Stochastic Visibility in Random Fields

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Publisher : Springer
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ISBN 10 : 9781461226901
Pages : 175 pages
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Summary Book Review Stochastic Visibility in Random Fields :

Download or read book Stochastic Visibility in Random Fields written by Shelemyahu Zacks and published by Springer. This book was released on 2012-12-06 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph is a comprehensive summary of the research on visibility in random fields, which I have conducted with the late Professor Micha Yadin for over ten years. This research, which resulted in several published papers and technical reports (see bibliography), was motivated by some military problems, which were brought to our attention by Mr. Pete Shugart of the US Army TRADOC Systems Analysis Activity, presently called US Army TRADOC Analysis Command. The Director ofTRASANA at the time, the late Dr. Wilbur Payne, identified the problems and encouraged the support and funding of this research by the US Army. Research contracts were first administered through the Office of Naval Research, and subsequently by the Army Research Office. We are most grateful to all involved for this support and encouragement. In 1986 I administered a three-day workshop on problem solving in the area of sto chastic visibility. This workshop was held at the White Sands Missile Range facility. A set of notes with some software were written for this workshop. This workshop led to the incorporation of some of the methods discussed in the present book into the Army simulation package CASTFOREM. Several people encouraged me to extend those notes and write the present monograph on the level of those notes, so that the material will be more widely available for applications.

Stochastic Visibility in Random Fields

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Publisher : Springer
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ISBN 10 : UOM:39015034280456
Pages : 175 pages
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Rating : 4.3/5 (91 users download)


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Summary Book Review Stochastic Visibility in Random Fields :

Download or read book Stochastic Visibility in Random Fields written by Shelemyahu Zacks and published by Springer. This book was released on 1994-12-13 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visibility problems are of interest in a wide variety of operations research and communications problems. This monograph presents an analysis of the "visibility" of one point in the plane from another given the existence of random objects which may obstruct the line of sight. The author aims to emphasize the practical issues involved and describes the algorithms discussed here. In addition, a (DOS) disk containing executable programs which implement these algorithms is provided. The author presupposes a basic familiarity with probability, statistics, and geometry, but otherwise the book is self-contained. As a result, researchers across a number of disciplines will find this account a valuable introduction to this problem.

Invariant Random Fields on Spaces with a Group Action

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Publisher : Springer Science & Business Media
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ISBN 10 : 9783642334061
Pages : 262 pages
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Rating : 4.6/5 (423 users download)


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Summary Book Review Invariant Random Fields on Spaces with a Group Action :

Download or read book Invariant Random Fields on Spaces with a Group Action written by Anatoliy Malyarenko and published by Springer Science & Business Media. This book was released on 2012-10-26 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.

Stochastic Geometry and Its Applications

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Publisher : John Wiley & Sons
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ISBN 10 : 9781118658253
Pages : 584 pages
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Rating : 4.1/5 (186 users download)


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Summary Book Review Stochastic Geometry and Its Applications :

Download or read book Stochastic Geometry and Its Applications written by Sung Nok Chiu and published by John Wiley & Sons. This book was released on 2013-06-27 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive update to a classic text Stochastic geometry and spatial statistics play a fundamental role in many modern branches of physics, materials sciences, engineering, biology and environmental sciences. They offer successful models for the description of random two- and three-dimensional micro and macro structures and statistical methods for their analysis. The previous edition of this book has served as the key reference in its field for over 18 years and is regarded as the best treatment of the subject of stochastic geometry, both as a subject with vital applications to spatial statistics and as a very interesting field of mathematics in its own right. This edition: Presents a wealth of models for spatial patterns and related statistical methods. Provides a great survey of the modern theory of random tessellations, including many new models that became tractable only in the last few years. Includes new sections on random networks and random graphs to review the recent ever growing interest in these areas. Provides an excellent introduction to theory and modelling of point processes, which covers some very latest developments. Illustrate the forefront theory of random sets, with many applications. Adds new results to the discussion of fibre and surface processes. Offers an updated collection of useful stereological methods. Includes 700 new references. Is written in an accessible style enabling non-mathematicians to benefit from this book. Provides a companion website hosting information on recent developments in the field www.wiley.com/go/cskm Stochastic Geometry and its Applications is ideally suited for researchers in physics, materials science, biology and ecological sciences as well as mathematicians and statisticians. It should also serve as a valuable introduction to the subject for students of mathematics and statistics.

Stochastic Networks

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461240624
Pages : 298 pages
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Summary Book Review Stochastic Networks :

Download or read book Stochastic Networks written by Paul Glasserman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two of the most exciting topics of current research in stochastic networks are the complementary subjects of stability and rare events - roughly, the former deals with the typical behavior of networks, and the latter with significant atypical behavior. Both are classical topics, of interest since the early days of queueing theory, that have experienced renewed interest mo tivated by new applications to emerging technologies. For example, new stability issues arise in the scheduling of multiple job classes in semiconduc tor manufacturing, the so-called "re-entrant lines;" and a prominent need for studying rare events is associated with the design of telecommunication systems using the new ATM (asynchronous transfer mode) technology so as to guarantee quality of service. The objective of this volume is hence to present a sample - by no means comprehensive - of recent research problems, methodologies, and results in these two exciting and burgeoning areas. The volume is organized in two parts, with the first part focusing on stability, and the second part on rare events. But it is impossible to draw sharp boundaries in a healthy field, and inevitably some articles touch on both issues and several develop links with other areas as well. Part I is concerned with the issue of stability in queueing networks.

