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Lévy Matters V: Functionals of Lévy Processes
This three-chapter volume concerns the distributions of certain functionals of Lévy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Lévy processes via stochastic integration. The second chapter, by Lars Nørvang Andersen, Søren Asmussen, Peter W. Glynn and Mats Pihlsgård, concerns…
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- ISBN/ISSN
- 978-3-319-23138-9
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Vector Generalized Linear and Additive Models With an Implementation in R
This book presents a greatly enlarged statistical framework compared to generalized linear models (GLMs) with which to approach regression modelling. Comprising of about half-a-dozen major classes of statistical models, and fortified with necessary infrastructure to make the models more fully operable, the framework allows analyses based on many semi-traditional applied statistics models to be …
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- ISBN/ISSN
- 978-1-4939-2818-7
- Collation
- XXIV, 589
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Doubt-Free Uncertainty In Measurement An Introduction for Engineers and Students
This volume presents measurement uncertainty and uncertainty budgets in a form accessible to practicing engineers and engineering students from across a wide range of disciplines. The book gives a detailed explanation of the methods presented by NIST in the ℓ́ℓGUMℓ́ℓ ℓ́ℓ Guide to Uncertainty of Measurement. Emphasis is placed on explaining the background and meaning of the topics…
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- ISBN/ISSN
- 9783319120621
- Collation
- viii, 95 pages : illustrations (some color) ; 25 cm
- Series Title
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- Call Number
- 519.2
Advances in the Control of Markov Jump Linear Systems with No Mode Observation
This brief broadens readers’ understanding of stochastic control by highlighting recent advances in the design of optimal control for Markov jump linear systems (MJLS). It also presents an algorithm that attempts to solve this open stochastic control problem, and provides a real-time application for controlling the speed of direct current motors, illustrating the practical usefulness of MJLS.…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-39835-8
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- -
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- 519.2 VAR a
High Dimensional Probability VII he Cargèse Volume
This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkab…
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- ISBN/ISSN
- 978-3-319-40517-9
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- XXVIII, 461
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- Call Number
- 510 HIG
Advances in Stochastic and Deterministic Global Optimization
Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. Contributions include applications to multidimensional data visualization, regression, survey calibration, inventory management, timetabling, chemical engineering, energy systems, and competitive…
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- Ed. 1
- ISBN/ISSN
- 978-3-319-29975-4
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- XIII, 296
- Series Title
- Springer Optimization and Its Applications
- Call Number
- 511.8 ADV a
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
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- 105 b/w illustrations
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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
- 23 b/w illustrations
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- -
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Mod-ϕ Convergence: Normality Zones and Precise Deviations
The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been pub…
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- 1
- ISBN/ISSN
- 978-3-319-46821-1
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- XII, 152; 8 b/w illustrations, 9 illustrations in colour
- Series Title
- SpringerBriefs in Probability and Mathematical Statistics
- Call Number
- -
Advances in Mathematical Economics Volume 20
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying…
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- Ed. 1
- ISBN/ISSN
- 978-981-10-0476-6
- Collation
- VIII, 189
- Series Title
- Advances in Mathematical Economics
- Call Number
- 519.2 ADV a
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