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Titlebook: Asymptotic Theory of Statistical Inference for Time Series; Masanobu Taniguchi,Yoshihide Kakizawa Book 2000 Springer Science+Business Medi

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發(fā)表于 2025-3-21 20:08:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Asymptotic Theory of Statistical Inference for Time Series
影響因子2023Masanobu Taniguchi,Yoshihide Kakizawa
視頻videohttp://file.papertrans.cn/164/163839/163839.mp4
學(xué)科分類Springer Series in Statistics
圖書(shū)封面Titlebook: Asymptotic Theory of Statistical Inference for Time Series;  Masanobu Taniguchi,Yoshihide Kakizawa Book 2000 Springer Science+Business Medi
影響因子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.
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Local Asymptotic Normality for Stochastic Processes,for the likelihood ratio of general statistical models. Once LAN is proved, the asymptotic optimality of estimators and tests is described in terms of the LAN property. In this chapter we review LeCam’s LAN theorem and show the LAN results for a wide class of vector linear processes, which are permi
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Asymptotic Theory of Estimation and Testing for Stochastic Processes,models. However, in the last twenty years a lot of more complicated stochastic process models have been introduced, such as, nonlinear time series models, diffusion processes, point processes, and nonergodic processes. This chapter is devoted to providing a modern asymptotic estimation and testing t
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Asymptotic Theory for Long-Memory Processes,nvergence is slower than that of the usual AR, MA, and ARMA processes, we call them long-memory processes (or processes with long-range dependence). The phenomenon of long-range dependence was known long before suitable statistical models were introduced. Hurst (1951) studied the records of water fl
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Statistical Analysis Based on Functionals of Spectra, constructing an estimator is to replace an unknown spectral density by the periodogram based on the data. The functional of interest is, however, not always linear with respect to the spectral density. For the nonlinear case replacing the unknown spectral density by the periodogram causes asymptoti
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Discriminant Analysis for Stationary Time Series,n 7.1 we give a basic formulation of discriminant analysis. We begin with the standard methods from classical multivariate analysis and then introduce the frequency domain approach in time series analysis (Section 7.2). Even if the Gaussianity of the process is not assumed, we can construct the Gaus
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Book 2000ral 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 restric
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