa, Yoshihide

Brossura

ISBN 10: 1461270286 ISBN 13: 9781461270287

Casa editrice: Springer, 2012

Riassunto

The primary aim of this book is to provide modern statistical techniques and theory for stochastic processes. The stochastic processes mentioned here are not restricted to the usual AR, MA, and ARMA processes. A wide variety of stochastic processes, including non-Gaussian linear processes, long-memory processes, nonlinear processes, non-ergodic processes and diffusion processes are described. The authors discuss estimation and testing theory and many other relevant statistical methods and techniques.

Su questo libro

Informazioni sull'autore

Yuichi Goto is an assistant professor in Department of Mathematical Sciences, Faculty of Mathematics at Kyushu University. He earned his Ph.D. from Waseda University in 2021 and he was an assistant professor in Waseda University for one year. He completed a master's course in one year (one year early) and a doctor's course in two years (one year early). His research interests include time series analysis, especially frequency domain analysis, integer-valued time series, and analysis of variance. He received the Azusa Ono Memorial Award in 2021 and IMS New Researcher Travel Awards in 2023. Hideaki Nagahata is a project assistant professor in Risk Analysis Research Center at the Institute of Statistical Mathematics. His research interests include multivariate time series analysis and quantitative aspects of risk modelling. He has worked on the estimation of loss given default (LGD) with local banks and quantifying the risk of compensation triggered on the CompoundLivestock Feed Supply Stabilization System with the Ministry of Agriculture, Forestry, and Fisheries. Masanobu Taniguchi is an Emeritus professor at Waseda University. His research interests include time series analysis, mathematical statistics, multivariate analysis, information geometry, signal processing, econometric theory, and financial engineering. His main contributions in time series analysis are collected in his book: "Asymptotic Theory of Statistical Inference for Time Series" (New York : Springer-Verlag, 2000). He received the Ogawa Prize (Japan) in 1989, the Econometric Theory Award (USA) in 2000, the Japan Statistical Society Prize in 2004, Analysis Award in 2013 (Mathematical Society of Japan), Award of Japanese Minister of Education, Culture, Sports, Science & Technology in 2022, and the Distinguished Author Award in 2020 (Journal of Time Series Analysis, UK). He is a fellow of the Institute of Mathematical Statistics (USA, 1987 - ). Anna Clara Monti is a professor in the Department of Law, Economics, Management, and Quantitative Methods at University of Sannio. She acted as dean of the Faculty of Economics and the Faculty of Law. Her research interests concern statistical inference, robustness, ordinal response models, and time series. She has published several papers in international journals of statistics, e.g. Biometrika, JRSS(B), JASA, etc. Xiaofei Xu is an assistant professor in School of Mathematics and Statistics at Wuhan University. Before joining Wuhan University, she worked as an assistant professor in Waseda Unversity. She got Ph.D. degree in statistics in 2020. Her research interests include functional data analysis, count time series analysis, non-stationarity and high dimensionality, and energy forecasting. Xiaofei has published several papers in famous international journals including Annals of Applied Statistics and Journal of Business and Economic Statistics.

Dalla quarta di copertina

There has been much demand for the statistical analysis of dependent ob­ servations in many fields, for example, economics, engineering and the nat­ ural sciences. A model that describes the probability structure of a se­ ries of dependent observations is called a stochastic process. The primary aim of this book is to provide modern statistical techniques and theory for stochastic processes. The stochastic processes mentioned here are not restricted to the usual autoregressive (AR), moving average (MA), and autoregressive moving average (ARMA) processes. We deal with a wide variety of stochastic processes, for example, non-Gaussian linear processes, long-memory processes, nonlinear processes, orthogonal increment process­ es, and continuous time processes. For them we develop not only the usual estimation and testing theory but also many other statistical methods and techniques, such as discriminant analysis, cluster analysis, nonparametric methods, higher order asymptotic theory in view of differential geometry, large deviation principle, and saddlepoint approximation. Because it is d­ ifficult to use the exact distribution theory, the discussion is based on the asymptotic theory. Optimality of various procedures is often shown by use of local asymptotic normality (LAN), which is due to LeCam. This book is suitable as a professional reference book on statistical anal­ ysis of stochastic processes or as a textbook for students who specialize in statistics. It will also be useful to researchers, including those in econo­ metrics, mathematics, and seismology, who utilize statistical methods for stochastic processes.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461270286
• ISBN 13: 9781461270287
• Rilegatura: Copertina flessibile
• Numero di pagine: 662
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania