Advances in heavy tailed risk modeling : a handbook of operational risk / / Gareth W. Peters, Pavel V. Shevchenko |
Autore | Peters Gareth W. <1978-> |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
Descrizione fisica | 1 online resource (662 p.) |
Disciplina | 658.15/5 |
Collana | Wiley Handbooks in Financial Engineering and Econometrics |
Soggetto topico |
Risk management
Operational risk |
ISBN |
1-118-90954-2
1-118-90956-9 |
Classificazione | MAT029000TEC009060BUS004000 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Dedication; Contents in Brief; Contents; Preface; Acronyms; Symbols; List of Distributions; Chapter 1 Motivation for Heavy-Tailed Models; 1.1 Structure of the Book; 1.2 Dominance of the Heaviest Tail Risks; 1.3 Empirical Analysis Justifying Heavy-Tailed Loss Models-in OpRisk; 1.4 Motivating Parametric, Spliced and Non-Parametric Severity Models; 1.5 Creating Flexible Heavy-Tailed Models via Splicing; Chapter 2 Fundamentals of Extreme Value Theory for OpRisk; 2.1 Introduction; 2.2 Historical Perspective on EVT and Risk
2.3 Theoretical Properties of Univariate EVT-Block Maxima and the GEV Family2.4 Generalized Extreme Value Loss Distributional Approach (GEV-LDA); 2.4.1 Statistical Considerations for Applicability of the GEV Model; 2.4.2 Various Statistical Estimation Procedures for the GEV Model Parameters in OpRisk Settings; 2.4.3 GEV Sub-Family Approaches in OpRisk LDA Modeling; 2.4.4 Properties of the Frechet-Pareto Family of Severity Models; 2.4.5 Single Risk LDA Poisson-Generalized Pareto Family; 2.4.6 Single Risk LDA Poisson-Burr Family; 2.4.7 Properties of the Gumbel family of Severity Models 2.4.8 Single Risk LDA Poisson-LogNormal Family2.4.9 Single Risk LDA Poisson-Benktander II Models; 2.5 Theoretical Properties of Univariate EVT-Threshold Exceedances; 2.5.1 Understanding the Distribution of Threshold Exceedances; 2.6 Estimation Under the Peaks Over Threshold Approach via the Generalized Pareto Distribution; 2.6.1 Maximum-Likelihood Estimation Under the GPD Model; 2.6.2 Comments on Probability-Weighted Method of Moments Estimation Under the GPD Model; 2.6.3 Robust Estimators of the GPD Model Parameters; 2.6.4 EVT-Random Number of Losses Chapter 3 Heavy-Tailed Model Class Characterizations for LDA3.1 Landau Notations for OpRisk Asymptotics: Big and Little `Oh'; 3.2 Introduction to the Sub-Exponential Family of Heavy-Tailed Models; 3.3 Introduction to the Regular and Slow Variation Families-of Heavy-Tailed Models; 3.4 Alternative Classifications of Heavy-Tailed Models and Tail Variation; 3.5 Extended Regular Variation and Matuszewska Indices for Heavy-Tailed Models; Chapter 4 Flexible Heavy-Tailed Severity Models: α-Stable Family; 4.1 Infinitely Divisible and Self-Decomposable Loss Random Variables 4.1.1 Basic Properties of Characteristic Functions4.1.2 Divisibility and Self-Decomposability of Loss Random Variables; 4.2 Characterizing Heavy-Tailed α-Stable Severity Models; 4.2.1 Characterisations of α-Stable Severity Models via the Domain of Attraction; 4.3 Deriving the Properties and Characterizations of the α-Stable Severity Models; 4.3.1 Unimodality of α-Stable Severity Models; 4.3.2 Relationship between L Class and α-Stable Distributions; 4.3.3 Fundamentals of Obtaining the α-Stable Characteristic Function 4.3.4 From Lévy-Khinchin's Canonical Representation to the α-Stable Characteristic Function Parameterizations |
Record Nr. | UNINA-9910131284903321 |
Peters Gareth W. <1978-> | ||
