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Fundamentals of Risk and Insurance, 11th Edition presents a thorough and comprehensive introduction to the field of insurance while emphasizing the consumer. It summarizes the nature of pure risk on the individual and on society, and illustrates the way in which insurance can be used to deal with the problems posed by such risk.
The 11th edition first examines the concept of risk, the nature of the insurance device, and the principles of risk management. It then discusses the traditional fields of life and health insurance as solutions to the risks connected with the loss of income. The…mehr
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Fundamentals of Risk and Insurance, 11th Edition presents a thorough and comprehensive introduction to the field of insurance while emphasizing the consumer. It summarizes the nature of pure risk on the individual and on society, and illustrates the way in which insurance can be used to deal with the problems posed by such risk.
The 11th edition first examines the concept of risk, the nature of the insurance device, and the principles of risk management. It then discusses the traditional fields of life and health insurance as solutions to the risks connected with the loss of income. The final section deals with the risks associated with the ownership of property and legal liability.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
The 11th edition first examines the concept of risk, the nature of the insurance device, and the principles of risk management. It then discusses the traditional fields of life and health insurance as solutions to the risks connected with the loss of income. The final section deals with the risks associated with the ownership of property and legal liability.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Wiley & Sons
- 11. Aufl.
- Seitenzahl: 686
- Erscheinungstermin: 18. November 2013
- Englisch
- Abmessung: 254mm x 205mm x 40mm
- Gewicht: 1404g
- ISBN-13: 9781118534007
- ISBN-10: 111853400X
- Artikelnr.: 37720789
- Verlag: Wiley & Sons
- 11. Aufl.
- Seitenzahl: 686
- Erscheinungstermin: 18. November 2013
- Englisch
- Abmessung: 254mm x 205mm x 40mm
- Gewicht: 1404g
- ISBN-13: 9781118534007
- ISBN-10: 111853400X
- Artikelnr.: 37720789
Therese M. Vaughan is the Robb B. Kelley Distinguished Professor of Insurance and Actuarial Science at Drake University. Prior to joining Drake, she served as Iowa Insurance Commissioner for over 10 years and as President of the National Association of Insurance Commissioners.
Chapter 1: The Problem of Risk Chapter 2: Introduction to Risk Management
Chapter 3: The Insurance Device Chapter 4: Risk Management Applications
Chapter 5: The Private Insurance Industry Chapter 6: Regulation of the
Insurance Industry Chapter 7: Functions of Insurers Chapter 8: Financial
Aspects of Insurer Operations Chapter 9: The Legal Framework Chapter 10:
Managing Personal Risks Chapter 11: Social Insurance Programs Chapter 12:
Introduction to Life Insurance Chapter 13: The Actuarial Basis of Life
Insurance Chapter 14: The Life Insurance Contract--General Provisions
Chapter 15: The Life Insurance Contract--Other Provisions Chapter 16:
Special Life Insurance Forms Chapter 17: Buying Life Insurance Chapter 18:
Annuities and Pension Benefits Chapter 19: Managing the Retirement Risk
Chapter 20: Health Insurance: Disability Income Insurance Chapter 21:
Health Insurance: Coverage for Medical Expenses Chapter 22: Health
Insurance for the Elderly Chapter 23: Employee Benefits and Other Business
Uses of Life and Health Insurance Chapter 24: The Homeowners
Policy--General Provisions Chapter 25: The Homeowners Policy Forms Chapter
26: Other Personal Forms of Property Insurance Chapter 27: Negligence and
Legal Liability Chapter 28: General Liability Insurance for the Individual
Chapter 29: The Automobile and its Legal Environment Chapter 30: The
Personal Auto Policy Chapter 31: Commercial Property Insurance Chapter 32:
Commercial Liability Insurance Chapter 33: Surety Bonds and Trade Credit
Insurance Chapter 34: Insurance in the Future 11185345063ENPreface xi
