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Counting Statistics for Dependent Random Events - With a Focus on Finance (Paperback, 1st ed. 2021): Enrico Bernardi, Silvia... Counting Statistics for Dependent Random Events - With a Focus on Finance (Paperback, 1st ed. 2021)
Enrico Bernardi, Silvia Romagnoli
R3,443 Discovery Miles 34 430 Ships in 10 - 15 working days

This book on counting statistics presents a novel copula-based approach to counting dependent random events. It combines clustering, combinatorics-based algorithms and dependence structure in order to tackle and simplify complex problems, without disregarding the hierarchy of or interconnections between the relevant variables. These problems typically arise in real-world applications and computations involving big data in finance, insurance and banking, where experts are confronted with counting variables in monitoring random events. In this new approach, combinatorial distributions of random events are the core element. In order to deal with the high-dimensional features of the problem, the combinatorial techniques are used together with a clustering approach, where groups of variables sharing common characteristics and similarities are identified and the dependence structure within groups is taken into account. The original problems can then be modeled using new classes of copulas, referred to here as clusterized copulas, which are essentially based on preliminary groupings of variables depending on suitable characteristics and hierarchical aspects. The book includes examples and real-world data applications, with a special focus on financial applications, where the new algorithms' performance is compared to alternative approaches and further analyzed. Given its scope, the book will be of interest to master students, PhD students and researchers whose work involves or can benefit from the innovative methodologies put forward here. It will also stimulate the empirical use of new approaches among professionals and practitioners in finance, insurance and banking.

Counting Statistics for Dependent Random Events - With a Focus on Finance (Hardcover, 1st ed. 2021): Enrico Bernardi, Silvia... Counting Statistics for Dependent Random Events - With a Focus on Finance (Hardcover, 1st ed. 2021)
Enrico Bernardi, Silvia Romagnoli
R3,476 Discovery Miles 34 760 Ships in 10 - 15 working days

This book on counting statistics presents a novel copula-based approach to counting dependent random events. It combines clustering, combinatorics-based algorithms and dependence structure in order to tackle and simplify complex problems, without disregarding the hierarchy of or interconnections between the relevant variables. These problems typically arise in real-world applications and computations involving big data in finance, insurance and banking, where experts are confronted with counting variables in monitoring random events. In this new approach, combinatorial distributions of random events are the core element. In order to deal with the high-dimensional features of the problem, the combinatorial techniques are used together with a clustering approach, where groups of variables sharing common characteristics and similarities are identified and the dependence structure within groups is taken into account. The original problems can then be modeled using new classes of copulas, referred to here as clusterized copulas, which are essentially based on preliminary groupings of variables depending on suitable characteristics and hierarchical aspects. The book includes examples and real-world data applications, with a special focus on financial applications, where the new algorithms' performance is compared to alternative approaches and further analyzed. Given its scope, the book will be of interest to master students, PhD students and researchers whose work involves or can benefit from the innovative methodologies put forward here. It will also stimulate the empirical use of new approaches among professionals and practitioners in finance, insurance and banking.

Mathematical Finance (Paperback): Silvia Romagnoli Mathematical Finance (Paperback)
Silvia Romagnoli
R1,101 R931 Discovery Miles 9 310 Save R170 (15%) Ships in 10 - 15 working days

True to its title, this book is focused on mathematical finance field and it is draft in order to accomplish the level aimed at second or third year undergraduate students, not only of mathematics but also, for example, business management, finance and economics. The aim of this book is to provide the basic concepts concerning the mathematical finance which is unescapable to understand the way modern financial markets operate.Thanks to these fundamental concepts, which are completely concentrated on a deterministic modelization of the markets, students are ready to approach more advanced courses focused on the modern area of financial math. Here the deterministic assumption is left and stochastic assumptions concerning the evolution of the involved variables are included.

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