Hoboken, New Jersey : , : Wiley, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Advances in heavy tailed risk modeling : a handbook of operational risk / / Gareth W. Peters, Pavel V. Shevchenko |
Autore | Peters Gareth W. <1978-> |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
Descrizione fisica | 1 online resource (662 p.) |
Disciplina | 658.15/5 |
Collana | Wiley Handbooks in Financial Engineering and Econometrics |
Soggetto topico |
Risk management
Operational risk |
ISBN |
1-118-90954-2
1-118-90956-9 |
Classificazione | MAT029000TEC009060BUS004000 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Copyright; Dedication; Contents in Brief; Contents; Preface; Acronyms; Symbols; List of Distributions; Chapter 1 Motivation for Heavy-Tailed Models; 1.1 Structure of the Book; 1.2 Dominance of the Heaviest Tail Risks; 1.3 Empirical Analysis Justifying Heavy-Tailed Loss Models-in OpRisk; 1.4 Motivating Parametric, Spliced and Non-Parametric Severity Models; 1.5 Creating Flexible Heavy-Tailed Models via Splicing; Chapter 2 Fundamentals of Extreme Value Theory for OpRisk; 2.1 Introduction; 2.2 Historical Perspective on EVT and Risk
2.3 Theoretical Properties of Univariate EVT-Block Maxima and the GEV Family2.4 Generalized Extreme Value Loss Distributional Approach (GEV-LDA); 2.4.1 Statistical Considerations for Applicability of the GEV Model; 2.4.2 Various Statistical Estimation Procedures for the GEV Model Parameters in OpRisk Settings; 2.4.3 GEV Sub-Family Approaches in OpRisk LDA Modeling; 2.4.4 Properties of the Frechet-Pareto Family of Severity Models; 2.4.5 Single Risk LDA Poisson-Generalized Pareto Family; 2.4.6 Single Risk LDA Poisson-Burr Family; 2.4.7 Properties of the Gumbel family of Severity Models 2.4.8 Single Risk LDA Poisson-LogNormal Family2.4.9 Single Risk LDA Poisson-Benktander II Models; 2.5 Theoretical Properties of Univariate EVT-Threshold Exceedances; 2.5.1 Understanding the Distribution of Threshold Exceedances; 2.6 Estimation Under the Peaks Over Threshold Approach via the Generalized Pareto Distribution; 2.6.1 Maximum-Likelihood Estimation Under the GPD Model; 2.6.2 Comments on Probability-Weighted Method of Moments Estimation Under the GPD Model; 2.6.3 Robust Estimators of the GPD Model Parameters; 2.6.4 EVT-Random Number of Losses Chapter 3 Heavy-Tailed Model Class Characterizations for LDA3.1 Landau Notations for OpRisk Asymptotics: Big and Little `Oh'; 3.2 Introduction to the Sub-Exponential Family of Heavy-Tailed Models; 3.3 Introduction to the Regular and Slow Variation Families-of Heavy-Tailed Models; 3.4 Alternative Classifications of Heavy-Tailed Models and Tail Variation; 3.5 Extended Regular Variation and Matuszewska Indices for Heavy-Tailed Models; Chapter 4 Flexible Heavy-Tailed Severity Models: α-Stable Family; 4.1 Infinitely Divisible and Self-Decomposable Loss Random Variables 4.1.1 Basic Properties of Characteristic Functions4.1.2 Divisibility and Self-Decomposability of Loss Random Variables; 4.2 Characterizing Heavy-Tailed α-Stable Severity Models; 4.2.1 Characterisations of α-Stable Severity Models via the Domain of Attraction; 4.3 Deriving the Properties and Characterizations of the α-Stable Severity Models; 4.3.1 Unimodality of α-Stable Severity Models; 4.3.2 Relationship between L Class and α-Stable Distributions; 4.3.3 Fundamentals of Obtaining the α-Stable Characteristic Function 4.3.4 From Lévy-Khinchin's Canonical Representation to the α-Stable Characteristic Function Parameterizations |
Record Nr. | UNINA-9910821981903321 |
Peters Gareth W. <1978-> | ||
Hoboken, New Jersey : , : Wiley, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|