Higher Order Statistics

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Blind Estimation Using Higher-Order Statistics

Author : Asoke Kumar Nandi
Publisher : Springer Science & Business Media
ISBN 13 : 1475729855
Total Pages : 290 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Blind Estimation Using Higher-Order Statistics by : Asoke Kumar Nandi

Download or read book Blind Estimation Using Higher-Order Statistics written by Asoke Kumar Nandi and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the signal-processing research community, a great deal of progress in higher-order statistics (HOS) began in the mid-1980s. These last fifteen years have witnessed a large number of theoretical developments as well as real applications. Blind Estimation Using Higher-Order Statistics focuses on the blind estimation area and records some of the major developments in this field. Blind Estimation Using Higher-Order Statistics is a welcome addition to the few books on the subject of HOS and is the first major publication devoted to covering blind estimation using HOS. The book provides the reader with an introduction to HOS and goes on to illustrate its use in blind signal equalisation (which has many applications including (mobile) communications), blind system identification, and blind sources separation (a generic problem in signal processing with many applications including radar, sonar and communications). There is also a chapter devoted to robust cumulant estimation, an important problem where HOS results have been encouraging. Blind Estimation Using Higher-Order Statistics is an invaluable reference for researchers, professionals and graduate students working in signal processing and related areas.

Approximate Distributions of Order Statistics

Author : Rolf-Dieter Reiss
Publisher : Springer Science & Business Media
ISBN 13 : 1461396204
Total Pages : 363 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Approximate Distributions of Order Statistics by : Rolf-Dieter Reiss

Download or read book Approximate Distributions of Order Statistics written by Rolf-Dieter Reiss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as a unified and mathematically rigorous treatment of some recent developments of the asymptotic distribution theory of order statistics (including the extreme order statistics) that are relevant for statistical theory and its applications. Particular emphasis is placed on results concern ing the accuracy oflimit theorems, on higher order approximations, and other approximations in quite a general sense. Contrary to the classical limit theorems that primarily concern the weak convergence of distribution functions, our main results will be formulated in terms of the variational and the Hellinger distance. These results will form the proper springboard for the investigation of parametric approximations of nonparametric models of joint distributions of order statistics. The approxi mating models include normal as well as extreme value models. Several applications will show the usefulness of this approach. Other recent developments in statistics like nonparametric curve estima tion and the bootstrap method will be studied as far as order statistics are concerned. 1n connection with this, graphical methods will, to some extent, be explored.

Higher-order Statistical Signal Processing

Author : Boualem Boashash
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Higher-order Statistical Signal Processing by : Boualem Boashash

Download or read book Higher-order Statistical Signal Processing written by Boualem Boashash and published by . This book was released on 1995 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Higher-Order Statistical Signal Processing brings together some most recent innovations in the field of higher-order statistical signal processing. It is structured to provide a comprehensive understanding of the fundamentals of the discipline, as well as a treatment of recent advances.

Power Quality Measurement and Analysis Using Higher-Order Statistics

Author : Olivia Florencias-Oliveros
Publisher : John Wiley & Sons
ISBN 13 : 1119747740
Total Pages : 196 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Power Quality Measurement and Analysis Using Higher-Order Statistics by : Olivia Florencias-Oliveros

Download or read book Power Quality Measurement and Analysis Using Higher-Order Statistics written by Olivia Florencias-Oliveros and published by John Wiley & Sons. This book was released on 2022-11-04 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: POWER QUALITY MEASUREMENT AND ANALYSIS USING HIGHER-ORDER STATISTICS Help protect your network with this important reference work on cyber security Power quality (PQ) in electrotechnical systems refers to a set of characteristics related to the movement of energy and the delivery of voltage to consumers in the highest standard. As electricity networks change and adapt to new technologies and concepts of energy within a future Smart Grid, it has become clear that standardized methods by which stability and accuracy of electrical service along a network are currently measured are no longer enough to solve inherent issues in service and ensure established requirements are met. Power Quality Measurement and Analysis using Higher-Order Statistics reflects the latest information related to PQ (Power Quality) analysis solutions, particularly that related to the implementation of new quality indices in the domain of higher-order statistics (HOS). The authors—noted experts on the topic—carefully address the detection of PQ problems from two perspectives: the detection of specific events that occur on networks in isolation and continuous monitoring detection. In doing so, the authors demonstrate the use of HOS in current waveform models, enabling the characterization of different power circuit topologies and loads. This book thereby expertly explores the benefits of using HOS, bridging the gap between signal processing and power, and building a better understanding for readers. Power Quality Measurement and Analysis using Higher-Order Statistics readers will also find: A unique methodology for PQ analysis through its combination of HOS and PQ monitoring A proposal for new measurement solutions that can be easily implemented into modern instrumentation The detection of PQ problems from multiple perspectives The use of HOS in current waveform models, which enables the characterization of different power circuit topologies and loads Pitched at a specialized level, Power Quality Measurement and Analysis is an essential reference for researchers, academics, and industry insiders, as well as advanced students in this field.

The Advanced Theory of Statistics

Author : Maurice George Kendall
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Advanced Theory of Statistics by : Maurice George Kendall

Download or read book The Advanced Theory of Statistics written by Maurice George Kendall and published by . This book was released on 1963 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introductory Business Statistics 2e

Author : Alexander Holmes
Publisher :
ISBN 13 :
Total Pages : 1801 pages
Book Rating : 4./5 ( download)

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Book Synopsis Introductory Business Statistics 2e by : Alexander Holmes

Download or read book Introductory Business Statistics 2e written by Alexander Holmes and published by . This book was released on 2023-12-13 with total page 1801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory Business Statistics 2e aligns with the topics and objectives of the typical one-semester statistics course for business, economics, and related majors. The text provides detailed and supportive explanations and extensive step-by-step walkthroughs. The author places a significant emphasis on the development and practical application of formulas so that students have a deeper understanding of their interpretation and application of data. Problems and exercises are largely centered on business topics, though other applications are provided in order to increase relevance and showcase the critical role of statistics in a number of fields and real-world contexts. The second edition retains the organization of the original text. Based on extensive feedback from adopters and students, the revision focused on improving currency and relevance, particularly in examples and problems. This is an adaptation of Introductory Business Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.

Multivariate Statistical Methods

Author : György Terdik
Publisher : Springer Nature
ISBN 13 : 3030813924
Total Pages : 424 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Multivariate Statistical Methods by : György Terdik

Download or read book Multivariate Statistical Methods written by György Terdik and published by Springer Nature. This book was released on 2021-10-26 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a general method for deriving higher-order statistics of multivariate distributions with simple algorithms that allow for actual calculations. Multivariate nonlinear statistical models require the study of higher-order moments and cumulants. The main tool used for the definitions is the tensor derivative, leading to several useful expressions concerning Hermite polynomials, moments, cumulants, skewness, and kurtosis. A general test of multivariate skewness and kurtosis is obtained from this treatment. Exercises are provided for each chapter to help the readers understand the methods. Lastly, the book includes a comprehensive list of references, equipping readers to explore further on their own.

Signal Analysis and Prediction

Author : Ales Prochazka
Publisher : Springer Science & Business Media
ISBN 13 : 9780817640422
Total Pages : 536 pages
Book Rating : 4.6/5 (44 download)

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Book Synopsis Signal Analysis and Prediction by : Ales Prochazka

Download or read book Signal Analysis and Prediction written by Ales Prochazka and published by Springer Science & Business Media. This book was released on 1998-12-23 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of signal analysis represent a broad research topic with applications in many disciplines, including engineering, technology, biomedicine, seismography, eco nometrics, and many others based upon the processing of observed variables. Even though these applications are widely different, the mathematical background be hind them is similar and includes the use of the discrete Fourier transform and z-transform for signal analysis, and both linear and non-linear methods for signal identification, modelling, prediction, segmentation, and classification. These meth ods are in many cases closely related to optimization problems, statistical methods, and artificial neural networks. This book incorporates a collection of research papers based upon selected contri butions presented at the First European Conference on Signal Analysis and Predic tion (ECSAP-97) in Prague, Czech Republic, held June 24-27, 1997 at the Strahov Monastery. Even though the Conference was intended as a European Conference, at first initiated by the European Association for Signal Processing (EURASIP), it was very gratifying that it also drew significant support from other important scientific societies, including the lEE, Signal Processing Society of IEEE, and the Acoustical Society of America. The organizing committee was pleased that the re sponse from the academic community to participate at this Conference was very large; 128 summaries written by 242 authors from 36 countries were received. In addition, the Conference qualified under the Continuing Professional Development Scheme to provide PD units for participants and contributors.

Advances in Stochastic Simulation Methods

Author : N. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461213185
Total Pages : 395 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advances in Stochastic Simulation Methods by : N. Balakrishnan

Download or read book Advances in Stochastic Simulation Methods written by N. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a volume consisting of selected papers that were presented at the 3rd St. Petersburg Workshop on Simulation held at St. Petersburg, Russia, during June 28-July 3, 1998. The Workshop is a regular international event devoted to mathematical problems of simulation and applied statistics organized by the Department of Stochastic Simulation at St. Petersburg State University in cooperation with INFORMS College on Simulation (USA). Its main purpose is to exchange ideas between researchers from Russia and from the West as well as from other coun tries throughout the World. The 1st Workshop was held during May 24-28, 1994, and the 2nd workshop was held during June 18-21, 1996. The selected proceedings of the 2nd Workshop was published as a special issue of the Journal of Statistical Planning and Inference. Russian mathematical tradition has been formed by such genius as Tchebysh eff, Markov and Kolmogorov whose ideas have formed the basis for contempo rary probabilistic models. However, for many decades now, Russian scholars have been isolated from their colleagues in the West and as a result their mathe matical contributions have not been widely known. One of the primary reasons for these workshops is to bring the contributions of Russian scholars into lime light and we sincerely hope that this volume helps in this specific purpose.

Handbook of Blind Source Separation

Author : Pierre Comon
Publisher : Academic Press
ISBN 13 : 0080884946
Total Pages : 856 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Handbook of Blind Source Separation by : Pierre Comon

Download or read book Handbook of Blind Source Separation written by Pierre Comon and published by Academic Press. This book was released on 2010-02-17 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by the people who were forerunners in creating the field, together with contributions from 34 leading international experts, this handbook provides the definitive reference on Blind Source Separation, giving a broad and comprehensive description of all the core principles and methods, numerical algorithms and major applications in the fields of telecommunications, biomedical engineering and audio, acoustic and speech processing. Going beyond a machine learning perspective, the book reflects recent results in signal processing and numerical analysis, and includes topics such as optimization criteria, mathematical tools, the design of numerical algorithms, convolutive mixtures, and time frequency approaches. This Handbook is an ideal reference for university researchers, R&D engineers and graduates wishing to learn the core principles, methods, algorithms, and applications of Blind Source Separation. - Covers the principles and major techniques and methods in one book - Edited by the pioneers in the field with contributions from 34 of the world's experts - Describes the main existing numerical algorithms and gives practical advice on their design - Covers the latest cutting edge topics: second order methods; algebraic identification of under-determined mixtures, time-frequency methods, Bayesian approaches, blind identification under non negativity approaches, semi-blind methods for communications - Shows the applications of the methods to key application areas such as telecommunications, biomedical engineering, speech, acoustic, audio and music processing, while also giving a general method for developing applications

Signal Processing and Image Processing for Acoustical Imaging

Author : Woon Siong Gan
Publisher : Springer
ISBN 13 : 9789811055492
Total Pages : 83 pages
Book Rating : 4.0/5 (554 download)

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Book Synopsis Signal Processing and Image Processing for Acoustical Imaging by : Woon Siong Gan

Download or read book Signal Processing and Image Processing for Acoustical Imaging written by Woon Siong Gan and published by Springer. This book was released on 2020-04-04 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the applications of signal and image processing in acoustical imaging. It first describes the basic tools involved – the 2D transform, fast Fourier transform (FFT) and applications, and deconvolution – before introducing readers to higher-order statistics, wavelets, and neural networks. It also addresses the important topic of digital signal processing, focusing on the example of homomorphic signal processing. The book then details the design of digital filters and array signal processing, and lastly examines applications in image processing: image enhancement and optimization, image restoration, and image compression.