Stochastic Population Models

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461212447
Pages : 202 pages
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Summary Book Review Stochastic Population Models :

Download or read book Stochastic Population Models written by James H. Matis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses on stochastic modeling of population processes. The book presents new symbolic mathematical software to develop practical methodological tools for stochastic population modeling. The book assumes calculus and some knowledge of mathematical modeling, including the use of differential equations and matrix algebra.

Nonparametric Statistics for Stochastic Processes

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781468404890
Pages : 169 pages
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Summary Book Review Nonparametric Statistics for Stochastic Processes :

Download or read book Nonparametric Statistics for Stochastic Processes written by Denis Bosq and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a mathematically rigorous treatment of the theory of nonparametric estimation and prediction for stochastic processes. It discusses discrete time and continuous time, and the emphasis is on the kernel methods. Several new results are presented concerning optimal and superoptimal convergence rates. How to implement the method is discussed in detail and several numerical results are presented. This book will be of interest to specialists in mathematical statistics and to those who wish to apply these methods to practical problems involving time series analysis.

Stochastic Processes and Orthogonal Polynomials

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461211709
Pages : 184 pages
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Summary Book Review Stochastic Processes and Orthogonal Polynomials :

Download or read book Stochastic Processes and Orthogonal Polynomials written by Wim Schoutens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers an accessible reference for researchers in the probability, statistics and special functions communities. It gives a variety of interdisciplinary relations between the two main ingredients of stochastic processes and orthogonal polynomials. It covers topics like time dependent and asymptotic analysis for birth-death processes and diffusions, martingale relations for Lévy processes, stochastic integrals and Stein's approximation method. Almost all well-known orthogonal polynomials, which are brought together in the so-called Askey Scheme, come into play. This volume clearly illustrates the powerful mathematical role of orthogonal polynomials in the analysis of stochastic processes and is made accessible for all mathematicians with a basic background in probability theory and mathematical analysis. Wim Schoutens is a Postdoctoral Researcher of the Fund for Scientific Research-Flanders (Belgium). He received his PhD in Science from the Catholic University of Leuven, Belgium.

Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461215523
Pages : 270 pages
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Summary Book Review Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis :

Download or read book Bilinear Stochastic Models and Related Problems of Nonlinear Time Series Analysis written by György Terdik and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of the present work is a systematic statistical analysis of bilinear processes in the frequency domain. The first two chapters are devoted to the basic theory of nonlinear functions of stationary Gaussian processes, Hermite polynomials, cumulants and higher order spectra, multiple Wiener-Itô integrals and finally chaotic Wiener-Itô spectral representation of subordinated processes. There are two chapters for general nonlinear time series problems.

Stochastic Epidemic Models and Their Statistical Analysis

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461211587
Pages : 156 pages
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Summary Book Review Stochastic Epidemic Models and Their Statistical Analysis :

Download or read book Stochastic Epidemic Models and Their Statistical Analysis written by Hakan Andersson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lecture notes describe stochastic epidemic models and methods for their statistical analysis. Our aim is to present ideas for such models, and methods for their analysis; along the way we make practical use of several probabilistic and statistical techniques. This will be done without focusing on any specific disease, and instead rigorously analyzing rather simple models. The reader of these lecture notes could thus have a two-fold purpose in mind: to learn about epidemic models and their statistical analysis, and/or to learn and apply techniques in probability and statistics. The lecture notes require an early graduate level knowledge of probability and They introduce several techniques which might be new to students, but our statistics. intention is to present these keeping the technical level at a minlmum. Techniques that are explained and applied in the lecture notes are, for example: coupling, diffusion approximation, random graphs, likelihood theory for counting processes, martingales, the EM-algorithm and MCMC methods. The aim is to introduce and apply these techniques, thus hopefully motivating their further theoretical treatment. A few sections, mainly in Chapter 5, assume some knowledge of weak convergence; we hope that readers not familiar with this theory can understand the these parts at a heuristic level. The text is divided into two distinct but related parts: modelling and estimation.

Random and Quasi-Random Point Sets

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Publisher : Springer Science & Business Media
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ISBN 10 : 0387985549
Pages : 358 pages
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Rating : 4.9/5 (855 users download)


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Summary Book Review Random and Quasi-Random Point Sets :

Download or read book Random and Quasi-Random Point Sets written by Peter Hellekalek and published by Springer Science & Business Media. This book was released on 1998-10-09 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sumarizes recent theoretical and practical developments. The generation and the assessment of pseudo- and quasi-random point sets is one of the basic tasks of applied mathematics and statistics, with implications for Monte Carlo methods, stochastic simulation, and applied statistics. They are also of strong theoretical interest, with applications to algebraic geometry, metric number theory, probability theory, and cryptology.

The Career of a Research Statistician

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Publisher : Springer Nature
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ISBN 10 : 9783030394349
Pages : 209 pages
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Summary Book Review The Career of a Research Statistician :

Download or read book The Career of a Research Statistician written by Shelemyahu Zacks and published by Springer Nature. This book was released on 2020-03-13 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph highlights the connection between the theoretical work done by research statisticians and the impact that work has on various industries. Drawing on decades of experience as an industry consultant, the author details how his contributions have had a lasting impact on the field of statistics as a whole. Aspiring statisticians and data scientists will be motivated to find practical applications for their knowledge, as they see how such work can yield breakthroughs in their field. Each chapter highlights a consulting position the author held that resulted in a significant contribution to statistical theory. Topics covered include tracking processes with change points, estimating common parameters, crossing fields with absorption points, military operations research, sampling surveys, stochastic visibility in random fields, reliability analysis, applied probability, and more. Notable advancements within each of these topics are presented by analyzing the problems facing various industries, and how solving those problems contributed to the development of the field. The Career of a Research Statistician is ideal for researchers, graduate students, or industry professionals working in statistics. It will be particularly useful for up-and-coming statisticians interested in the promising connection between academia and industry.

Statistical Disclosure Control in Practice

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461240280
Pages : 154 pages
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Summary Book Review Statistical Disclosure Control in Practice :

Download or read book Statistical Disclosure Control in Practice written by Leon Willenborg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to discuss various aspects associated with disseminating personal or business data collected in censuses or surveys or copied from administrative sources. The problem is to present the data in such a form that they are useful for statistical research and to provide sufficient protection for the individuals or businesses to whom the data refer. The major part of this book is concerned with how to define the disclosure problem and how to deal with it in practical circumstances.

Optimum Designs for Multi-Factor Models

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461240389
Pages : 124 pages
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Summary Book Review Optimum Designs for Multi-Factor Models :

Download or read book Optimum Designs for Multi-Factor Models written by Rainer Schwabe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this book introduces the theory of optimum designs for complex models and develops general methods of reduction to marginal problems for large classes of models with relevant interaction structures.

Random Sums and Branching Stochastic Processes

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461242161
Pages : 195 pages
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Summary Book Review Random Sums and Branching Stochastic Processes :

Download or read book Random Sums and Branching Stochastic Processes written by Ibrahim Rahimov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this monograph is to show how random sums (that is, the summation of a random number of dependent random variables) may be used to analyse the behaviour of branching stochastic processes. The author shows how these techniques may yield insight and new results when applied to a wide range of branching processes. In particular, processes with reproduction-dependent and non-stationary immigration may be analysed quite simply from this perspective. On the other hand some new characterizations of the branching process without immigration dealing with its genealogical tree can be studied. Readers are assumed to have a firm grounding in probability and stochastic processes, but otherwise this account is self-contained. As a result, researchers and graduate students tackling problems in this area will find this makes a useful contribution to their work.

Learning from Data

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461224044
Pages : 450 pages
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Summary Book Review Learning from Data :

Download or read book Learning from Data written by Doug Fisher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years ago Bill Gale of AT&T Bell Laboratories was primary organizer of the first Workshop on Artificial Intelligence and Statistics. In the early days of the Workshop series it seemed clear that researchers in AI and statistics had common interests, though with different emphases, goals, and vocabularies. In learning and model selection, for example, a historical goal of AI to build autonomous agents probably contributed to a focus on parameter-free learning systems, which relied little on an external analyst's assumptions about the data. This seemed at odds with statistical strategy, which stemmed from a view that model selection methods were tools to augment, not replace, the abilities of a human analyst. Thus, statisticians have traditionally spent considerably more time exploiting prior information of the environment to model data and exploratory data analysis methods tailored to their assumptions. In statistics, special emphasis is placed on model checking, making extensive use of residual analysis, because all models are 'wrong', but some are better than others. It is increasingly recognized that AI researchers and/or AI programs can exploit the same kind of statistical strategies to good effect. Often AI researchers and statisticians emphasized different aspects of what in retrospect we might now regard as the same overriding tasks.

Graphical Methods for the Design of Experiments

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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461213987
Pages : 196 pages
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Summary Book Review Graphical Methods for the Design of Experiments :

Download or read book Graphical Methods for the Design of Experiments written by Russell R. Barton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most texts on the design of experiments focus on the analysis of experimental data, not on the creation of the design. Graphical Methods for Experimental Design presents a strategic view of the planning of experiments, and provides a number of graphical tools that are useful for justifying the effort required for experimentation, identifying variables and candidate statistical models, selecting the set of run conditions and for assessing the quality of the design. In addition, the graphical framework for creating fractional factorial designs is used to present experimental results in a way that is easier to understand than a set of model coefficients. The text merely assumes a basic knowledge of statistics and matrices, while many of the graphical techniques are accessible without any knowledge of statistical models, requiring only some familiarity with the plotting of functions and with the concept of projection from elementary mechanical drawing.