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The Cramér-Lundberg Model and Its Variants : A Queueing Perspective / / Michel Mandjes and Onno Boxma
| The Cramér-Lundberg Model and Its Variants : A Queueing Perspective / / Michel Mandjes and Onno Boxma |
| Autore | Mandjes Michel <1970-> |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (XI, 246 p. 31 illus.) |
| Disciplina | 354.81150006 |
| Collana | Springer Actuarial Series |
| Soggetto topico | Insurance - Mathematical models |
| ISBN | 3-031-39105-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Cramér-Lundberg Model -- 1.1 Introduction -- 1.2 Ruin Model, and Dual Queueing Model -- 1.3 Method 1: Conditioning on the First Event -- 1.4 Method 2: Ladder Heights, Busy Periods -- 1.5 Method 3: Kella-Whitt Martingale -- 1.6 Method 4: Kolmogorov Forward Equations -- 1.7 Discussion and Bibliographical Notes -- 1.8 Biographical Sketches -- Exercises -- References -- 2 Asymptotics -- 2.1 Introduction -- 2.2 Light-Tailed Case -- 2.3 Subexponential Case -- 2.4 Time-Dependent Ruin Probability -- 2.5 Heavy Traffic -- 2.6 Discussion and Bibliographical Notes -- Exercises -- References -- 3 Regime Switching -- 3.1 Introduction -- 3.2 System of Linear Equations for Transforms -- 3.3 Identification of the Unknown Constants -- 3.4 Cramér-Lundberg Model Over a Phase-Type Horizon -- 3.5 Resampling -- 3.6 Discussion and Bibliographical Notes -- Exercises -- References -- 4 Interest and Two-Sided Jumps -- 4.1 Introduction -- 4.2 Model and Notation -- 4.3 Exponential Upward Jumps -- 4.4 Relaxation of the Exponentiality Assumptions -- 4.5 Discussion and Bibliographical Notes -- Exercises -- References -- 5 Threshold-Based Net Cumulative Claim Process -- 5.1 Introduction -- 5.2 Scale Functions -- 5.3 Decomposition -- 5.4 Computation of Auxiliary Objects -- 5.5 Discussion and Bibliographical Notes -- Exercises -- References -- 6 Level-Dependent Dynamics -- 6.1 Introduction -- 6.2 Level-Dependent Premium Rate -- 6.3 Level-Dependent Premium Rate and Claim Arrival Rate -- 6.4 A Specific Level-Dependent Model -- 6.5 A Tax Identity -- 6.6 Discussion and Bibliographical Notes -- Exercises -- References -- 7 Multivariate Ruin -- 7.1 Introduction -- 7.2 Two-Dimensional Case -- 7.3 Higher-Dimensional Case -- 7.4 Tandem Queueing Networks -- 7.5 Multivariate Gerber-Shiu Metrics -- 7.6 Discussion and Bibliographical Notes -- Exercises.
