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Gaussian Likelihood Estimation For Nearly Nonstationary Ar1 Processes
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Book Synopsis Gaussian Likelihood Estimation for Nearly Nonstationary AR(1) Processes by : Dennis D. Cox
Download or read book Gaussian Likelihood Estimation for Nearly Nonstationary AR(1) Processes written by Dennis D. Cox and published by . This book was released on 1987 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: An asymptotic analysis is presented for estimation in the three parameter first order autoregressive model, where the parameters are the mean, autoregressive coefficient, and variance of the shocks. The nearly nonstationary asymptotic model is considered wherein the autoregressive coefficient tends to 1 as sample size tends to infinity. Three different estimators are considered: the exact gaussian maximum likelihood estimator, the conditional maximum likelihood or least squares estimator, and some naive estimators. It is shown that the estimators converge in distribution to analogous estimators for a continuous time Ornstein-Uhlenbeck process. Simulation results show that the MLE has smaller asymptotic mean squared error than the other two, and that the conditional maximum likelihood estimator gives a very poor estimator of the process mean. Keywords: Likelihood estimation; Autoregressive processes; Nearly nonstationary time series; Ornstein Uhlenbeck process.
Book Synopsis Parameter estimation for nearly nonstationary AR(1) processes by :
Download or read book Parameter estimation for nearly nonstationary AR(1) processes written by and published by . This book was released on 1992 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Gaussian Autoregressive-Type Time Series by : N. Balakrishna
Download or read book Non-Gaussian Autoregressive-Type Time Series written by N. Balakrishna and published by Springer Nature. This book was released on 2022-01-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together a variety of non-Gaussian autoregressive-type models to analyze time-series data. This book collects and collates most of the available models in the field and provide their probabilistic and inferential properties. This book classifies the stationary time-series models into different groups such as linear stationary models with non-Gaussian innovations, linear stationary models with non-Gaussian marginal distributions, product autoregressive models and minification models. Even though several non-Gaussian time-series models are available in the literature, most of them are focusing on the model structure and the probabilistic properties.
Book Synopsis Introduction to Statistical Time Series by : Wayne A. Fuller
Download or read book Introduction to Statistical Time Series written by Wayne A. Fuller and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of time series is of considerable interest, especiallyamong researchers in econometrics, engineering, and the naturalsciences. As part of the prestigious Wiley Series in Probabilityand Statistics, this book provides a lucid introduction to thefield and, in this new Second Edition, covers the importantadvances of recent years, including nonstationary models, nonlinearestimation, multivariate models, state space representations, andempirical model identification. New sections have also been addedon the Wold decomposition, partial autocorrelation, long memoryprocesses, and the Kalman filter. Major topics include: * Moving average and autoregressive processes * Introduction to Fourier analysis * Spectral theory and filtering * Large sample theory * Estimation of the mean and autocorrelations * Estimation of the spectrum * Parameter estimation * Regression, trend, and seasonality * Unit root and explosive time series To accommodate a wide variety of readers, review material,especially on elementary results in Fourier analysis, large samplestatistics, and difference equations, has been included.
Book Synopsis Almost All about Unit Roots by : In Choi
Download or read book Almost All about Unit Roots written by In Choi and published by Cambridge University Press. This book was released on 2015-05-07 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many economic theories depend on the presence or absence of a unit root for their validity, and econometric and statistical theory undergo considerable changes when unit roots are present. Thus, knowledge on unit roots has become so important, necessitating an extensive, compact, and nontechnical book on this subject. This book is rested on this motivation and introduces the literature on unit roots in a comprehensive manner to both empirical and theoretical researchers in economics and other areas. By providing a clear, complete, and critical discussion of unit root literature, In Choi covers a wide range of topics, including uniform confidence interval construction, unit root tests allowing structural breaks, mildly explosive processes, exuberance testing, fractionally integrated processes, seasonal unit roots and panel unit root testing. Extensive, up to date, and readily accessible, this book is a comprehensive reference source on unit roots for both students and applied workers.
Book Synopsis Probability Theory and Mathematical Statistics by : B. Grigelionis
Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".
Book Synopsis Maximum Likelihood Estimation for Nearly Non-Stationary Stable Autoregressive Processes by : Rong-Mao Zhang
Download or read book Maximum Likelihood Estimation for Nearly Non-Stationary Stable Autoregressive Processes written by Rong-Mao Zhang and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Experiments And Decision, Asymptotic Theory by : Albert N Shiryaev
Download or read book Statistical Experiments And Decision, Asymptotic Theory written by Albert N Shiryaev and published by World Scientific. This book was released on 2000-07-04 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is “how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment”.