Summary xiii 1 Introduction 1 1.1 Motivation and background 1 1.2 A brief
history of mathematical epidemiology 2 1.3 Organization of the book 5
References 6 2 Various epidemic models on complex networks 10 2.1 Multiple
stage models 10 2.2 Staged progression models 13 2.3 Stochastic SIS model
17 2.4 Models with population mobility 19 2.5 Models in meta-populations 22
2.6 Models with effective contacts 24 2.7 Models with two distinct routes
26 2.8 Models with competing strains 28 2.9 Models with competing strains
and saturated infectivity 31 2.10 Models with birth and death of nodes and
links 33 2.11 Models on weighted networks 34 2.12 Models on directed
networks 38 2.13 Models on colored networks 40 2.14 Discrete epidemic
models 44 References 47 3 Epidemic threshold analysis 53 3.1 Threshold
analysis by the direct method 53 3.2 Epidemic spreading efficiency
threshold and epidemic threshold 69 3.3 Epidemic thresholds and basic
reproduction numbers 76 References 98 4 Networked models for SARS and avian
influenza 101 4.1 Network models of real diseases 101 4.2 Plausible models
for propagation of the SARS virus 102 4.3 Clustering model for SARS
transmission: Application to epidemic control and risk assessment 108 4.4
Small-world and scale-free models for SARS transmission 114 4.5
Super-spreaders and the rate of transmission 118 4.6 Scale-free
distribution of avian influenza outbreaks 124 4.7 Stratified model of
ordinary influenza 130 References 136 5 Infectivity functions 139 5.1 A
model with nontrivial infectivity function 140 5.2 Saturated infectivity
143 5.3 Nonlinear infectivity for SIS model on scale-free networks 143
References 148 6 SIS models with an infective medium 150 6.1 SIS model with
an infective medium 150 6.2 A modified SIS model with an infective medium
159 6.3 Epidemic models with vectors between two separated networks 162 6.4
Epidemic transmission on interdependent networks 167 6.4.1 Theoretical
modeling 168 6.5 Discussions and remarks 179 References 181 7 Epidemic
control and awareness 184 7.1 SIS model with awareness 184 7.2
Discrete-time SIS model with awareness 192 7.3 Spreading dynamics of a
disease-awareness SIS model on complex networks 198 7.4 Remarks and
discussions 201 References 203 8 Adaptive mechanism between dynamics and
epidemics 207 8.1 Adaptive mechanism between dynamical synchronization and
epidemic behavior on complex networks 207 8.2 Interplay between collective
behavior and spreading dynamics 216 References 228 9 Epidemic control and
immunization 231 9.1 SIS model with immunization 231 9.2 Edge targeted
strategy for controlling epidemic spreading on scale-free networks 235 9.3
Remarks and discussions 237 References 239 10 Global stability analysis 240
10.1 Global stability analysis of the modified model with an infective
medium 240 10.2 Global dynamics of the model with vectors between two
separated networks 241 10.3 Global behavior of disease transmission on
interdependent networks 247 10.4 Global behavior of epidemic transmissions
250 10.5 Global attractivity of a network-based epidemic SIS model 260 10.6
Global stability of an epidemic model with birth and death and adaptive
weights 264 10.7 Global dynamics of a generalized epidemic model 268
References 274 11 Information diffusion and pathogen propagation 277 11.1
Information diffusion and propagation on complex networks 277 11.2
Interplay between information of disease spreading and epidemic dynamics
281 11.3 Discussions and remarks 284 References 286 Appendix A Proofs of
theorems 289 A.1 Transition from discrete-time linear system to
continuous-time linear system 289 A.2 Proof of Lemma 6.1 291 A.3 Proof of
Theorem 10.4 291 A.4 Proof of Theorem 10.3 292 A.5 Proof of Theorem 10.42
296 Appendix B Further proofs of results 302 B.1 Eigenvalues of the matrix
? F in (6.27) 302 B.2 The matrix Gamma in (6.32) 304 B.3 Proof of (7.6) in
Chapter 7 305 B.4 The positiveness of sigma': proof of sigma' > 0 in
Section 9.1.2 306 B.5 The relation between Lambda and Kappa in Section
9.1.3 308 Index 311
Chapter 3: The Insurance Device Chapter 4: Risk Management Applications
Chapter 5: The Private Insurance Industry Chapter 6: Regulation of the
