Asymptotics Nonparametrics And Time Series

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Asymptotics, Nonparametrics, and Time Series

Author : Subir Ghosh
Publisher : CRC Press
Page : 864 pages
File Size : 51,7 Mb
Release : 1999-02-18
Category : Mathematics
ISBN : 0824700511

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Asymptotics, Nonparametrics, and Time Series by Subir Ghosh Pdf

"Contains over 2500 equations and exhaustively covers not only nonparametrics but also parametric, semiparametric, frequentist, Bayesian, bootstrap, adaptive, univariate, and multivariate statistical methods, as well as practical uses of Markov chain models."

Asymptotic Theory of Statistical Inference for Time Series

Author : Masanobu Taniguchi,Yoshihide Kakizawa
Publisher : Springer Science & Business Media
Page : 671 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461211624

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Asymptotic Theory of Statistical Inference for Time Series by Masanobu Taniguchi,Yoshihide Kakizawa Pdf

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.

Nonlinear Time Series

Author : Jianqing Fan,Qiwei Yao
Publisher : Springer Science & Business Media
Page : 565 pages
File Size : 44,5 Mb
Release : 2008-09-11
Category : Mathematics
ISBN : 9780387693958

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Nonlinear Time Series by Jianqing Fan,Qiwei Yao Pdf

This is the first book that integrates useful parametric and nonparametric techniques with time series modeling and prediction, the two important goals of time series analysis. Such a book will benefit researchers and practitioners in various fields such as econometricians, meteorologists, biologists, among others who wish to learn useful time series methods within a short period of time. The book also intends to serve as a reference or text book for graduate students in statistics and econometrics.

Asymptotic Nonparametric Statistical Analysis of Stationary Time Series

Author : Daniil Ryabko
Publisher : Unknown
Page : 77 pages
File Size : 48,7 Mb
Release : 2019
Category : Electronic books
ISBN : 3030125653

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Asymptotic Nonparametric Statistical Analysis of Stationary Time Series by Daniil Ryabko Pdf

Stationarity is a very general, qualitative assumption, that can be assessed on the basis of application specifics. It is thus a rather attractive assumption to base statistical analysis on, especially for problems for which less general qualitative assumptions, such as independence or finite memory, clearly fail. However, it has long been considered too general to be able to make statistical inference. One of the reasons for this is that rates of convergence, even of frequencies to the mean, are not available under this assumption alone. Recently, it has been shown that, while some natural and simple problems, such as homogeneity, are indeed provably impossible to solve if one only assumes that the data is stationary (or stationary ergodic), many others can be solved with rather simple and intuitive algorithms. The latter include clustering and change point estimation among others. In this volume I summarize these results. The emphasis is on asymptotic consistency, since this the strongest property one can obtain assuming stationarity alone. While for most of the problem for which a solution is found this solution is algorithmically realizable, the main objective in this area of research, the objective which is only partially attained, is to understand what is possible and what is not possible to do for stationary time series. The considered problems include homogeneity testing (the so-called two sample problem), clustering with respect to distribution, clustering with respect to independence, change point estimation, identity testing, and the general problem of composite hypotheses testing. For the latter problem, a topological criterion for the existence of a consistent test is presented. In addition, a number of open problems is presented.

Cyclostationary Processes and Time Series

Author : Antonio Napolitano
Publisher : Academic Press
Page : 626 pages
File Size : 42,8 Mb
Release : 2019-10-24
Category : Technology & Engineering
ISBN : 9780081027370

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Cyclostationary Processes and Time Series by Antonio Napolitano Pdf

Many processes in nature arise from the interaction of periodic phenomena with random phenomena. The results are processes that are not periodic, but whose statistical functions are periodic functions of time. These processes are called cyclostationary and are an appropriate mathematical model for signals encountered in many fields including communications, radar, sonar, telemetry, acoustics, mechanics, econometrics, astronomy, and biology. Cyclostationary Processes and Time Series: Theory, Applications, and Generalizations addresses these issues and includes the following key features. Presents the foundations and developments of the second- and higher-order theory of cyclostationary signals Performs signal analysis using both the classical stochastic process approach and the functional approach for time series Provides applications in signal detection and estimation, filtering, parameter estimation, source location, modulation format classification, and biological signal characterization Includes algorithms for cyclic spectral analysis along with Matlab/Octave code Provides generalizations of the classical cyclostationary model in order to account for relative motion between transmitter and receiver and describe irregular statistical cyclicity in the data