Book Synopsis Statistical Experiments and Decisions by : Al?bert Nikolaevich Shiri?aev
Download or read book Statistical Experiments and Decisions written by Al?bert Nikolaevich Shiri?aev and published by World Scientific. This book was released on 2000 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an exposition of some fundamental aspects of the asymptotic theory of statistical experiments. The most important of them is ?how to construct asymptotically optimal decisions if we know the structure of optimal decisions for the limit experiment?.
Book Synopsis Technical Reports Awareness Circular : TRAC. by :
Download or read book Technical Reports Awareness Circular : TRAC. written by and published by . This book was released on 1987-10 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Weakly Dependent Stochastic Sequences and Their Applications: Statistical inference based on weakly dependent data by : Ken-ichi Yoshihara
Download or read book Weakly Dependent Stochastic Sequences and Their Applications: Statistical inference based on weakly dependent data written by Ken-ichi Yoshihara and published by . This book was released on 1992 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Developments in Time Series Analysis by : T. Subba Rao
Download or read book Developments in Time Series Analysis written by T. Subba Rao and published by CRC Press. This book was released on 1993-07-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 27 papers, written by time series analysts, dealing with statistical theory, methodology and applications. The emphasis is on the recent developments in the analysis of linear, onlinear (non-Gaussian), stationary and nonstationary time series. The topics include cointegration, estimation and asymptotic theory, Kalman filtering, nonparametric statistical inference, long memory models, nonlinear models, spectral analysis of stationary and nonstationary processes. Quite a number of papers are devoted to modelling and analysis of real time series, and the econometricians, mathematical statisticians, communications engineers and scientists who use time series techniques and Fourier analysis should find the papers in this volume useful.
Book Synopsis Elements of Multivariate Time Series Analysis by : Gregory C. Reinsel
Download or read book Elements of Multivariate Time Series Analysis written by Gregory C. Reinsel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of methods of time series analysis in the study of multivariate time series has become of increased interest in recent years. Although the methods are rather well developed and understood for univarjate time series analysis, the situation is not so complete for the multivariate case. This book is designed to introduce the basic concepts and methods that are useful in the analysis and modeling of multivariate time series, with illustrations of these basic ideas. The development includes both traditional topics such as autocovariance and auto correlation matrices of stationary processes, properties of vector ARMA models, forecasting ARMA processes, least squares and maximum likelihood estimation techniques for vector AR and ARMA models, and model checking diagnostics for residuals, as well as topics of more recent interest for vector ARMA models such as reduced rank structure, structural indices, scalar component models, canonical correlation analyses for vector time series, multivariate unit-root models and cointegration structure, and state-space models and Kalman filtering techniques and applications. This book concentrates on the time-domain analysis of multivariate time series, and the important subject of spectral analysis is not considered here. For that topic, the reader is referred to the excellent books by Jenkins and Watts (1968), Hannan (1970), Priestley (1981), and others.
Book Synopsis Bulletin - Institute of Mathematical Statistics by : Institute of Mathematical Statistics
Download or read book Bulletin - Institute of Mathematical Statistics written by Institute of Mathematical Statistics and published by . This book was released on 1991 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 1976 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains research articles on the mathematics and applications of control theory and on those parts of optimization theory concerned with the dynamics of deterministic or stochastic systems in continuous or discrete time or otherwise dealing with differential equations, dynamics, infinite-dimensional spaces, or fundamental issues in variational analysis and geometry.
Book Synopsis Exploring Stochastic Laws by : A.V. Skorokhod
Download or read book Exploring Stochastic Laws written by A.V. Skorokhod and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Exploring Stochastic Laws".
Book Synopsis Limit Theorems For Nonlinear Cointegrating Regression by : Qiying Wang
Download or read book Limit Theorems For Nonlinear Cointegrating Regression written by Qiying Wang and published by World Scientific. This book was released on 2015-07-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the limit theorems that can be used in the development of nonlinear cointegrating regression. The topics include weak convergence to a local time process, weak convergence to a mixture of normal distributions and weak convergence to stochastic integrals. This book also investigates estimation and inference theory in nonlinear cointegrating regression.The core context of this book comes from the author and his collaborator's current researches in past years, which is wide enough to cover the knowledge bases in nonlinear cointegrating regression. It may be used as a main reference book for future researchers.