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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…
- Edition
- -
- ISBN/ISSN
- 978-3-319-39756-6
- Collation
- 23 b/w illustrations
- Series Title
- -
- Call Number
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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…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-46821-1
- Collation
- 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…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-981-10-0476-6
- Collation
- VIII, 189
- Series Title
- Advances in Mathematical Economics
- Call Number
- 519.2 ADV a
Advances in Mathematical Economics Volume 19
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…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-4-431-55489-9
- Collation
- V, 138
- Series Title
- Advances in Mathematical Economics
- Call Number
- 519.2 ADV a
Extensions of Positive Definite Functions Applications and Their Harmonic An…
This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some pres…
- Edition
- -
- ISBN/ISSN
- 978-3-319-39780-1
- Collation
- 39 b/w illustrations, 9 illustrations in colour
- Series Title
- -
- Call Number
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Exercises in Analysis Part 2: Nonlinear Analysis
This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and…
- Edition
- -
- ISBN/ISSN
- 978-3-319-27817-9
- Collation
- VIII, 1062
- Series Title
- -
- Call Number
- -
Advanced Modelling in Mathematical Finance: In Honour of Ernst Eberlein
This Festschrift resulted from a workshop on “Advanced Modelling in Mathematical Finance” held in honour of Ernst Eberlein’s 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberlein’s long-standing collaborators and former students. Advanced mathematical techniques play an ever-i…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-45875-5
- Collation
- XXIV, 496
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- 332.46 ADV a
Séminaire De Probabilités XLVIII
In addition to its further exploration of the subject of peacocks, introduced in recent Séminaires de Probabilités, this volume continues the series’ focus on current research themes in traditional topics such as stochastic calculus, filtrations and random matrices. Also included are some particularly interesting articles involving harmonic measures, random fields and loop soups. The featur…
- Edition
- -
- ISBN/ISSN
- 978-3-319-44465-9
- Collation
- VIII, 503
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Minimum Action Curves in Degenerate Finsler Metrics:Existence and Properties
Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17752-6
- Collation
- Springer International Publishing Switzerland
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Multicriteria and Multiobjective Models for Risk, Reliability and Maintenance…
This book integrates multiple criteria concepts and methods for problems within the Risk, Reliability and Maintenance (RRM) context. The concepts and foundations related to RRM are considered for this integration with multicriteria approaches. In the book, a general framework for building decision models is presented and this is illustrated in various chapters by discussing many different decis…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17968-1
- Collation
- XXV, 395
- Series Title
- International Series in Operations Research & Management Science
- Call Number
- -
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