Non-Stationary Stochastic Processes Estimation

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311132625X
Total Pages : 381 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Non-Stationary Stochastic Processes Estimation by : Maksym Luz

Download or read book Non-Stationary Stochastic Processes Estimation written by Maksym Luz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-05-20 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of forecasting future values of economic and physical processes, the problem of restoring lost information, cleaning signals or other data observations from noise, is magnified in an information-laden word. Methods of stochastic processes estimation depend on two main factors. The first factor is construction of a model of the process being investigated. The second factor is the available information about the structure of the process under consideration. In this book, we propose results of the investigation of the problem of mean square optimal estimation (extrapolation, interpolation, and filtering) of linear functionals depending on unobserved values of stochastic sequences and processes with periodically stationary and long memory multiplicative seasonal increments. Formulas for calculating the mean square errors and the spectral characteristics of the optimal estimates of the functionals are derived in the case of spectral certainty, where spectral structure of the considered sequences and processes are exactly known. In the case where spectral densities of the sequences and processes are not known exactly while some sets of admissible spectral densities are given, we apply the minimax-robust method of estimation.

Non-Stationary Stochastic Processes Estimation

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111325628
Total Pages : 310 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Non-Stationary Stochastic Processes Estimation by : Maksym Luz

Download or read book Non-Stationary Stochastic Processes Estimation written by Maksym Luz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-05-20 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of forecasting future values of economic and physical processes, the problem of restoring lost information, cleaning signals or other data observations from noise, is magnified in an information-laden word. Methods of stochastic processes estimation depend on two main factors. The first factor is construction of a model of the process being investigated. The second factor is the available information about the structure of the process under consideration. In this book, we propose results of the investigation of the problem of mean square optimal estimation (extrapolation, interpolation, and filtering) of linear functionals depending on unobserved values of stochastic sequences and processes with periodically stationary and long memory multiplicative seasonal increments. Formulas for calculating the mean square errors and the spectral characteristics of the optimal estimates of the functionals are derived in the case of spectral certainty, where spectral structure of the considered sequences and processes are exactly known. In the case where spectral densities of the sequences and processes are not known exactly while some sets of admissible spectral densities are given, we apply the minimax-robust method of estimation.

Stationary Stochastic Processes for Scientists and Engineers

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Author :
Publisher : CRC Press
ISBN 13 : 1466586192
Total Pages : 316 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Stationary Stochastic Processes for Scientists and Engineers by : Georg Lindgren

Download or read book Stationary Stochastic Processes for Scientists and Engineers written by Georg Lindgren and published by CRC Press. This book was released on 2013-10-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for a one-semester course, this text teaches students how to use stochastic processes efficiently. Carefully balancing mathematical rigor and ease of exposition, the book provides students with a sufficient understanding of the theory and a practical appreciation of how it is used in real-life situations. Special emphasis is on the interpretation of various statistical models and concepts as well as the types of questions statistical analysis can answer. To enable hands-on practice, MATLAB code is available online.

Estimation and Modeling of Multidimensional Non-stationary Stochastic Processes

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Publisher :
ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.:/5 (156 download)

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Book Synopsis Estimation and Modeling of Multidimensional Non-stationary Stochastic Processes by : Alain Charles Louis Briançon

Download or read book Estimation and Modeling of Multidimensional Non-stationary Stochastic Processes written by Alain Charles Louis Briançon and published by . This book was released on 1986 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonparametric Statistics for Stochastic Processes

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461217180
Total Pages : 219 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Nonparametric Statistics for Stochastic Processes by : D. Bosq

Download or read book Nonparametric Statistics for Stochastic Processes written by D. Bosq and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the theory and applications of nonparametic functional estimation and prediction. Chapter 1 provides an overview of inequalities and limit theorems for strong mixing processes. Density and regression estimation in discrete time are studied in Chapter 2 and 3. The special rates of convergence which appear in continuous time are presented in Chapters 4 and 5. This second edition is extensively revised and it contains two new chapters. Chapter 6 discusses the surprising local time density estimator. Chapter 7 gives a detailed account of implementation of nonparametric method and practical examples in economics, finance and physics. Comarison with ARMA and ARCH methods shows the efficiency of nonparametric forecasting. The prerequisite is a knowledge of classical probability theory and statistics. Denis Bosq is Professor of Statistics at the Unviersity of Paris 6 (Pierre et Marie Curie). He is Editor-in-Chief of "Statistical Inference for Stochastic Processes" and an editor of "Journal of Nonparametric Statistics". He is an elected member of the International Statistical Institute. He has published about 90 papers or works in nonparametric statistics and four books.