Nonparametric Methods in Statistics and Related Topics

Author : Madan Lal Puri
Publisher : Walter de Gruyter
Page : 804 pages
File Size : 48,6 Mb
Release : 2013-02-06
Category : Mathematics
ISBN : 9783110917819

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Nonparametric Methods in Statistics and Related Topics by Madan Lal Puri Pdf

Professor Puri is one of the most versatile and prolific researchers in the world in mathematical statistics. His research areas include nonparametric statistics, order statistics, limit theory under mixing, time series, splines, tests of normality, generalized inverses of matrices and related topics, stochastic processes, statistics of directional data, random sets, and fuzzy sets and fuzzy measures. His fundamental contributions in developing new rank-based methods and precise evaluation of the standard procedures, asymptotic expansions of distributions of rank statistics, as well as large deviation results concerning them, span such areas as analysis of variance, analysis of covariance, multivariate analysis, and time series, to mention a few. His in-depth analysis has resulted in pioneering research contributions to prominent journals that have substantial impact on current research. This book together with the other two volumes (Volume 2: Probability Theory and Extreme Value Theory; Volume 3: Time Series, Fuzzy Analysis and Miscellaneous Topics), are a concerted effort to make his research works easily available to the research community. The sheer volume of the research output by him and his collaborators, coupled with the broad spectrum of the subject matters investigated, and the great number of outlets where the papers were published, attach special significance in making these works easily accessible. The papers selected for inclusion in this work have been classified into three volumes each consisting of several parts. All three volumes carry a final part consisting of the contents of the other two, as well as the complete list of Professor Puri's publications.

Asymptotics in Statistics and Probability

Author : Madan L. Puri
Publisher : Walter de Gruyter GmbH & Co KG
Page : 456 pages
File Size : 45,8 Mb
Release : 2018-11-05
Category : Mathematics
ISBN : 9783110942002

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Asymptotics in Statistics and Probability by Madan L. Puri Pdf

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Nonparametric Functional Data Analysis

Author : Frédéric Ferraty,Philippe Vieu
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 42,6 Mb
Release : 2006-11-22
Category : Mathematics
ISBN : 9780387366203

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Nonparametric Functional Data Analysis by Frédéric Ferraty,Philippe Vieu Pdf

Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied through parameter-free statistical ideas. At the same time it shows how functional data can be studied through parameter-free statistical ideas, and offers an original presentation of new nonparametric statistical methods for functional data analysis.

Research Papers in Statistical Inference for Time Series and Related Models

Author : Yan Liu,Junichi Hirukawa,Yoshihide Kakizawa
Publisher : Springer Nature
Page : 591 pages
File Size : 44,5 Mb
Release : 2023-05-31
Category : Mathematics
ISBN : 9789819908035

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Research Papers in Statistical Inference for Time Series and Related Models by Yan Liu,Junichi Hirukawa,Yoshihide Kakizawa Pdf

This book compiles theoretical developments on statistical inference for time series and related models in honor of Masanobu Taniguchi's 70th birthday. It covers models such as long-range dependence models, nonlinear conditionally heteroscedastic time series, locally stationary processes, integer-valued time series, Lévy Processes, complex-valued time series, categorical time series, exclusive topic models, and copula models. Many cutting-edge methods such as empirical likelihood methods, quantile regression, portmanteau tests, rank-based inference, change-point detection, testing for the goodness-of-fit, higher-order asymptotic expansion, minimum contrast estimation, optimal transportation, and topological methods are proposed, considered, or applied to complex data based on the statistical inference for stochastic processes. The performances of these methods are illustrated by a variety of data analyses. This collection of original papers provides the reader with comprehensive and state-of-the-art theoretical works on time series and related models. It contains deep and profound treatments of the asymptotic theory of statistical inference. In addition, many specialized methodologies based on the asymptotic theory are presented in a simple way for a wide variety of statistical models. This Festschrift finds its core audiences in statistics, signal processing, and econometrics.

Nonparametric Statistical Inference

Author : Jean Dickinson Gibbons,Subhabrata Chakraborti
Publisher : CRC Press
Page : 350 pages
File Size : 41,9 Mb
Release : 2014-03-10
Category : Mathematics
ISBN : 9781135532017

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Nonparametric Statistical Inference by Jean Dickinson Gibbons,Subhabrata Chakraborti Pdf

Thoroughly revised and reorganized, the fourth edition presents in-depth coverage of the theory and methods of the most widely used nonparametric procedures in statistical analysis and offers example applications appropriate for all areas of the social, behavioral, and life sciences. The book presents new material on the quantiles, the calculation of exact and simulated power, multiple comparisons, additional goodness-of-fit tests, methods of analysis of count data, and modern computer applications using MINITAB, SAS, and STATXACT. It includes tabular guides for simplified applications of tests and finding P values and confidence interval estimates.

Nonparametric Regression and Spline Smoothing

Author : Randall L. Eubank
Publisher : CRC Press
Page : 359 pages
File Size : 52,5 Mb
Release : 1999-02-09
Category : Mathematics
ISBN : 9781482273144

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Nonparametric Regression and Spline Smoothing by Randall L. Eubank Pdf

Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators; detailed asymptotics for polynomial regression; testing goodness-of-fit; estimation in partially linear models; practical aspects, problems and methods for co

Nonparametric Statistical Methods and Related Topics

Author : Francisco J. Samaniego,George G. Roussas,Jiming Jiang
Publisher : World Scientific
Page : 479 pages
File Size : 48,5 Mb
Release : 2011-09-16
Category : Mathematics
ISBN : 9789814366564

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Nonparametric Statistical Methods and Related Topics by Francisco J. Samaniego,George G. Roussas,Jiming Jiang Pdf

This volume consists of 22 research papers by leading researchers in Probability and Statistics. Many of the papers are focused on themes that Professor Bhattacharya has published on research. Topics of special interest include nonparametric inference, nonparametric curve fitting, linear model theory, Bayesian nonparametrics, change point problems, time series analysis and asymptotic theory. This volume presents state-of-the-art research in statistical theory, with an emphasis on nonparametric inference, linear model theory, time series analysis and asymptotic theory. It will serve as a valuable reference to the statistics research community as well as to practitioners who utilize methodology in these areas of emphasis.

Bayesian Thinking, Modeling and Computation

Author : Anonim
Publisher : Elsevier
Page : 1062 pages
File Size : 41,6 Mb
Release : 2005-11-29
Category : Mathematics
ISBN : 9780080461175

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Bayesian Thinking, Modeling and Computation by Anonim Pdf

This volume describes how to develop Bayesian thinking, modelling and computation both from philosophical, methodological and application point of view. It further describes parametric and nonparametric Bayesian methods for modelling and how to use modern computational methods to summarize inferences using simulation. The book covers wide range of topics including objective and subjective Bayesian inferences with a variety of applications in modelling categorical, survival, spatial, spatiotemporal, Epidemiological, software reliability, small area and micro array data. The book concludes with a chapter on how to teach Bayesian thoughts to nonstatisticians. Critical thinking on causal effects Objective Bayesian philosophy Nonparametric Bayesian methodology Simulation based computing techniques Bioinformatics and Biostatistics

Recent Advances in Estimating Nonlinear Models

Author : Jun Ma,Mark Wohar
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 40,5 Mb
Release : 2013-09-24
Category : Business & Economics
ISBN : 9781461480600

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Recent Advances in Estimating Nonlinear Models by Jun Ma,Mark Wohar Pdf

Nonlinear models have been used extensively in the areas of economics and finance. Recent literature on the topic has shown that a large number of series exhibit nonlinear dynamics as opposed to the alternative--linear dynamics. Incorporating these concepts involves deriving and estimating nonlinear time series models, and these have typically taken the form of Threshold Autoregression (TAR) models, Exponential Smooth Transition (ESTAR) models, and Markov Switching (MS) models, among several others. This edited volume provides a timely overview of nonlinear estimation techniques, offering new methods and insights into nonlinear time series analysis. It features cutting-edge research from leading academics in economics, finance, and business management, and will focus on such topics as Zero-Information-Limit-Conditions, using Markov Switching Models to analyze economics series, and how best to distinguish between competing nonlinear models. Principles and techniques in this book will appeal to econometricians, finance professors teaching quantitative finance, researchers, and graduate students interested in learning how to apply advances in nonlinear time series modeling to solve complex problems in economics and finance.