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Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Non…
This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class of nonlinear stochastic partial differential equations. These approximations take the form of Lyapunov-Perron integrals, which are further characterized in Volume II as pullback limits associated wit…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-12496-4
- Collation
- XV, 127
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 519 CHE a
Regularity and Irregularity of Superprocesses with (1 + β)-stable Branching …
This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area. It is a self-contained presentation of regularity properties of stable superprocesses and proofs of main results and can serve as an introductory text for a graduate course. There…
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Uncertainty Theory
When no samples are available to estimate a probability distribution, we have to invite some domain experts to evaluate the belief degree that each event will happen. Perhaps some people think that the belief degree should be modeled by subjective probability or fuzzy set theory. However, it is usually inappropriate because both of them may lead to counterintuitive results in this case. In o…
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- ISBN/ISSN
- 978-3-662-44354-5
- Collation
- -
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Uncertainty The Soul of Modeling, Probability & Statistics
This book presents a philosophical approach to probability and probabilistic thinking, considering the underpinnings of probabilistic reasoning and modeling, which effectively underlie everything in data science. The ultimate goal is to call into question many standard tenets and lay the philosophical and probabilistic groundwork and infrastructure for statistical modeling. It is the first book…
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- -
- ISBN/ISSN
- 978-3-319-39756-6
- Collation
- -
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Introduction to Probability with Statistical Applications
Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and commo…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-30620-9
- Collation
- XII, 385, 49 b/w illustrations
- Series Title
- -
- Call Number
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In Memoriam Marc Yor - Séminaire de Probabilités XLVII
This volume is dedicated to the memory of Marc Yor, who passed away in 2014. The invited contributions by his collaborators and former students bear testament to the value and diversity of his work and of his research focus, which covered broad areas of probability theory. The volume also provides personal recollections about him, and an article on his essential role concerning the Doeblin docu…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18584-2
- Collation
- L, 619
- Series Title
- -
- Call Number
- 510 INM
Fractal Geometry and Stochastics V
This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geometric measure theory, self-similar fractals and recurrent structures, analysis and algebra on fractals, multifractal theory, and random constructions. Each part starts with a state-of-the-art survey…
- Edition
- -
- ISBN/ISSN
- 978-3-319-18660-3
- Collation
- X, 340 pages
- Series Title
- Progress in Probability
- Call Number
- -
Statistics of Financial Markets An Introduction
Now in its fifth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods for evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical fin…
- Edition
- 5
- ISBN/ISSN
- 978-3-030-13751-9
- Collation
- -
- Series Title
- 49 b/w illustrations, 288 illustrations in colour
- Call Number
- XXXVI, 585
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