Existence, Interpretation and Estimation of the Evolutionary Power Spectrum of Non-stationary Stochastic Processes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (643 download)

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Book Synopsis Existence, Interpretation and Estimation of the Evolutionary Power Spectrum of Non-stationary Stochastic Processes by : M. Y. Hussain

Download or read book Existence, Interpretation and Estimation of the Evolutionary Power Spectrum of Non-stationary Stochastic Processes written by M. Y. Hussain and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Change-Point Analysis in Nonstationary Stochastic Models

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Author :
Publisher : CRC Press
ISBN 13 : 1498755976
Total Pages : 366 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Change-Point Analysis in Nonstationary Stochastic Models by : Boris Brodsky

Download or read book Change-Point Analysis in Nonstationary Stochastic Models written by Boris Brodsky and published by CRC Press. This book was released on 2016-12-12 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the development of methods for detection and estimation of changes in complex systems. These systems are generally described by nonstationary stochastic models, which comprise both static and dynamic regimes, linear and nonlinear dynamics, and constant and time-variant structures of such systems. It covers both retrospective and sequential problems, particularly theoretical methods of optimal detection. Such methods are constructed and their characteristics are analyzed both theoretically and experimentally. Suitable for researchers working in change-point analysis and stochastic modelling, the book includes theoretical details combined with computer simulations and practical applications. Its rigorous approach will be appreciated by those looking to delve into the details of the methods, as well as those looking to apply them.

Nonstationary Stochastic Processes And Their Applications - Proceedings Of The Workshop

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Author :
Publisher : World Scientific
ISBN 13 : 9814554502
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonstationary Stochastic Processes And Their Applications - Proceedings Of The Workshop by : Abolghassem G Miamee

Download or read book Nonstationary Stochastic Processes And Their Applications - Proceedings Of The Workshop written by Abolghassem G Miamee and published by World Scientific. This book was released on 1992-08-08 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the workshop was to bring together researchers working in a broad spectrum of nonstationary stochastic processes to present their findings and techniques for analyzing the growing field of nonstationary stochastic processes. Researchers from both engineering and mathematics communities shared their sometimes different, but complementing, point of views on the recent developments in the theory and applications of nonstationary stochastic processes. As such, this volume will be of interest to mathematicians, probabilists, and engineers, and it is hoped that this will stimulate a significant amount of research in this field.

Estimation of Stochastic Processes with Missing Observations

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Author :
Publisher :
ISBN 13 : 9781536158908
Total Pages : 0 pages
Book Rating : 4.1/5 (589 download)

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Book Synopsis Estimation of Stochastic Processes with Missing Observations by : Mikhail Moklyachuk

Download or read book Estimation of Stochastic Processes with Missing Observations written by Mikhail Moklyachuk and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We propose results of the investigation of the problem of mean square optimal estimation of linear functionals constructed from unobserved values of stationary stochastic processes. Estimates are based on observations of the processes with additive stationary noise process. The aim of the book is to develop methods for finding the optimal estimates of the functionals in the case where some observations are missing. Formulas for computing values of the mean-square errors and the spectral characteristics of the optimal linear estimates of functionals are derived in the case of spectral certainty, where the spectral densities of the processes are exactly known. The minimax robust method of estimation is applied in the case of spectral uncertainty, where the spectral densities of the processes are not known exactly while some classes of admissible spectral densities are given. The formulas that determine the least favourable spectral densities and the minimax spectral characteristics of the optimal estimates of functionals are proposed for some special classes of admissible densities.

Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119663520
Total Pages : 314 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences by : Maksym Luz

Download or read book Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences written by Maksym Luz and published by John Wiley & Sons. This book was released on 2019-09-20 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Estimation of Stochastic Processes is intended for researchers in the field of econometrics, financial mathematics, statistics or signal processing. This book gives a deep understanding of spectral theory and estimation techniques for stochastic processes with stationary increments. It focuses on the estimation of functionals of unobserved values for stochastic processes with stationary increments, including ARIMA processes, seasonal time series and a class of cointegrated sequences. Furthermore, this book presents solutions to extrapolation (forecast), interpolation (missed values estimation) and filtering (smoothing) problems based on observations with and without noise, in discrete and continuous time domains. Extending the classical approach applied when the spectral densities of the processes are known, the minimax method of estimation is developed for a case where the spectral information is incomplete and the relations that determine the least favorable spectral densities for the optimal estimations are found.

Stochastic Models for Time Series

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Publisher : Springer
ISBN 13 : 3319769383
Total Pages : 322 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Stochastic Models for Time Series by : Paul Doukhan