Insurance Industry Chapter 7: Functions of Insurers Chapter 8: Financial
Aspects of Insurer Operations Chapter 9: The Legal Framework Chapter 10:
Managing Personal Risks Chapter 11: Social Insurance Programs Chapter 12:
Introduction to Life Insurance Chapter 13: The Actuarial Basis of Life
Insurance Chapter 14: The Life Insurance Contract--General Provisions
Chapter 15: The Life Insurance Contract--Other Provisions Chapter 16:
Special Life Insurance Forms Chapter 17: Buying Life Insurance Chapter 18:
Annuities and Pension Benefits Chapter 19: Managing the Retirement Risk
Chapter 20: Health Insurance: Disability Income Insurance Chapter 21:
Health Insurance: Coverage for Medical Expenses Chapter 22: Health
Insurance for the Elderly Chapter 23: Employee Benefits and Other Business
Uses of Life and Health Insurance Chapter 24: The Homeowners
Policy--General Provisions Chapter 25: The Homeowners Policy Forms Chapter
26: Other Personal Forms of Property Insurance Chapter 27: Negligence and
Legal Liability Chapter 28: General Liability Insurance for the Individual
Chapter 29: The Automobile and its Legal Environment Chapter 30: The
Personal Auto Policy Chapter 31: Commercial Property Insurance Chapter 32:
Commercial Liability Insurance Chapter 33: Surety Bonds and Trade Credit
Insurance Chapter 34: Insurance in the Future 11185345063ENPreface xi
Summary xiii 1 Introduction 1 1.1 Motivation and background 1 1.2 A brief
history of mathematical epidemiology 2 1.3 Organization of the book 5
References 6 2 Various epidemic models on complex networks 10 2.1 Multiple
stage models 10 2.2 Staged progression models 13 2.3 Stochastic SIS model
17 2.4 Models with population mobility 19 2.5 Models in meta-populations 22
2.6 Models with effective contacts 24 2.7 Models with two distinct routes
26 2.8 Models with competing strains 28 2.9 Models with competing strains
and saturated infectivity 31 2.10 Models with birth and death of nodes and
links 33 2.11 Models on weighted networks 34 2.12 Models on directed
networks 38 2.13 Models on colored networks 40 2.14 Discrete epidemic
models 44 References 47 3 Epidemic threshold analysis 53 3.1 Threshold
analysis by the direct method 53 3.2 Epidemic spreading efficiency
threshold and epidemic threshold 69 3.3 Epidemic thresholds and basic
reproduction numbers 76 References 98 4 Networked models for SARS and avian
influenza 101 4.1 Network models of real diseases 101 4.2 Plausible models
for propagation of the SARS virus 102 4.3 Clustering model for SARS
transmission: Application to epidemic control and risk assessment 108 4.4
Small-world and scale-free models for SARS transmission 114 4.5
Super-spreaders and the rate of transmission 118 4.6 Scale-free
distribution of avian influenza outbreaks 124 4.7 Stratified model of
ordinary influenza 130 References 136 5 Infectivity functions 139 5.1 A
model with nontrivial infectivity function 140 5.2 Saturated infectivity
143 5.3 Nonlinear infectivity for SIS model on scale-free networks 143
References 148 6 SIS models with an infective medium 150 6.1 SIS model with
an infective medium 150 6.2 A modified SIS model with an infective medium
159 6.3 Epidemic models with vectors between two separated networks 162 6.4
Epidemic transmission on interdependent networks 167 6.4.1 Theoretical
modeling 168 6.5 Discussions and remarks 179 References 181 7 Epidemic
control and awareness 184 7.1 SIS model with awareness 184 7.2
Discrete-time SIS model with awareness 192 7.3 Spreading dynamics of a
disease-awareness SIS model on complex networks 198 7.4 Remarks and
discussions 201 References 203 8 Adaptive mechanism between dynamics and
epidemics 207 8.1 Adaptive mechanism between dynamical synchronization and
epidemic behavior on complex networks 207 8.2 Interplay between collective
behavior and spreading dynamics 216 References 228 9 Epidemic control and
immunization 231 9.1 SIS model with immunization 231 9.2 Edge targeted
strategy for controlling epidemic spreading on scale-free networks 235 9.3
Remarks and discussions 237 References 239 10 Global stability analysis 240
10.1 Global stability analysis of the modified model with an infective
medium 240 10.2 Global dynamics of the model with vectors between two
