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Author: Charles A. Micchelli Publisher: ISBN: Category : Linear models (Statistics) Languages : en Pages : 17
Book Description
Abstract: "We follow the interesting developments in the recent work of Milanese and Belforte [7], Belforte, Bona, and Frediani [1, 2], and Milanese and Vicino [8] and address some questions suggested by these papers on the subject of parameter estimation in linear models subject to unknown additive and bounded noise. In addition, we treat the question of model selection for a given class of signals constrained to lie in some known set. We approach this latter question by presenting two formulations of p-widths subject to measurement errors and identify optimal linear models in some concrete cases. Both stochastic and deterministic p-widths are studied."
Author: M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache Publisher: Infinite Study ISBN: 1931233683 Category : Estimation theory Languages : en Pages : 63
Author: Jorge Mateu Publisher: John Wiley & Sons ISBN: 1118441885 Category : Mathematics Languages : en Pages : 320
Book Description
A state-of-the-art presentation of optimum spatio-temporal sampling design - bridging classic ideas with modern statistical modeling concepts and the latest computational methods. Spatio-temporal Design presents a comprehensive state-of-the-art presentation combining both classical and modern treatments of network design and planning for spatial and spatio-temporal data acquisition. A common problem set is interwoven throughout the chapters, providing various perspectives to illustrate a complete insight to the problem at hand. Motivated by the high demand for statistical analysis of data that takes spatial and spatio-temporal information into account, this book incorporates ideas from the areas of time series, spatial statistics and stochastic processes, and combines them to discuss optimum spatio-temporal sampling design. Spatio-temporal Design: Advances in Efficient Data Acquisition: Provides an up-to-date account of how to collect space-time data for monitoring, with a focus on statistical aspects and the latest computational methods Discusses basic methods and distinguishes between design and model-based approaches to collecting space-time data. Features model-based frequentist design for univariate and multivariate geostatistics, and second-phase spatial sampling. Integrates common data examples and case studies throughout the book in order to demonstrate the different approaches and their integration. Includes real data sets, data generating mechanisms and simulation scenarios. Accompanied by a supporting website featuring R code. Spatio-temporal Design presents an excellent book for graduate level students as well as a valuable reference for researchers and practitioners in the fields of applied mathematics, engineering, and the environmental and health sciences.
Author: Alan E. Gelfand Publisher: CRC Press ISBN: 1420072889 Category : Mathematics Languages : en Pages : 622
Book Description
Assembling a collection of very prominent researchers in the field, the Handbook of Spatial Statistics presents a comprehensive treatment of both classical and state-of-the-art aspects of this maturing area. It takes a unified, integrated approach to the material, providing cross-references among chapters.The handbook begins with a historical intro
Author: Harry L. Van Trees Publisher: John Wiley & Sons ISBN: 0470542969 Category : Technology & Engineering Languages : en Pages : 1188
Book Description
Originally published in 1968, Harry Van Trees’s Detection, Estimation, and Modulation Theory, Part I is one of the great time-tested classics in the field of signal processing. Highly readable and practically organized, it is as imperative today for professionals, researchers, and students in optimum signal processing as it was over thirty years ago. The second edition is a thorough revision and expansion almost doubling the size of the first edition and accounting for the new developments thus making it again the most comprehensive and up-to-date treatment of the subject. With a wide range of applications such as radar, sonar, communications, seismology, biomedical engineering, and radar astronomy, among others, the important field of detection and estimation has rarely been given such expert treatment as it is here. Each chapter includes section summaries, realistic examples, and a large number of challenging problems that provide excellent study material. This volume which is Part I of a set of four volumes is the most important and widely used textbook and professional reference in the field.