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The Statistical Theory Of The Scale Factor
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Book Synopsis The Statistical Theory of the Scale Factor by : T. A. Kontorova
Download or read book The Statistical Theory of the Scale Factor written by T. A. Kontorova and published by . This book was released on 1977 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: These experimental conditions determine the so-called ductile-to-brittle transition temperature, i.e., the temperature, which corresponds to the transition of crystal material from brittle state to plastic, first of all by the value of its brittle strength.
Book Synopsis The Statistical Theory of Shape by : Christopher G. Small
Download or read book The Statistical Theory of Shape written by Christopher G. Small and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general terms, the shape of an object, data set, or image can be de fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure ment error. In such cases the variation in shape can often be the subject of statistical analysis. The last decade has seen a considerable growth in interest in the statis tical theory of shape. This has been the result of a synthesis of a number of different areas and a recognition that there is considerable common ground among these areas in their study of shape variation. Despite this synthesis of disciplines, there are several different schools of statistical shape analysis. One of these, the Kendall school of shape analysis, uses a variety of mathe matical tools from differential geometry and probability, and is the subject of this book. The book does not assume a particularly strong background by the reader in these subjects, and so a brief introduction is provided to each of these topics. Anyone who is unfamiliar with this material is advised to consult a more complete reference. As the literature on these subjects is vast, the introductory sections can be used as a brief guide to the literature.
Book Synopsis Aspects of Ergodic, Qualitative and Statistical Theory of Motion by : Giovanni Gallavotti
Download or read book Aspects of Ergodic, Qualitative and Statistical Theory of Motion written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.
Book Synopsis An Introduction to the Statistical Theory of Classical Simple Dense Fluids by : G.H.A. Cole
Download or read book An Introduction to the Statistical Theory of Classical Simple Dense Fluids written by G.H.A. Cole and published by Elsevier. This book was released on 2014-06-28 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to the Statistical Theory of Classical Simple Dense Fluids covers certain aspects of the study of dense fluids, based on the analysis of the correlation effects between representative small groupings of molecules. The book starts by discussing empirical considerations including the physical characteristics of fluids; measured molecular spatial distribution; scattering by a continuous medium; the radial distribution function; the mean potential; and the molecular motion in liquids. The text describes the application of the theories to the description of dense fluids (i.e. interparticle force, classical particle trajectories, and the Liouville Theorem) and the deduction of expressions for the fluid thermodynamic functions. The theory of equilibrium short-range order by using the concept of closure approximation or total correlation; some numerical consequences of the equilibrium theory; and irreversibility are also looked into. The book further tackles the kinetic derivation of the Maxwell-Boltzmann (MB) equation; the statistical derivation of the MB equation; the movement to equilibrium; gas in a steady state; and viscosity and thermal conductivity. The text also discusses non-equilibrium liquids. Physicists, chemists, and engineers will find the book invaluable.
Book Synopsis Exercises and Solutions in Statistical Theory by : Lawrence L. Kupper
Download or read book Exercises and Solutions in Statistical Theory written by Lawrence L. Kupper and published by CRC Press. This book was released on 2013-06-24 with total page 2318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exercises and Solutions in Statistical Theory helps students and scientists obtain an in-depth understanding of statistical theory by working on and reviewing solutions to interesting and challenging exercises of practical importance. Unlike similar books, this text incorporates many exercises that apply to real-world settings and provides much more thorough solutions. The exercises and selected detailed solutions cover from basic probability theory through to the theory of statistical inference. Many of the exercises deal with important, real-life scenarios in areas such as medicine, epidemiology, actuarial science, social science, engineering, physics, chemistry, biology, environmental health, and sports. Several exercises illustrate the utility of study design strategies, sampling from finite populations, maximum likelihood, asymptotic theory, latent class analysis, conditional inference, regression analysis, generalized linear models, Bayesian analysis, and other statistical topics. The book also contains references to published books and articles that offer more information about the statistical concepts. Designed as a supplement for advanced undergraduate and graduate courses, this text is a valuable source of classroom examples, homework problems, and examination questions. It is also useful for scientists interested in enhancing or refreshing their theoretical statistical skills. The book improves readers’ comprehension of the principles of statistical theory and helps them see how the principles can be used in practice. By mastering the theoretical statistical strategies necessary to solve the exercises, readers will be prepared to successfully study even higher-level statistical theory.
Book Synopsis The Statistical Theory of Linear Systems by : E. J. Hannan
Download or read book The Statistical Theory of Linear Systems written by E. J. Hannan and published by SIAM. This book was released on 1988-01-01 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1988, The Statistical Theory of Linear Systems deals with identification (in the sense of obtaining a model from data) of multi-input and multi-output linear systems, in particular systems in ARMAX and state space form. The book emphasizes the underlying theory. It covers structure theory, in particular realization and parameterization of linear systems, with special emphasis on the analysis of properties of parameter spaces and parameterizations relevant for estimation and model selection; Gaussian maximum likelihood estimation of the real-valued parameters of linear systems, with an emphasis on asymptotic theory; model selection, in particular order estimation, by information criteria such as AIC or BIC, with an emphasis on asymptotic theory; procedures for calculation of estimates; and approximation by rational functions. This edition includes an extensive new introduction that outlines central ideas and features of the subject matter, as well as developments since the book's original publication, such as subspace identification, data-driven local coordinates, and the results on post-model-selection estimators. It also provides a section of errata and an updated bibliography.
Book Synopsis Statistical Theory of Heat by : Florian Scheck
Download or read book Statistical Theory of Heat written by Florian Scheck and published by Springer. This book was released on 2016-11-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scheck’s textbook starts with a concise introduction to classical thermodynamics, including geometrical aspects. Then a short introduction to probabilities and statistics lays the basis for the statistical interpretation of thermodynamics. Phase transitions, discrete models and the stability of matter are explained in great detail.Thermodynamics has a special role in theoretical physics. Due to the general approach of thermodynamics the field has as a bridging function between several areas like the theory of condensed matter, elementary particle physics, astrophysics and cosmology. The classical thermodynamics describes predominantly averaged properties of matter, reaching from few particle systems and state of matter to stellar objects. Statistical Thermodynamics covers the same fields, but explores them in greater depth and unifies classical statistical mechanics with quantum theory of multiple particle systems. The content is presented as two tracks: the fast track for master students, providing the essentials, and the intensive track for all wanting to get in depth knowledge of the field. Clearly labelled material and sections guide students through the preferred level of treatment. Numerous problems and worked examples will provide successful access to Statistical Physics and Thermodynamics.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1978 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Probability And Statistical Theory For Applied Researchers by : Thomas Wake Epps
Download or read book Probability And Statistical Theory For Applied Researchers written by Thomas Wake Epps and published by World Scientific Publishing Company. This book was released on 2013-08-16 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of probability and mathematical statistics at a level suitable for researchers at the frontiers of applied disciplines. Examples and exercises make essential concepts in measure theory and analysis accessible to those with preparation limited to vector calculus. Complete, detailed solutions to all the exercises demonstrate techniques of problem solving and provide immediate feedback.Part I, The Theory of Probability, starts with elementary set theory and proceeds through basic measure and probability, random variables, integration and mathematical expectation. It concludes with an extensive survey of models for distributions of random variables. Part II, The Theory of Statistics, begins with sampling theory and distribution theory for statistics from normal populations, proceeds to asymptotic (large-sample) theory, and on to point and interval estimation and tests of parametric hypotheses. The last three chapters cover tests of nonparametric hypotheses, Bayesian methods, and linear and nonlinear regression.Researchers and graduate students in applied fields such as actuarial science, biostatistics, economics, finance, mathematical psychology, and systems engineering will find this book to be a valuable learning tool and an essential reference.
Book Synopsis A Theory and Procedure of Scale Analysis by : R. J. Mokken
Download or read book A Theory and Procedure of Scale Analysis written by R. J. Mokken and published by Walter de Gruyter. This book was released on 2011-07-19 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Statistical Nature of Strength and Lifetime in Polymer Films and Fibers by : Bronya Tsoi
Download or read book The Statistical Nature of Strength and Lifetime in Polymer Films and Fibers written by Bronya Tsoi and published by CRC Press. This book was released on 2004-03-01 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an updated and extended edition of Strength and Fracture of Polymer Films, which was published in Russian in 1999. It presents the results of long-term theoretical and experimental studies of brittle and quasi-brittle fracture of solid polymers. The principal results of a comprehensive and detailed investigation of the statistical
Book Synopsis Statistical Theory and Computational Aspects of Smoothing by : Wolfgang Härdle
Download or read book Statistical Theory and Computational Aspects of Smoothing written by Wolfgang Härdle and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the main applications of statistical smoothing techniques is nonparametric regression. For the last 15 years there has been a strong theoretical interest in the development of such techniques. Related algorithmic concepts have been a main concern in computational statistics. Smoothing techniques in regression as well as other statistical methods are increasingly applied in biosciences and economics. But they are also relevant for medical and psychological research. Introduced are new developments in scatterplot smoothing and applications in statistical modelling. The treatment of the topics is on an intermediate level avoiding too much technicalities. Computational and applied aspects are considered throughout. Of particular interest to readers is the discussion of recent local fitting techniques.
Book Synopsis A Survey of the Literature on the Size Effect on Material Strength by : H. Leon Harter
Download or read book A Survey of the Literature on the Size Effect on Material Strength written by H. Leon Harter and published by . This book was released on 1977 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly 500 years ago, Leonardo da Vinci observed that long wires are weaker than short wires of the same diameter. The statistical theory of extreme values (weakest-link theory) plays a very important role in studies of the size effect; competing theories include the energy theory and the technological theory. Summaries are given of relevant publications identified in the course of a literature survey on the size effect. Since this survey was motivated by concern about the reliability of large composite aircraft structures, which are now coming into use, special attention is given to the size effect on composite materials and structures. An attempt is made to summarize the present state of knowledge and to identify unsolved problems requiring further research.
Book Synopsis Extreme Value Theory in Engineering by : Enrique Castillo
Download or read book Extreme Value Theory in Engineering written by Enrique Castillo and published by Elsevier. This book was released on 2012-12-02 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive guide to extreme value theory in engineering. Written for the end user with intermediate and advanced statistical knowledge, it covers classical methods as well as recent advances. A collection of 150 examples illustrates the theoretical results and takes the reader from simple applications through complex cases of dependence.
Book Synopsis A Chronological Annotated Bibliography on Order Statistics by : Harman Leon Harter
Download or read book A Chronological Annotated Bibliography on Order Statistics written by Harman Leon Harter and published by . This book was released on 1979 with total page 1046 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Strength and Failure of Visco-Elastic Materials by : G. M. Bartenev
Download or read book Strength and Failure of Visco-Elastic Materials written by G. M. Bartenev and published by Elsevier. This book was released on 2013-09-17 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Strength and Failure of Visco-Elastic Materials covers the whole spectrum of durability of visco-elastic materials. The title details the contemporary state of the problems and the results of the studies done in the area of visco-elastic materials science. The text covers materials such as polymers, rubbers, and elastomers. The selection tackles visco-elastic problems, such as kinetic failures, corrosion, static fatigue, and deformation. Variables such as molecular weight and orientation, structure, environments, strain rate, and action are also discussed. The book will be of great use to students, researchers, and practitioners of materials science.
Book Synopsis Biostatistical Methods by : John M. Lachin
Download or read book Biostatistical Methods written by John M. Lachin and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive coverage of classical and modern methods of biostatistics Biostatistical Methods focuses on the assessment of risks and relative risks on the basis of clinical investigations. It develops basic concepts and derives biostatistical methods through both the application of classical mathematical statistical tools and more modern likelihood-based theories. The first half of the book presents methods for the analysis of single and multiple 2x2 tables for cross-sectional, prospective, and retrospective (case-control) sampling, with and without matching using fixed and two-stage random effects models. The text then moves on to present a more modern likelihood- or model-based approach, which includes unconditional and conditional logistic regression; the analysis of count data and the Poisson regression model; and the analysis of event time data, including the proportional hazards and multiplicative intensity models. The book contains a technical appendix that presents the core mathematical statistical theory used for the development of classical and modern statistical methods. Biostatistical Methods: The Assessment of Relative Risks: * Presents modern biostatistical methods that are generalizations of the classical methods discussed * Emphasizes derivations, not just cookbook methods * Provides copious reference citations for further reading * Includes extensive problem sets * Employs case studies to illustrate application of methods * Illustrates all methods using the Statistical Analysis System(r) (SAS) Supplemented with numerous graphs, charts, and tables as well as a Web site for larger data sets and exercises, Biostatistical Methods: The Assessment of Relative Risks is an excellent guide for graduate-level students in biostatistics and an invaluable reference for biostatisticians, applied statisticians, and epidemiologists.