separated networks 241 10.3 Global behavior of disease transmission on
interdependent networks 247 10.4 Global behavior of epidemic transmissions
250 10.5 Global attractivity of a network-based epidemic SIS model 260 10.6
Global stability of an epidemic model with birth and death and adaptive
weights 264 10.7 Global dynamics of a generalized epidemic model 268
References 274 11 Information diffusion and pathogen propagation 277 11.1
Information diffusion and propagation on complex networks 277 11.2
Interplay between information of disease spreading and epidemic dynamics
281 11.3 Discussions and remarks 284 References 286 Appendix A Proofs of
theorems 289 A.1 Transition from discrete-time linear system to
continuous-time linear system 289 A.2 Proof of Lemma 6.1 291 A.3 Proof of
Theorem 10.4 291 A.4 Proof of Theorem 10.3 292 A.5 Proof of Theorem 10.42
296 Appendix B Further proofs of results 302 B.1 Eigenvalues of the matrix
? F in (6.27) 302 B.2 The matrix Gamma in (6.32) 304 B.3 Proof of (7.6) in
Chapter 7 305 B.4 The positiveness of sigma': proof of sigma' > 0 in
Section 9.1.2 306 B.5 The relation between Lambda and Kappa in Section
9.1.3 308 Index 311
Chapter 1: The Problem of Risk Chapter 2: Introduction to Risk Management
Chapter 3: The Insurance Device Chapter 4: Risk Management Applications
Chapter 5: The Private Insurance Industry Chapter 6: Regulation of the
Insurance Industry Chapter 7: Functions of Insurers Chapter 8: Financial
Aspects of Insurer Operations Chapter 9: The Legal Framework Chapter 10:
Managing Personal Risks Chapter 11: Social Insurance Programs Chapter 12:
Introduction to Life Insurance Chapter 13: The Actuarial Basis of Life
Insurance Chapter 14: The Life Insurance Contract--General Provisions
Chapter 15: The Life Insurance Contract--Other Provisions Chapter 16:
Special Life Insurance Forms Chapter 17: Buying Life Insurance Chapter 18:
Annuities and Pension Benefits Chapter 19: Managing the Retirement Risk
Chapter 20: Health Insurance: Disability Income Insurance Chapter 21:
Health Insurance: Coverage for Medical Expenses Chapter 22: Health
Insurance for the Elderly Chapter 23: Employee Benefits and Other Business
Uses of Life and Health Insurance Chapter 24: The Homeowners
Policy--General Provisions Chapter 25: The Homeowners Policy Forms Chapter
26: Other Personal Forms of Property Insurance Chapter 27: Negligence and
Legal Liability Chapter 28: General Liability Insurance for the Individual
Chapter 29: The Automobile and its Legal Environment Chapter 30: The
Personal Auto Policy Chapter 31: Commercial Property Insurance Chapter 32:
Commercial Liability Insurance Chapter 33: Surety Bonds and Trade Credit
Insurance Chapter 34: Insurance in the Future 11185345063ENPreface xi
Summary xiii 1 Introduction 1 1.1 Motivation and background 1 1.2 A brief
history of mathematical epidemiology 2 1.3 Organization of the book 5
References 6 2 Various epidemic models on complex networks 10 2.1 Multiple
stage models 10 2.2 Staged progression models 13 2.3 Stochastic SIS model
17 2.4 Models with population mobility 19 2.5 Models in meta-populations 22
2.6 Models with effective contacts 24 2.7 Models with two distinct routes
26 2.8 Models with competing strains 28 2.9 Models with competing strains
and saturated infectivity 31 2.10 Models with birth and death of nodes and
links 33 2.11 Models on weighted networks 34 2.12 Models on directed
networks 38 2.13 Models on colored networks 40 2.14 Discrete epidemic
models 44 References 47 3 Epidemic threshold analysis 53 3.1 Threshold
analysis by the direct method 53 3.2 Epidemic spreading efficiency
threshold and epidemic threshold 69 3.3 Epidemic thresholds and basic
reproduction numbers 76 References 98 4 Networked models for SARS and avian
influenza 101 4.1 Network models of real diseases 101 4.2 Plausible models
for propagation of the SARS virus 102 4.3 Clustering model for SARS
transmission: Application to epidemic control and risk assessment 108 4.4
Small-world and scale-free models for SARS transmission 114 4.5
Super-spreaders and the rate of transmission 118 4.6 Scale-free
distribution of avian influenza outbreaks 124 4.7 Stratified model of