Analysis of Parallel Spike Trains

Author : Sonja Grün
Publisher : Springer Science & Business Media
ISBN 13 : 1441956751
Total Pages : 447 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Analysis of Parallel Spike Trains by : Sonja Grün

Download or read book Analysis of Parallel Spike Trains written by Sonja Grün and published by Springer Science & Business Media. This book was released on 2010-08-18 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solid and transparent data analysis is the most important basis for reliable interpretation of experiments. The technique of parallel spike train recordings using multi-electrode arrangements has been available for many decades now, but only recently gained wide popularity among electro physiologists. Many traditional analysis methods are based on firing rates obtained by trial-averaging, and some of the assumptions for such procedures to work can be ignored without serious consequences. The situation is different for correlation analysis, the result of which may be considerably distorted if certain critical assumptions are violated. The focus of this book is on concepts and methods of correlation analysis (synchrony, patterns, rate covariance), combined with a solid introduction into approaches for single spike trains, which represent the basis of correlations analysis. The book also emphasizes pitfalls and potential wrong interpretations of data due to violations of critical assumptions.

High-Dimensional Statistics

Author : Martin J. Wainwright
Publisher : Cambridge University Press
ISBN 13 : 1108498027
Total Pages : 571 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Statistics by : Martin J. Wainwright

Download or read book High-Dimensional Statistics written by Martin J. Wainwright and published by Cambridge University Press. This book was released on 2019-02-21 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent introductory text from a groundbreaking researcher, focusing on clarity and motivation to build intuition and understanding.

Probability Matching Priors: Higher Order Asymptotics

Author : Gauri Sankar Datta
Publisher : Springer Science & Business Media
ISBN 13 : 146122036X
Total Pages : 138 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Probability Matching Priors: Higher Order Asymptotics by : Gauri Sankar Datta

Download or read book Probability Matching Priors: Higher Order Asymptotics written by Gauri Sankar Datta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on the topic of probability matching priors. It targets researchers, Bayesian and frequentist; graduate students in Statistics.

Statistics for High-Dimensional Data

Author : Peter Bühlmann
Publisher : Springer Science & Business Media
ISBN 13 : 364220192X
Total Pages : 568 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Statistics for High-Dimensional Data by : Peter Bühlmann

Download or read book Statistics for High-Dimensional Data written by Peter Bühlmann and published by Springer Science & Business Media. This book was released on 2011-06-08 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern statistics deals with large and complex data sets, and consequently with models containing a large number of parameters. This book presents a detailed account of recently developed approaches, including the Lasso and versions of it for various models, boosting methods, undirected graphical modeling, and procedures controlling false positive selections. A special characteristic of the book is that it contains comprehensive mathematical theory on high-dimensional statistics combined with methodology, algorithms and illustrations with real data examples. This in-depth approach highlights the methods’ great potential and practical applicability in a variety of settings. As such, it is a valuable resource for researchers, graduate students and experts in statistics, applied mathematics and computer science.

Information Hiding

Author : Stefan Katzenbeisser
Publisher : Artech House
ISBN 13 : 1608079295
Total Pages : 319 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Information Hiding by : Stefan Katzenbeisser

Download or read book Information Hiding written by Stefan Katzenbeisser and published by Artech House. This book was released on 2016-01-01 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: A successor to the popular Artech House title Information Hiding Techniques for Steganography and Digital Watermarking, this comprehensive and up-to-date new resource gives the reader a thorough review of steganography, digital watermarking and media fingerprinting with possible applications to modern communication, and a survey of methods used to hide information in modern media. This book explores Steganography, as a means by which two or more parties may communicate using invisible or subliminal communication. "Steganalysis" is described as methods which can be used to break steganographic communication. This comprehensive resource also includes an introduction to watermarking and its methods, a means of hiding copyright data in images and discusses components of commercial multimedia applications that are subject to illegal use. This book demonstrates a working knowledge of watermarking’s pros and cons, and the legal implications of watermarking and copyright issues on the Internet.

All of Statistics

Author : Larry Wasserman
Publisher : Springer Science & Business Media
ISBN 13 : 0387217363
Total Pages : 446 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis All of Statistics by : Larry Wasserman

Download or read book All of Statistics written by Larry Wasserman and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.