Application Of Extreme Value Theory, The Daily Brent Crude Oil Price

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Application Of Extreme Value Theory, The Daily Brent Crude Oil Price

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Multivariate Extreme Value Theory and D-Norms Springer Nature Switzerland AG

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This monograph compiles the contemporary knowledge about D -norms and provides an introductory tour through the essentials of multivariate extreme value theory. Following a clear introduction of D -norms, this book introduces links with the theory through multivariate generalized Pareto distributions and max stable distributions. Further views on D -norms from a functional analysis perspective and from stochastic geometry underline the aim of this book to reveal mathematical structures. This book is intended for mathematicians with a basic knowledge of analysis and probability theory, including Fubini's theorem.

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Probability Theory Cambridge University Press

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The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary.

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Approximation Methods In Probability Theory

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Calculus & mathematical analysis>Differential calculus & equations

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Theory of probability and mathematical statistics LAP LAMBERT Academic Publishing

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Probability theory and mathematical statistics: textbook /A.V.Tyurin, A.Yu. Akhmerov - Düsseldorf: LAP LAMBERT Academic Publishing GmbH & Co.KG., 2020. - 138 p. - ISBN 978-620-2-52982-2. The textbook is written in accordance with the program of the course "Probability theory and mathematical statistics", which is read to junior specialists and bachelors in the specialty "Economics". The basics of the theory, methods of obtaining, description and processing of experimental data are presented in order to study the laws of random mass phenomena.

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Extreme Value Theory Springer, Berlin

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This treatment of extreme value theory is unique in book literature in that it focuses on some beautiful theoretical results along with applications. All the main topics covering the heart of the subject are introduced to the reader in a systematic fashion so that in the final chapter even the most recent developments in the theory can be understood.§Key to the presentation is the concentration on the probabilistic and statistical aspects of extreme values without major emphasis on such related topics as regular variation, point processes, empirical distribution functions, and Brownian motion.§The work is an excellent introduction to extreme value theory at the graduate level, requiring only some mathematical maturity.Focuses on theoretical results along with applications§All the main topics covering the heart of the subject are introduced to the reader in a systematic fashion§Concentration is on the probabilistic and statistical aspects of extreme values§Excellent introduction to extreme value theory at the graduate level, requiring only some mathematical maturityExtreme Value Theory offers a careful, coherent exposition of the subject starting from the probabilistic and mathematical foundations and proceeding to the statistical theory. The book covers both the classical one-dimensional case as well as finite- and infinite-dimensional settings. All the main topics at the heart of the subject are introduced in a systematic fashion so that in the final chapter even the most recent developments in the theory can be understood. The treatment is geared toward applications.§The presentation concentrates on the probabilistic and statistical aspects of extreme values such as limiting results, domains of attraction and development of estimators without emphasizing related topics such as point processes, empirical distribution functions and Brownian motion. An appendix on regular variation has been added since some required results in that area are not available in book form. The usefulness of the statistical theory is shown by treating several case studies in detail. §The book is a thorough, accessible, self-contained, graduate level treatment of modern extreme value theory and some of its applications. It is aimed at graduate students and researchers and requires only maturity in mathematics and statistics.

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Modeling Energy Demand Using Nonparametric And Extreme Value Theory

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Extreme Value Theory

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Extreme Value Theory

Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics

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Extreme Value Theory-Based Methods for Visual Recognition

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Toward an Anthropological Theory of Value Palgrave USA

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This volume is the first comprehensive synthesis of economic, political, and cultural theories of value. David Graeber reexamines a century of anthropological thought about value and exchange, in large measure to find a way out of ongoing quandaries in current social theory, which have become critical at the present moment of ideological collapse in the face of Neoliberalism. Rooted in an engaged, dynamic realism, Graeber argues that projects of cultural comparison are in a sense necessarily revolutionary projects: He attempts to synthesize the best insights of Karl Marx and Marcel Mauss, arguing that these figures represent two extreme, but ultimately complementary, possibilities in the shape such a project might take. Graeber breathes new life into the classic anthropological texts on exchange, value, and economy. He rethinks the cases of Iroquois wampum, Pacific kula exchanges, and the Kwakiutl potlatch within the flow of world historical processes, and recasts value as a model of human meaning-making, which far exceeds rationalist/reductive economist paradigms.

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Real Analysis and Probability Cambridge University Press

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This classic textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The first half of the book gives an exposition of real analysis: basic set theory, general topology, measure theory, integration, an introduction to functional analysis in Banach and Hilbert spaces, convex sets and functions and measure on topological spaces. The second half introduces probability based on measure theory, including laws of large numbers, ergodic theorems, the central limit theorem, conditional expectations and martingale's convergence. A chapter on stochastic processes introduces Brownian motion and the Brownian bridge. The edition has been made even more self-contained than before; it now includes a foundation of the real number system and the Stone-Weierstrass theorem on uniform approximation in algebras of functions. Several other sections have been revised and improved, and the comprehensive historical notes have been further amplified. A number of new exercises have been added, together with hints for solution.

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Probability with Martingales Cambridge University Press

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Probability theory is nowadays applied in a huge variety of fields including physics, engineering, biology, economics and the social sciences. This book is a modern, lively and rigorous account which has Doob's theory of martingales in discrete time as its main theme. It proves important results such as Kolmogorov's Strong Law of Large Numbers and the Three-Series Theorem by martingale techniques, and the Central Limit Theorem via the use of characteristic functions. A distinguishing feature is its determination to keep the probability flowing at a nice tempo. It achieves this by being selective rather than encyclopaedic, presenting only what is essential to understand the fundamentals; and it assumes certain key results from measure theory in the main text. These measure-theoretic results are proved in full in appendices, so that the book is completely self-contained. The book is written for students, not for researchers, and has evolved through several years of class testing. Exercises play a vital rôle. Interesting and challenging problems, some with hints, consolidate what has already been learnt, and provide motivation to discover more of the subject than can be covered in a single introduction.

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Theory and Applications of Fractional Differential Equations Elsevier Science & Technology

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This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Some of the areas of present-day applications of fractional models include Fluid Flow, Solute Transport or Dynamical Processes in Self-Similar and Porous Structures, Diffusive Transport akin to Diffusion, Material Viscoelastic Theory, Electromagnetic Theory, Dynamics of Earthquakes, Control Theory of Dynamical Systems, Optics and Signal Processing, Bio-Sciences, Economics, Geology, Astrophysics, Probability and Statistics, Chemical Physics, and so on.In the above-mentioned areas, there are phenomena with estrange kinetics which have a microscopic complex behaviour, and their macroscopic dynamics can not be characterized by classical derivative models. The fractional modelling is an emergent tool which use fractional differential equations including derivatives of fractional order, that is, we can speak about a derivative of order 1/3, or square root of 2, and so on. Some of such fractional models can have solutions which are non-differentiable but continuous functions, such as Weierstrass type functions. Such kinds of properties are, obviously, impossible for the ordinary models. What are the useful properties of these fractional operators which help in the modelling of so many anomalous processes? From the point of view of the authors and from known experimental results, most of the processes associated with complex systems have non-local dynamics involving long-memory in time, and the fractional integral and fractional derivative operators do have some of those characteristics.This book is written primarily for the graduate students and researchers in many different disciplines in the mathematical, physical, engineering and so many others sciences, who are interested not only in learning about the various mathematical tools and techniques used in the theory and widespread applications of fractional differential equations, but also in further investigations which emerge naturally from (or which are motivated substantially by) the physical situations modelled mathematically in the book. This monograph consists of a total of eight chapters and a very extensive bibliography. The main objective of it is to complement the contents of the other books dedicated to the study and the applications of fractional differential equations.The aim of the book is to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy type problems involving nonlinear ordinary fractional differential equations, explicit solutions of linear differential equations and of the corresponding initial-value problems through different methods, closed-form solutions of ordinary and partial differential equations, and a theory of the so-called sequential linear fractional differential equations including a generalization of the classical Frobenius method, and also to include an interesting set of applications of the developed theory. It is mainly application oriented and it contains a complete theory of Fractional Differential Equations. It can be used as a postgraduate-level textbook in many different disciplines within science and engineering and it contains an up-to-date bibliography. It provides problems and directions for further investigations. Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. It contains many examples.

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