Download or read book Stochastic Models for Time Series written by Paul Doukhan and published by Springer. This book was released on 2018-04-17 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents essential tools for modelling non-linear time series. The first part of the book describes the main standard tools of probability and statistics that directly apply to the time series context to obtain a wide range of modelling possibilities. Functional estimation and bootstrap are discussed, and stationarity is reviewed. The second part describes a number of tools from Gaussian chaos and proposes a tour of linear time series models. It goes on to address nonlinearity from polynomial or chaotic models for which explicit expansions are available, then turns to Markov and non-Markov linear models and discusses Bernoulli shifts time series models. Finally, the volume focuses on the limit theory, starting with the ergodic theorem, which is seen as the first step for statistics of time series. It defines the distributional range to obtain generic tools for limit theory under long or short-range dependences (LRD/SRD) and explains examples of LRD behaviours. More general techniques (central limit theorems) are described under SRD; mixing and weak dependence are also reviewed. In closing, it describes moment techniques together with their relations to cumulant sums as well as an application to kernel type estimation.The appendix reviews basic probability theory facts and discusses useful laws stemming from the Gaussian laws as well as the basic principles of probability, and is completed by R-scripts used for the figures. Richly illustrated with examples and simulations, the book is recommended for advanced master courses for mathematicians just entering the field of time series, and statisticians who want more mathematical insights into the background of non-linear time series.

Prediction for Non-stationary Stochastic Processes

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Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (613 download)

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Book Synopsis Prediction for Non-stationary Stochastic Processes by : Michael D. Godfrey

Download or read book Prediction for Non-stationary Stochastic Processes written by Michael D. Godfrey and published by . This book was released on 1965 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stationary Stochastic Processes

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Publisher : CRC Press
ISBN 13 : 1466557796
Total Pages : 378 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Stationary Stochastic Processes by : Georg Lindgren

Download or read book Stationary Stochastic Processes written by Georg Lindgren and published by CRC Press. This book was released on 2012-10-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field’s widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on stationary point processes. Features Presents and illustrates the fundamental correlation and spectral methods for stochastic processes and random fields Explains how the basic theory is used in special applications like detection theory and signal processing, spatial statistics, and reliability Motivates mathematical theory from a statistical model-building viewpoint Introduces a selection of special topics, including extreme value theory, filter theory, long-range dependence, and point processes Provides more than 100 exercises with hints to solutions and selected full solutions This book covers key topics such as ergodicity, crossing problems, and extremes, and opens the doors to a selection of special topics, like extreme value theory, filter theory, long-range dependence, and point processes, and includes many exercises and examples to illustrate the theory. Precise in mathematical details without being pedantic, Stationary Stochastic Processes: Theory and Applications is for the student with some experience with stochastic processes and a desire for deeper understanding without getting bogged down in abstract mathematics.

Formulation and Implementation of a Practical Algorithm for the Adaptive Estimation of the State and State Noise Characteristics of a Commonly Occuring Type of Non-stationary Stochastic Process

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Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Formulation and Implementation of a Practical Algorithm for the Adaptive Estimation of the State and State Noise Characteristics of a Commonly Occuring Type of Non-stationary Stochastic Process by : Stephen A. Whitmore

Download or read book Formulation and Implementation of a Practical Algorithm for the Adaptive Estimation of the State and State Noise Characteristics of a Commonly Occuring Type of Non-stationary Stochastic Process written by Stephen A. Whitmore and published by . This book was released on 1983 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Finance and Financial Econometrics

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Publisher : CRC Press
ISBN 13 : 9781498775779
Total Pages : 500 pages
Book Rating : 4.7/5 (757 download)

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Book Synopsis Computational Finance and Financial Econometrics by : Eric Zivot

Download or read book Computational Finance and Financial Econometrics written by Eric Zivot and published by CRC Press. This book was released on 2017-01-15 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical, programming and statistical tools used in the real world analysis and modeling of financial data. The tools are used to model asset returns, measure risk, and construct optimized portfolios using the open source R programming language and Microsoft Excel. The author explains how to build probability models for asset returns, to apply statistical techniques to evaluate if asset returns are normally distributed, to use Monte Carlo simulation and bootstrapping techniques to evaluate statistical models, and to use optimization methods to construct efficient portfolios.

Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1786305038
Total Pages : 308 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences by : Maksym Luz

Download or read book Estimation of Stochastic Processes with Stationary Increments and Cointegrated Sequences written by Maksym Luz and published by John Wiley & Sons. This book was released on 2019-12-12 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Estimation of Stochastic Processes is intended for researchers in the field of econometrics, financial mathematics, statistics or signal processing. This book gives a deep understanding of spectral theory and estimation techniques for stochastic processes with stationary increments. It focuses on the estimation of functionals of unobserved values for stochastic processes with stationary increments, including ARIMA processes, seasonal time series and a class of cointegrated sequences. Furthermore, this book presents solutions to extrapolation (forecast), interpolation (missed values estimation) and filtering (smoothing) problems based on observations with and without noise, in discrete and continuous time domains. Extending the classical approach applied when the spectral densities of the processes are known, the minimax method of estimation is developed for a case where the spectral information is incomplete and the relations that determine the least favorable spectral densities for the optimal estimations are found.

An Author and Permuted Title Index to Selected Statistical Journals

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Author :
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis An Author and Permuted Title Index to Selected Statistical Journals by :

Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by and published by . This book was released on 1970 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: