Nonstandard Analysis

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1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli cability of NSA more widely known and available to research mathemati cians.

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Genre : Mathematics
Author : Leif O. Arkeryd
Publisher : Springer Science & Business Media
Release : 2012-12-06
File : 374 Pages
ISBN-13 : 9789401155441


Mathematical And Statistical Methods For Actuarial Sciences And Finance

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The interaction between mathematicians, statisticians and econometricians working in actuarial sciences and finance is producing numerous meaningful scientific results. This volume introduces new ideas, in the form of four-page papers, presented at the international conference Mathematical and Statistical Methods for Actuarial Sciences and Finance (MAF), held at Universidad Carlos III de Madrid (Spain), 4th-6th April 2018. The book covers a wide variety of subjects in actuarial science and financial fields, all discussed in the context of the cooperation between the three quantitative approaches. The topics include: actuarial models; analysis of high frequency financial data; behavioural finance; carbon and green finance; credit risk methods and models; dynamic optimization in finance; financial econometrics; forecasting of dynamical actuarial and financial phenomena; fund performance evaluation; insurance portfolio risk analysis; interest rate models; longevity risk; machine learning and soft-computing in finance; management in insurance business; models and methods for financial time series analysis, models for financial derivatives; multivariate techniques for financial markets analysis; optimization in insurance; pricing; probability in actuarial sciences, insurance and finance; real world finance; risk management; solvency analysis; sovereign risk; static and dynamic portfolio selection and management; trading systems. This book is a valuable resource for academics, PhD students, practitioners, professionals and researchers, and is also of interest to other readers with quantitative background knowledge.

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Genre : Business & Economics
Author : Marco Corazza
Publisher : Springer
Release : 2018-07-17
File : 465 Pages
ISBN-13 : 9783319898247


Understanding Financial Risk Management

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Financial risk management is a topic of primary importance in financial markets. It is important to learn how to measure and control risk, how to be primed for the opportunity of compensative return, and how to avoid useless exposure.

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Genre : Business & Economics
Author : Angelo Corelli
Publisher : Emerald Group Publishing
Release : 2024-05-27
File : 605 Pages
ISBN-13 : 9781837532506


Statistical Analysis Of Financial Data

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Statistical Analysis of Financial Data covers the use of statistical analysis and the methods of data science to model and analyze financial data. The first chapter is an overview of financial markets, describing the market operations and using exploratory data analysis to illustrate the nature of financial data. The software used to obtain the data for the examples in the first chapter and for all computations and to produce the graphs is R. However discussion of R is deferred to an appendix to the first chapter, where the basics of R, especially those most relevant in financial applications, are presented and illustrated. The appendix also describes how to use R to obtain current financial data from the internet. Chapter 2 describes the methods of exploratory data analysis, especially graphical methods, and illustrates them on real financial data. Chapter 3 covers probability distributions useful in financial analysis, especially heavy-tailed distributions, and describes methods of computer simulation of financial data. Chapter 4 covers basic methods of statistical inference, especially the use of linear models in analysis, and Chapter 5 describes methods of time series with special emphasis on models and methods applicable to analysis of financial data. Features * Covers statistical methods for analyzing models appropriate for financial data, especially models with outliers or heavy-tailed distributions. * Describes both the basics of R and advanced techniques useful in financial data analysis. * Driven by real, current financial data, not just stale data deposited on some static website. * Includes a large number of exercises, many requiring the use of open-source software to acquire real financial data from the internet and to analyze it.

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Genre : Business & Economics
Author : James Gentle
Publisher : CRC Press
Release : 2020-03-12
File : 666 Pages
ISBN-13 : 9780429939235


Financial Cryptography And Data Security

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This book constitutes the thoroughly refereed post-conference proceedings of the 22nd International Conference on Financial Cryptography and Data Security, FC 2018, held in Nieuwport, Curaçao, in February/ March 2018. The 27 revised full papers and 2 short papers were carefully selected and reviewed from 110 submissions. The papers are grouped in the following topical sections: Financial Cryptography and Data Security, Applied Cryptography, Mobile Systems Security and Privacy, Risk Assessment and Management, Social Networks Security and Privacy and much more.

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Genre : Computers
Author : Sarah Meiklejohn
Publisher : Springer Nature
Release : 2019-08-29
File : 558 Pages
ISBN-13 : 9783662583876


Statistical Methods For Stochastic Differential Equations

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The seventh volume in the SemStat series, Statistical Methods for Stochastic Differential Equations presents current research trends and recent developments in statistical methods for stochastic differential equations. Written to be accessible to both new students and seasoned researchers, each self-contained chapter starts with introductions to th

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Genre : Mathematics
Author : Mathieu Kessler
Publisher : CRC Press
Release : 2012-05-17
File : 507 Pages
ISBN-13 : 9781439849767


Sec Docket

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Genre : Securities
Author : United States. Securities and Exchange Commission
Publisher :
Release : 2008
File : 1352 Pages
ISBN-13 : OSU:32437122778331


Sustainable Banking

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This comprehensive addition to the debate on sustainable development has been produced in order to take a global pulse on how the financial services sector is responding to the growing challenge of shareholder and stakeholder expectations on social and environmental performance. In the opinion of many commentators in this new book, given the intermediary role banks play within economies, their potential contribution toward sustainable development is enormous. Indeed, for banks, the conclusion that corporate sustainability has become an investable concept that increases long-term shareholder value is becoming difficult to deny.To date, banks have been relatively slow to examine their exposure to risk (the environmental and social performance of their clients) and the business opportunities of sustainable development (the products and services they offer). Not before time, Sustainable Banking concludes that this is beginning to change, with both risk and opportunity becoming established elements in banking policies towards environmental sustainability. In addition, banks have now begun to take notice of and address their own environmental performance. Through the use of case studies and detailed analysis, the book examines the environmental policies of banks, the importance of transparency and communication with their stakeholders, environmental and ethical investment funds, current practice by the providers of financial services with regard to environmental risk management and, finally, the key role of government, NGOs and multilateral banks in delivering sustainability.Sustainable banking has not, however, been achieved and nor will it be in the immediate future. As globalisation proceeds apace, Sustainable Banking argues that improvements are necessary in banks' attitudes toward transparency and accountability with regard to their lending policies. In addition, in order to promote best practice, the leading banks need to start measuring their customers' environmental performance in order to persuade polluting clients that minimum compliance to regulations will no longer suffice. The book finds many shining examples in the co-operative, mutual and social sectors for the big players to emulate. Environmental and ethical considerations in such loan portfolios have proven to be profitable and "best-in-class" larger banks are now also reaping benefits.The unprecedented scope of the book has attracted contributors from four continents including Deloitte & Touche, Rabobank, The World Bank, The European Bank for Reconstruction and Development, The United Nations Environment Programme, The World Business Council for Sustainable Development, UBS, Henderson Investors, KPMG, The World Resources Institute and SAM Sustainability.

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Genre : Business & Economics
Author : Jan Jaap Bouma
Publisher : Routledge
Release : 2017-09-08
File : 480 Pages
ISBN-13 : 9781351282390


Statistical Methods In Analytical Chemistry

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This new edition of a successful, bestselling book continues to provide you with practical information on the use of statistical methods for solving real-world problems in complex industrial environments. Complete with examples from the chemical and pharmaceutical laboratory and manufacturing areas, this thoroughly updated book clearly demonstrates how to obtain reliable results by choosing the most appropriate experimental design and data evaluation methods. Unlike other books on the subject, Statistical Methods in Analytical Chemistry, Second Edition presents and solves problems in the context of a comprehensive decision-making process under GMP rules: Would you recommend the destruction of a $100,000 batch of product if one of four repeat determinations barely fails the specification limit? How would you prevent this from happening in the first place? Are you sure the calculator you are using is telling the truth? To help you control these situations, the new edition: * Covers univariate, bivariate, and multivariate data * Features case studies from the pharmaceutical and chemical industries demonstrating typical problems analysts encounter and the techniques used to solve them * Offers information on ancillary techniques, including a short introduction to optimization, exploratory data analysis, smoothing and computer simulation, and recapitulation of error propagation * Boasts numerous Excel files and compiled Visual Basic programs-no statistical table lookups required! * Uses Monte Carlo simulation to illustrate the variability inherent in statistically indistinguishable data sets Statistical Methods in Analytical Chemistry, Second Edition is an excellent, one-of-a-kind resource for laboratory scientists and engineers and project managers who need to assess data reliability; QC staff, regulators, and customers who want to frame realistic requirements and specifications; as well as educators looking for real-life experiments and advanced students in chemistry and pharmaceutical science. From the reviews of Statistical Methods in Analytical Chemistry, First Edition: "This book is extremely valuable. The authors supply many very useful programs along with their source code. Thus, the user can check the authenticity of the result and gain a greater understanding of the algorithm from the code. It should be on the bookshelf of every analytical chemist."-Applied Spectroscopy "The authors have compiled an interesting collection of data to illustrate the application of statistical methods . . . including calibrating, setting detection limits, analyzing ANOVA data, analyzing stability data, and determining the influence of error propagation."-Clinical Chemistry "The examples are taken from a chemical/pharmaceutical environment, but serve as convenient vehicles for the discussion of when to use which test, and how to make sense out of the results. While practical use of statistics is the major concern, it is put into perspective, and the reader is urged to use plausibility checks."-Journal of Chemical Education "The discussion of univariate statistical tests is one of the more thorough I have seen in this type of book . . . The treatment of linear regression is also thorough, and a complete set of equations for uncertainty in the results is presented . . . The bibliography is extensive and will serve as a valuable resource for those seeking more information on virtually any topic covered in the book."-Journal of American Chemical Society "This book treats the application of statistics to analytical chemistry in a very practical manner. [It] integrates PC computing power, testing programs, and analytical know-how in the context of good manufacturing practice/good laboratory practice (GMP/GLP) . . .The book is of value in many fields of analytical chemistry and should be available in all relevant libraries."-Chemometrics and Intelligent Laboratory Systems

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Genre : Science
Author : Peter C. Meier
Publisher : John Wiley & Sons
Release : 2005-03-04
File : 452 Pages
ISBN-13 : 9780471726111


Financial Institutions And Services

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Book & Computer Disk. This book examines international aspects of financial institutions as well as their economic performance and development. Emphasis is placed on transition economics as well as Developing Countries. Issues within the scope of this new book include: financial reporting, efficiency of financial institutions, Middle-East financial institutions, money market liquidity, economic performance, risk capital allocation, financial market soundness, instability, devaluations, capital flight and related issues, including governance.

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Genre : Business & Economics
Author : Robert S. Uh
Publisher : Nova Publishers
Release : 2006
File : 294 Pages
ISBN-13 : 1594546223