References -- 8 Arrival Processes with Clustering -- 8.1 Introduction -- 8.2 M/G/Infinity Driven Arrivals -- 8.3 Shot-Noise Driven Arrivals -- 8.4 Hawkes Driven Arrivals -- 8.5 Discussion and Bibliographical Notes -- Exercises -- References -- 9 Dependence Between Claim Sizes and Interarrival Times -- 9.1 Introduction -- 9.2 Claim Size Being Correlated with Previous Interarrival Time -- 9.3 Interarrival Time Being Correlated with Previous Claim Size -- 9.4 A More General Markov-Dependent Risk Model -- 9.5 Discussion and Bibliographical Notes -- Exercises -- References -- 10 Advanced Bankruptcy Concepts -- 10.1 Introduction -- 10.2 Poisson Inspection Times -- 10.3 Length of First Excursion -- 10.4 Total Time with Negative Surplus -- 10.5 Discussion and Bibliographical Notes -- Exercises -- References -- A Laplace Transforms -- A.1 Definitions -- A.2 Some Convenient Properties -- A.3 Some Useful Concepts and Results -- A.4 Discussion and Bibliographical Notes -- Exercises -- B Some Queueing Theory -- B.1 Single-Server Queue M/G/1 -- B.2 Infinite-Server Queue M/G/Infinity -- B.3 Discussion and Bibliographical Notes -- Exercises -- References. |
| Record Nr. | UNINA-9910766880203321 |
Mandjes Michel <1970->
|
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| Cham, Switzerland : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Decentralized insurance : technical foundation of business models / / Runhuan Feng
| Decentralized insurance : technical foundation of business models / / Runhuan Feng |
| Autore | Feng Runhuan |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (279 pages) |
| Disciplina | 368.01 |
| Collana | Springer Actuarial |
| Soggetto topico |
Insurance - Statistical methods
Insurance - Mathematical models Probabilities Statistics Mathematics in Business, Economics and Finance Applied Probability Applied Statistics Assegurances Estadística matemàtica Models matemàtics |
| Soggetto genere / forma | Llibres electrònics |
| Soggetto non controllato |
Finance
Business & Economics |
| ISBN |
9783031295591
3031295595 9783031295584 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Risk Assessment and Measures -- 3. Economics of Risk and Insurance -- 4. Traditional Insurance -- 5. Decentralized Insurance -- 6. Aggregate Risk Pooling -- 7. P2P Risk Exchange -- 8. Unified Framework -- 9. DeFi Insurance -- Reference. – Index. |
| Record Nr. | UNINA-9910726286603321 |
|
Feng Runhuan
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Financial modeling, actuarial valuation and solvency in insurance / / Mario V. Wuthrich, Michael Merz
| Financial modeling, actuarial valuation and solvency in insurance / / Mario V. Wuthrich, Michael Merz |
| Autore | Wüthrich Mario V |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Heidelberg, Germany : , : Springer, , 2013 |
| Descrizione fisica | 1 online resource (xiv, 432 pages) : illustrations |
| Disciplina |
368.001
368.0015118 368.01 |
| Collana | Springer Finance |
| Soggetto topico |
Insurance - Mathematical models
Insurance - Statistical methods |
| ISBN | 3-642-31392-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Introduction -- Part I: Financial Valuation Principles -- 2.State price deflators and stochastic discounting -- 3.spot rate models -- 4.Stochastic forward rate and yield curve modeling -- 5.Pricing of financial assets -- Part II: Actuarial Valuation and Solvency -- 6.Actuarial and financial modeling -- 7.Valuation portfolio -- 8.Protected valuation portfolio -- 9.Solvency -- 10.Selected topics and examples -- Part III: Appendix -- 11.Auxiliary considerations -- References -- Index. |
| Record Nr. | UNINA-9910437867903321 |
|
Wüthrich Mario V
|
||
| Heidelberg, Germany : , : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introductory stochastic analysis for finance and insurance [[electronic resource] /] / X. Sheldon Lin
| Introductory stochastic analysis for finance and insurance [[electronic resource] /] / X. Sheldon Lin |
| Autore | Lin X. Sheldon |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley, c2006 |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina |
332.01/51923
368.010151922 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Finance - Mathematical models
Insurance - Mathematical models Stochastic analysis |
| ISBN |
1-280-41150-3
9786610411504 0-470-36217-0 0-471-79321-3 0-471-79320-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introductory Stochastic Analysis for Finance and InsuranceIntroductory Stochastic Analysis for Finance and Insurance; CONTENTS; List of Figures; List of Tables; Preface; 1 Introduction; 2 Overview of Probability Theory; 2.1 Probability Spaces and Information Structures; 2.2 Random Variables, Moments and Transforms; LIST OF FIGURES; 2.1. The price of a stock over a two-day period.; 2.3 Multivariate Distributions; 2.4 Conditional Probability and Conditional Distributions; 2.2. The probability tree of the stock price over a two-day period.; 2.5 Conditional Expectation
2.3. The expectation tree of the stock price over a two-day period.2.6 The Central Limit Theorem; 3 Discrete-Time Stochastic Processes; 3.1 Stochastic Processes and Information Structures; 3.2 Random Walks; 3.1. The tree of a standard random walk.; 3.2. The binomial model of the stock price.; 3.3 Discrete-Time Markov Chains; 3.3. The binomial tree of the stock price.; 3.4 Martingales and Change of Probability Measure; 3.5 Stopping Times; 3.6 Option Pricing with Binomial Models; 3.4. The returns of a stock and a bond.; 3.5. The payoff function of a call.; 3.6. The payoff function of a put. 3.7. The payoff function of a strangle.3.7 Binomial Interest Rate Models; LIST OF TABLES; 3.1. A sample of quotes on U.S. Treasuries.; 3.8. Treasury yield curve, Treasury zero curve, and Treasury forward rate curve based on the quotes in Table 3.1.; 3.2. The market term structure.; 3.9. Constructing a short rate tree: step one.; 3.10. Constructing a short rate tree: step two.; 3.11. The complete short rate tree.; 4 Continuous-Time Stochastic Processes; 4.1 General Description of Continuous-Time Stochastic Processes; 4.2 Brownian Motion 4.1. A sample path of standard Brownian motion (μ = 0 and σ = 1).4.3 The Reflection Principle and Barrier Hitting Probabilities; 4.2. A sample path of Brownian motion with μ = 1 and σ = 1.; 4.3. A sample path of Brownian motion with μ = -1 and σ = 1.; 4.4. A sample path of Brownian motion with μ = 0 and σ = 2.; 4.5. A sample path of Brownian motion with μ = 0 and σ = 0.5.; 4.6. A path of standard Brownian motion reflected after hitting.; 4.7. A path of standard Brownian motion reflected before hitting.; 4.4 The Poisson Process and Compound Poisson Process 4.8. A sample path of a compound Poisson process.4.9. A sample path of the shifted Poisson process {Xτ(t)}.; 4.5 Martingales; 4.6 Stopping Times and the Optional Sampling Theorem; 5 Stochastic Calculus: Basic Topics; 5.1 Stochastic (Ito) Integration; 5.2 Stochastic Differential Equations; 5.3 One-Dimensional Ito's Lemma; 5.1. The product rules in stochastic calculus.; 5.4 Continuous-Time Interest Rate Models; 5.5 The Black-Scholes Model and Option Pricing Formula; 5.6 The Stochastic Version of Integration by Parts; 5.7 Exponential Martingales; 5.8 The Martingale Representation Theorem 6 Stochastic Calculus: Advanced Topics |
| Record Nr. | UNINA-9910145033603321 |
|
Lin X. Sheldon
|
||
| Hoboken, N.J., : John Wiley, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introductory stochastic analysis for finance and insurance [[electronic resource] /] / X. Sheldon Lin
| Introductory stochastic analysis for finance and insurance [[electronic resource] /] / X. Sheldon Lin |
| Autore | Lin X. Sheldon |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley, c2006 |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina |
332.01/51923
368.010151922 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Finance - Mathematical models
Insurance - Mathematical models Stochastic analysis |
| ISBN |
1-280-41150-3
9786610411504 0-470-36217-0 0-471-79321-3 0-471-79320-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introductory Stochastic Analysis for Finance and InsuranceIntroductory Stochastic Analysis for Finance and Insurance; CONTENTS; List of Figures; List of Tables; Preface; 1 Introduction; 2 Overview of Probability Theory; 2.1 Probability Spaces and Information Structures; 2.2 Random Variables, Moments and Transforms; LIST OF FIGURES; 2.1. The price of a stock over a two-day period.; 2.3 Multivariate Distributions; 2.4 Conditional Probability and Conditional Distributions; 2.2. The probability tree of the stock price over a two-day period.; 2.5 Conditional Expectation
2.3. The expectation tree of the stock price over a two-day period.2.6 The Central Limit Theorem; 3 Discrete-Time Stochastic Processes; 3.1 Stochastic Processes and Information Structures; 3.2 Random Walks; 3.1. The tree of a standard random walk.; 3.2. The binomial model of the stock price.; 3.3 Discrete-Time Markov Chains; 3.3. The binomial tree of the stock price.; 3.4 Martingales and Change of Probability Measure; 3.5 Stopping Times; 3.6 Option Pricing with Binomial Models; 3.4. The returns of a stock and a bond.; 3.5. The payoff function of a call.; 3.6. The payoff function of a put. 3.7. The payoff function of a strangle.3.7 Binomial Interest Rate Models; LIST OF TABLES; 3.1. A sample of quotes on U.S. Treasuries.; 3.8. Treasury yield curve, Treasury zero curve, and Treasury forward rate curve based on the quotes in Table 3.1.; 3.2. The market term structure.; 3.9. Constructing a short rate tree: step one.; 3.10. Constructing a short rate tree: step two.; 3.11. The complete short rate tree.; 4 Continuous-Time Stochastic Processes; 4.1 General Description of Continuous-Time Stochastic Processes; 4.2 Brownian Motion 4.1. A sample path of standard Brownian motion (μ = 0 and σ = 1).4.3 The Reflection Principle and Barrier Hitting Probabilities; 4.2. A sample path of Brownian motion with μ = 1 and σ = 1.; 4.3. A sample path of Brownian motion with μ = -1 and σ = 1.; 4.4. A sample path of Brownian motion with μ = 0 and σ = 2.; 4.5. A sample path of Brownian motion with μ = 0 and σ = 0.5.; 4.6. A path of standard Brownian motion reflected after hitting.; 4.7. A path of standard Brownian motion reflected before hitting.; 4.4 The Poisson Process and Compound Poisson Process 4.8. A sample path of a compound Poisson process.4.9. A sample path of the shifted Poisson process {Xτ(t)}.; 4.5 Martingales; 4.6 Stopping Times and the Optional Sampling Theorem; 5 Stochastic Calculus: Basic Topics; 5.1 Stochastic (Ito) Integration; 5.2 Stochastic Differential Equations; 5.3 One-Dimensional Ito's Lemma; 5.1. The product rules in stochastic calculus.; 5.4 Continuous-Time Interest Rate Models; 5.5 The Black-Scholes Model and Option Pricing Formula; 5.6 The Stochastic Version of Integration by Parts; 5.7 Exponential Martingales; 5.8 The Martingale Representation Theorem 6 Stochastic Calculus: Advanced Topics |
| Record Nr. | UNINA-9910831197103321 |
|
Lin X. Sheldon
|
||
| Hoboken, N.J., : John Wiley, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introductory stochastic analysis for finance and insurance [[electronic resource] /] / X. Sheldon Lin
| Introductory stochastic analysis for finance and insurance [[electronic resource] /] / X. Sheldon Lin |
| Autore | Lin X. Sheldon |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley, c2006 |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina |
332.01/51923
368.010151922 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Finance - Mathematical models
Insurance - Mathematical models Stochastic analysis |
| ISBN |
1-280-41150-3
9786610411504 0-470-36217-0 0-471-79321-3 0-471-79320-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Introductory Stochastic Analysis for Finance and InsuranceIntroductory Stochastic Analysis for Finance and Insurance; CONTENTS; List of Figures; List of Tables; Preface; 1 Introduction; 2 Overview of Probability Theory; 2.1 Probability Spaces and Information Structures; 2.2 Random Variables, Moments and Transforms; LIST OF FIGURES; 2.1. The price of a stock over a two-day period.; 2.3 Multivariate Distributions; 2.4 Conditional Probability and Conditional Distributions; 2.2. The probability tree of the stock price over a two-day period.; 2.5 Conditional Expectation
2.3. The expectation tree of the stock price over a two-day period.2.6 The Central Limit Theorem; 3 Discrete-Time Stochastic Processes; 3.1 Stochastic Processes and Information Structures; 3.2 Random Walks; 3.1. The tree of a standard random walk.; 3.2. The binomial model of the stock price.; 3.3 Discrete-Time Markov Chains; 3.3. The binomial tree of the stock price.; 3.4 Martingales and Change of Probability Measure; 3.5 Stopping Times; 3.6 Option Pricing with Binomial Models; 3.4. The returns of a stock and a bond.; 3.5. The payoff function of a call.; 3.6. The payoff function of a put. 3.7. The payoff function of a strangle.3.7 Binomial Interest Rate Models; LIST OF TABLES; 3.1. A sample of quotes on U.S. Treasuries.; 3.8. Treasury yield curve, Treasury zero curve, and Treasury forward rate curve based on the quotes in Table 3.1.; 3.2. The market term structure.; 3.9. Constructing a short rate tree: step one.; 3.10. Constructing a short rate tree: step two.; 3.11. The complete short rate tree.; 4 Continuous-Time Stochastic Processes; 4.1 General Description of Continuous-Time Stochastic Processes; 4.2 Brownian Motion 4.1. A sample path of standard Brownian motion (μ = 0 and σ = 1).4.3 The Reflection Principle and Barrier Hitting Probabilities; 4.2. A sample path of Brownian motion with μ = 1 and σ = 1.; 4.3. A sample path of Brownian motion with μ = -1 and σ = 1.; 4.4. A sample path of Brownian motion with μ = 0 and σ = 2.; 4.5. A sample path of Brownian motion with μ = 0 and σ = 0.5.; 4.6. A path of standard Brownian motion reflected after hitting.; 4.7. A path of standard Brownian motion reflected before hitting.; 4.4 The Poisson Process and Compound Poisson Process 4.8. A sample path of a compound Poisson process.4.9. A sample path of the shifted Poisson process {Xτ(t)}.; 4.5 Martingales; 4.6 Stopping Times and the Optional Sampling Theorem; 5 Stochastic Calculus: Basic Topics; 5.1 Stochastic (Ito) Integration; 5.2 Stochastic Differential Equations; 5.3 One-Dimensional Ito's Lemma; 5.1. The product rules in stochastic calculus.; 5.4 Continuous-Time Interest Rate Models; 5.5 The Black-Scholes Model and Option Pricing Formula; 5.6 The Stochastic Version of Integration by Parts; 5.7 Exponential Martingales; 5.8 The Martingale Representation Theorem 6 Stochastic Calculus: Advanced Topics |
| Record Nr. | UNINA-9910841302203321 |
|
Lin X. Sheldon
|
||
| Hoboken, N.J., : John Wiley, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik
| Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik |
| Autore | Hogg Robert V |
| Pubbl/distr/stampa | New York, : Wiley, c1984 |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina |
368
368.0101519532 368.015 |
| Altri autori (Persone) | KlugmanStuart A. <1949-> |
| Collana | Wiley series in probability and mathematical statistics |
| Soggetto topico |
Insurance - Mathematical models
Insurance - Statistical methods |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-30796-7
9786612307966 0-470-31663-2 0-470-31730-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
LOSS DISTRIBUTIONS; Contents; 1. Introduction; 1.1. Basic Terminology; 1.2. Coverage Limitations; 1.3. Evaluation of Coverage Limitations; 1.4. Data Collection and Modeling; 2. Models for Random Variables; 2.1. Models; 2.2. The Poisson Process and Related Models; 2.3. Models for Joint Random Variables; 2.4. Normal Models; 2.5. Linear Functions of Random Variables; 2.6. Functions of Random Variables; 2.7. The Mixture of Models; 3. Statistical Inference; 3.1. Model-Free Estimation of Distributions; 3.2. Estimating Distributions by Simulation; 3.3. Point Estimation; 3.4. Interval Estimation
3.5. Tests of Statistical Hypotheses3.6. Testing the Fit of Models; 3.7. Applications and Associated Algorithms; 4. Modeling Loss Distributions; 4.1. Introduction; 4.2. Ungrouped Data, Truncation from Below; 4.3. Grouped Data, Mixture of Models; 4.4. Truncated and Shifted Data, Mixture of Models; 4.5. Clustering, Truncation from Above, Combining Samples; 4.6. A Bivariate Model; 4.7. A Review of the Modeling Process; 5. Applications of Distributional Models; 5.1. Introduction; 5.2. Inflation, Percentile Estimation; 5.3. Deductibles, Leveraging 5.4. Other Deductibles, Comparisons of Distributions5.5. Limits, Comparisons of Distributions; 5.6. Limits, Layers, Allocated Loss Adjustment Expenses; References; Appendix Characteristics of Selected Distributions; Index |
| Record Nr. | UNINA-9910144696103321 |
|
Hogg Robert V
|
||
| New York, : Wiley, c1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik
| Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik |
| Autore | Hogg Robert V |
| Pubbl/distr/stampa | New York, : Wiley, c1984 |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina |
368
368.0101519532 368.015 |
| Altri autori (Persone) | KlugmanStuart A. <1949-> |
| Collana | Wiley series in probability and mathematical statistics |
| Soggetto topico |
Insurance - Mathematical models
Insurance - Statistical methods |
| ISBN |
1-282-30796-7
9786612307966 0-470-31663-2 0-470-31730-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
LOSS DISTRIBUTIONS; Contents; 1. Introduction; 1.1. Basic Terminology; 1.2. Coverage Limitations; 1.3. Evaluation of Coverage Limitations; 1.4. Data Collection and Modeling; 2. Models for Random Variables; 2.1. Models; 2.2. The Poisson Process and Related Models; 2.3. Models for Joint Random Variables; 2.4. Normal Models; 2.5. Linear Functions of Random Variables; 2.6. Functions of Random Variables; 2.7. The Mixture of Models; 3. Statistical Inference; 3.1. Model-Free Estimation of Distributions; 3.2. Estimating Distributions by Simulation; 3.3. Point Estimation; 3.4. Interval Estimation
3.5. Tests of Statistical Hypotheses3.6. Testing the Fit of Models; 3.7. Applications and Associated Algorithms; 4. Modeling Loss Distributions; 4.1. Introduction; 4.2. Ungrouped Data, Truncation from Below; 4.3. Grouped Data, Mixture of Models; 4.4. Truncated and Shifted Data, Mixture of Models; 4.5. Clustering, Truncation from Above, Combining Samples; 4.6. A Bivariate Model; 4.7. A Review of the Modeling Process; 5. Applications of Distributional Models; 5.1. Introduction; 5.2. Inflation, Percentile Estimation; 5.3. Deductibles, Leveraging 5.4. Other Deductibles, Comparisons of Distributions5.5. Limits, Comparisons of Distributions; 5.6. Limits, Layers, Allocated Loss Adjustment Expenses; References; Appendix Characteristics of Selected Distributions; Index |
| Record Nr. | UNINA-9910644053703321 |
|
Hogg Robert V
|
||
| New York, : Wiley, c1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik
| Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik |
| Autore | Hogg Robert V |
| Pubbl/distr/stampa | New York, : Wiley, c1984 |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina |
368
368.0101519532 368.015 |
| Altri autori (Persone) | KlugmanStuart A. <1949-> |
| Collana | Wiley series in probability and mathematical statistics |
| Soggetto topico |
Insurance - Mathematical models
Insurance - Statistical methods |
| ISBN |
1-282-30796-7
9786612307966 0-470-31663-2 0-470-31730-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
LOSS DISTRIBUTIONS; Contents; 1. Introduction; 1.1. Basic Terminology; 1.2. Coverage Limitations; 1.3. Evaluation of Coverage Limitations; 1.4. Data Collection and Modeling; 2. Models for Random Variables; 2.1. Models; 2.2. The Poisson Process and Related Models; 2.3. Models for Joint Random Variables; 2.4. Normal Models; 2.5. Linear Functions of Random Variables; 2.6. Functions of Random Variables; 2.7. The Mixture of Models; 3. Statistical Inference; 3.1. Model-Free Estimation of Distributions; 3.2. Estimating Distributions by Simulation; 3.3. Point Estimation; 3.4. Interval Estimation
3.5. Tests of Statistical Hypotheses3.6. Testing the Fit of Models; 3.7. Applications and Associated Algorithms; 4. Modeling Loss Distributions; 4.1. Introduction; 4.2. Ungrouped Data, Truncation from Below; 4.3. Grouped Data, Mixture of Models; 4.4. Truncated and Shifted Data, Mixture of Models; 4.5. Clustering, Truncation from Above, Combining Samples; 4.6. A Bivariate Model; 4.7. A Review of the Modeling Process; 5. Applications of Distributional Models; 5.1. Introduction; 5.2. Inflation, Percentile Estimation; 5.3. Deductibles, Leveraging 5.4. Other Deductibles, Comparisons of Distributions5.5. Limits, Comparisons of Distributions; 5.6. Limits, Layers, Allocated Loss Adjustment Expenses; References; Appendix Characteristics of Selected Distributions; Index |
| Record Nr. | UNINA-9910830084103321 |
|
Hogg Robert V
|
||
| New York, : Wiley, c1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik
| Loss distributions [[electronic resource] /] / Robert V. Hogg, Stuart A. Klugman, with the assistance of Charles C. Hewitt and Gary Patrik |
| Autore | Hogg Robert V |
| Pubbl/distr/stampa | New York, : Wiley, c1984 |
| Descrizione fisica | 1 online resource (254 p.) |
| Disciplina |
368
368.0101519532 368.015 |
| Altri autori (Persone) | KlugmanStuart A. <1949-> |
| Collana | Wiley series in probability and mathematical statistics |
| Soggetto topico |
Insurance - Mathematical models
Insurance - Statistical methods |
| ISBN |
1-282-30796-7
9786612307966 0-470-31663-2 0-470-31730-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
LOSS DISTRIBUTIONS; Contents; 1. Introduction; 1.1. Basic Terminology; 1.2. Coverage Limitations; 1.3. Evaluation of Coverage Limitations; 1.4. Data Collection and Modeling; 2. Models for Random Variables; 2.1. Models; 2.2. The Poisson Process and Related Models; 2.3. Models for Joint Random Variables; 2.4. Normal Models; 2.5. Linear Functions of Random Variables; 2.6. Functions of Random Variables; 2.7. The Mixture of Models; 3. Statistical Inference; 3.1. Model-Free Estimation of Distributions; 3.2. Estimating Distributions by Simulation; 3.3. Point Estimation; 3.4. Interval Estimation
3.5. Tests of Statistical Hypotheses3.6. Testing the Fit of Models; 3.7. Applications and Associated Algorithms; 4. Modeling Loss Distributions; 4.1. Introduction; 4.2. Ungrouped Data, Truncation from Below; 4.3. Grouped Data, Mixture of Models; 4.4. Truncated and Shifted Data, Mixture of Models; 4.5. Clustering, Truncation from Above, Combining Samples; 4.6. A Bivariate Model; 4.7. A Review of the Modeling Process; 5. Applications of Distributional Models; 5.1. Introduction; 5.2. Inflation, Percentile Estimation; 5.3. Deductibles, Leveraging 5.4. Other Deductibles, Comparisons of Distributions5.5. Limits, Comparisons of Distributions; 5.6. Limits, Layers, Allocated Loss Adjustment Expenses; References; Appendix Characteristics of Selected Distributions; Index |
| Record Nr. | UNINA-9910841515603321 |
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Hogg Robert V
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| New York, : Wiley, c1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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