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Estimates Of The Bispectrum Of Stationary Random Processes
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Book Synopsis Estimates of the Bispectrum of Stationary Random Processes by : John Winslow Van Ness
Download or read book Estimates of the Bispectrum of Stationary Random Processes written by John Winslow Van Ness and published by . This book was released on 1964 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recently interest has arisen in applications of higher order spectra and in particular in the bispectrum. Various nonlinear effects in random phenomena are studied. The bispectrum has been in Connection with oceanographic problems, among which a number of interesting phenomena such as surf beats, wave breaking, and the energy transfer between wave components can be explained only by the nonlinearity of the wave motion. The present paper discusses the bispectrum itself, some of its properties, and some assumptions on it and on the process. Intuitive reasons for choosing an estimate of the form discussed here are then given along with some convenient expressions for this estimate. Further explanation is given for the concept of cumulant functions of the process, and the statistical properties of various estimates; that is with the asymptotic bias, second-order moments, and distribution of three estimates: (1) the thirdorder moment estimate, (2) the weighted bispectral density (the bispectral distribution function) estimate, and finally (3) the estimate of the bispectral density itself. (Author).
Book Synopsis Estimation of the Bispectrum for Locally Stationary Processes by : Philip Preuß
Download or read book Estimation of the Bispectrum for Locally Stationary Processes written by Philip Preuß and published by . This book was released on 2013 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Works of Murray Rosenblatt by : Richard A. Davis
Download or read book Selected Works of Murray Rosenblatt written by Richard A. Davis and published by Springer Science & Business Media. This book was released on 2011-05-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the second half of the 20th century, Murray Rosenblatt was one of the most celebrated and leading figures in probability and statistics. Among his many contributions, Rosenblatt conducted seminal work on density estimation, central limit theorems under strong mixing conditions, spectral domain methodology, long memory processes and Markov processes. He has published over 130 papers and 5 books, many as relevant today as when they first appeared decades ago. Murray Rosenblatt was one of the founding members of the Department of Mathematics at the University of California at San Diego (UCSD) and served as advisor to over twenty PhD students. He maintains a close association with UCSD in his role as Professor Emeritus. This volume is a celebration of Murray Rosenblatt's stellar research career that spans over six decades, and includes some of his most interesting and influential papers. Several leading experts provide commentary and reflections on various directions of Murray's research portfolio.
Book Synopsis An Introduction to Bispectral Analysis and Bilinear Time Series Models by : T.S. Rao
Download or read book An Introduction to Bispectral Analysis and Bilinear Time Series Models written by T.S. Rao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of time series models has been well developed over the last thirt,y years. Both the frequenc.y domain and time domain approaches have been widely used in the analysis of linear time series models. However. many physical phenomena cannot be adequately represented by linear models; hence the necessity of nonlinear models and higher order spectra. Recently a number of nonlinear models have been proposed. In this monograph we restrict attention to one particular nonlinear model. known as the "bilinear model". The most interesting feature of such a model is that its second order covariance analysis is ve~ similar to that for a linear model. This demonstrates the importance of higher order covariance analysis for nonlinear models. For bilinear models it is also possible to obtain analytic expressions for covariances. spectra. etc. which are often difficult to obtain for other proposed nonlinear models. Estimation of bispectrum and its use in the construction of tests for linearit,y and symmetry are also discussed. All the methods are illustrated with simulated and real data. The first author would like to acknowledge the benefit he received in the preparation of this monograph from delivering a series of lectures on the topic of bilinear models at the University of Bielefeld. Ecole Normale Superieure. University of Paris (South) and the Mathematisch Cen trum. Ams terdam.
Book Synopsis Selected Works of David Brillinger by : Peter Guttorp
Download or read book Selected Works of David Brillinger written by Peter Guttorp and published by Springer Science & Business Media. This book was released on 2013-04-10 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 30 of David Brillinger's most influential papers. He is an eminent statistical scientist, having published broadly in time series and point process analysis, seismology, neurophysiology, and population biology. Each of these areas are well represented in the book. The volume has been divided into four parts, each with comments by one of Dr. Brillinger's former PhD students. His more theoretical papers have comments by Victor Panaretos from Switzerland. The area of time series has commentary by Pedro Morettin from Brazil. The biologically oriented papers are commented by Tore Schweder from Norway and Haiganoush Preisler from USA, while the point process papers have comments by Peter Guttorp from USA. In addition, the volume contains a Statistical Science interview with Dr. Brillinger, and his bibliography.
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 2180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Processes: Measurement, Analysis and Simulation by : J. Cacko
Download or read book Random Processes: Measurement, Analysis and Simulation written by J. Cacko and published by Elsevier. This book was released on 2012-12-02 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the basic topics associated with the measurement, analysis and simulation of random environmental processes which are encountered in practice when dealing with the dynamics, fatigue and reliability of structures in real environmental conditions. The treatment is self-contained and the authors have brought together and integrated the most important information relevant to this topic in order that the newcomer can see and study it as a whole. This approach should also be of interest to experienced engineers from fatigue laboratories who want to learn more about the possible methods of simulation, especially for use in real time on electrohydraulic computer-controlled loading machines.Problems of constructing a measuring system are dealt with in the first chapter. Here the authors discuss the choice of measuring conditions and locations, as well as the organization of a chain of devices for measuring and recording random environmental processes. Some experience gained from practical measurements is also presented. The recorded processes are further analysed by various methods. The choice is governed by the aims of the measurements and applications of the results. Chapter 2 is thus devoted to methods of random process evaluations for digital computers, both from the fatigue and dynamic point of view. The most important chapter is Chapter 3 as this presents a review of up-to-date methods of random process simulation with given statistical characteristics. These methods naturally follow those of random process analysis, and their results form initial data for the corresponding simulations algorithms, including occurrences of characteristic parameters of counting methods, reproduction of correlation theory characteristics and of autoregressive models. The simulation of non-stationary processes is treated in depth, taking into account their importance for practical applications and also the lack of information of this subject.The book is intended to help resolve many practical problems concerning the methods and quality of environmental process evaluation and simulation which can arise when up-to-date loading systems with computer control are being used in material, component and structural fatigue and dynamic research.
Book Synopsis Bispectral Methods of Signal Processing by : Alexander V. Totsky
Download or read book Bispectral Methods of Signal Processing written by Alexander V. Totsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-12-11 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: By studying applications in radar, telecommunications and digital image restoration, this monograph discusses signal processing techniques based on bispectral methods. Improved robustness against different forms of noise as well as preservation of phase information render this method a valuable alternative to common power-spectrum analysis used in radar object recognition, digital wireless communications, and jitter removal in images.
Book Synopsis The Annals of Mathematical Statistics by :
Download or read book The Annals of Mathematical Statistics written by and published by . This book was released on 1966 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Time Series by : David R. Brillinger
Download or read book Time Series written by David R. Brillinger and published by SIAM. This book was released on 2001-09-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text employs basic techniques of univariate and multivariate statistics for the analysis of time series and signals.
Book Synopsis Stochastic Processes: Modeling and Simulation by : D N Shanbhag
Download or read book Stochastic Processes: Modeling and Simulation written by D N Shanbhag and published by Gulf Professional Publishing. This book was released on 2003-02-24 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to volume 19 of Handbook on Statistics on Stochastic Processes: Modelling and Simulation is concerned mainly with the theme of reviewing and, in some cases, unifying with new ideas the different lines of research and developments in stochastic processes of applied flavour. This volume consists of 23 chapters addressing various topics in stochastic processes. These include, among others, those on manufacturing systems, random graphs, reliability, epidemic modelling, self-similar processes, empirical processes, time series models, extreme value therapy, applications of Markov chains, modelling with Monte Carlo techniques, and stochastic processes in subjects such as engineering, telecommunications, biology, astronomy and chemistry. particular with modelling, simulation techniques and numerical methods concerned with stochastic processes. The scope of the project involving this volume as well as volume 19 is already clarified in the preface of volume 19. The present volume completes the aim of the project and should serve as an aid to students, teachers, researchers and practitioners interested in applied stochastic processes.
Book Synopsis Journal of Research by : United States. National Bureau of Standards
Download or read book Journal of Research written by United States. National Bureau of Standards and published by . This book was released on 1964 with total page 1354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stationary Random Processes by : I︠U︡riĭ Anatolʹevich Rozanov
Download or read book Stationary Random Processes written by I︠U︡riĭ Anatolʹevich Rozanov and published by . This book was released on 1967 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Journal of Research, National Bureau of Standards by : United States. National Bureau of Standards
Download or read book Journal of Research, National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1964 with total page 1400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index to Statistics and Probability: Permuted titles. Microclimatic-Z by : Ian C. Ross
Download or read book Index to Statistics and Probability: Permuted titles. Microclimatic-Z written by Ian C. Ross and published by . This book was released on 1973 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Data written by Julius S. Bendat and published by John Wiley & Sons. This book was released on 1971 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Hundreds of updated illustrations and references
Download or read book Stationary Random Processes written by and published by . This book was released on 1963 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