ordinary influenza 130 References 136 5 Infectivity functions 139 5.1 A
model with nontrivial infectivity function 140 5.2 Saturated infectivity
143 5.3 Nonlinear infectivity for SIS model on scale-free networks 143
References 148 6 SIS models with an infective medium 150 6.1 SIS model with
an infective medium 150 6.2 A modified SIS model with an infective medium
159 6.3 Epidemic models with vectors between two separated networks 162 6.4
Epidemic transmission on interdependent networks 167 6.4.1 Theoretical
modeling 168 6.5 Discussions and remarks 179 References 181 7 Epidemic
control and awareness 184 7.1 SIS model with awareness 184 7.2
Discrete-time SIS model with awareness 192 7.3 Spreading dynamics of a
disease-awareness SIS model on complex networks 198 7.4 Remarks and
discussions 201 References 203 8 Adaptive mechanism between dynamics and
epidemics 207 8.1 Adaptive mechanism between dynamical synchronization and
epidemic behavior on complex networks 207 8.2 Interplay between collective
behavior and spreading dynamics 216 References 228 9 Epidemic control and
immunization 231 9.1 SIS model with immunization 231 9.2 Edge targeted
strategy for controlling epidemic spreading on scale-free networks 235 9.3
Remarks and discussions 237 References 239 10 Global stability analysis 240
10.1 Global stability analysis of the modified model with an infective
medium 240 10.2 Global dynamics of the model with vectors between two
separated networks 241 10.3 Global behavior of disease transmission on
interdependent networks 247 10.4 Global behavior of epidemic transmissions
250 10.5 Global attractivity of a network-based epidemic SIS model 260 10.6
Global stability of an epidemic model with birth and death and adaptive
weights 264 10.7 Global dynamics of a generalized epidemic model 268
References 274 11 Information diffusion and pathogen propagation 277 11.1
Information diffusion and propagation on complex networks 277 11.2
Interplay between information of disease spreading and epidemic dynamics
281 11.3 Discussions and remarks 284 References 286 Appendix A Proofs of
theorems 289 A.1 Transition from discrete-time linear system to
continuous-time linear system 289 A.2 Proof of Lemma 6.1 291 A.3 Proof of
Theorem 10.4 291 A.4 Proof of Theorem 10.3 292 A.5 Proof of Theorem 10.42
296 Appendix B Further proofs of results 302 B.1 Eigenvalues of the matrix
? F in (6.27) 302 B.2 The matrix Gamma in (6.32) 304 B.3 Proof of (7.6) in
Chapter 7 305 B.4 The positiveness of sigma': proof of sigma' > 0 in
Section 9.1.2 306 B.5 The relation between Lambda and Kappa in Section
9.1.3 308 Index 311
Chapter 3: The Insurance Device Chapter 4: Risk Management Applications
Chapter 5: The Private Insurance Industry Chapter 6: Regulation of the
Insurance Industry Chapter 7: Functions of Insurers Chapter 8: Financial
Aspects of Insurer Operations Chapter 9: The Legal Framework Chapter 10:
Managing Personal Risks Chapter 11: Social Insurance Programs Chapter 12:
Introduction to Life Insurance Chapter 13: The Actuarial Basis of Life
Insurance Chapter 14: The Life Insurance Contract--General Provisions
Chapter 15: The Life Insurance Contract--Other Provisions Chapter 16:
Special Life Insurance Forms Chapter 17: Buying Life Insurance Chapter 18:
Annuities and Pension Benefits Chapter 19: Managing the Retirement Risk
Chapter 20: Health Insurance: Disability Income Insurance Chapter 21:
Health Insurance: Coverage for Medical Expenses Chapter 22: Health
Insurance for the Elderly Chapter 23: Employee Benefits and Other Business
Uses of Life and Health Insurance Chapter 24: The Homeowners
Policy--General Provisions Chapter 25: The Homeowners Policy Forms Chapter
26: Other Personal Forms of Property Insurance Chapter 27: Negligence and
Legal Liability Chapter 28: General Liability Insurance for the Individual
Chapter 29: The Automobile and its Legal Environment Chapter 30: The
Personal Auto Policy Chapter 31: Commercial Property Insurance Chapter 32:
Commercial Liability Insurance Chapter 33: Surety Bonds and Trade Credit
Insurance Chapter 34: Insurance in the Future 11185345063ENPreface xi
Summary xiii 1 Introduction 1 1.1 Motivation and background 1 1.2 A brief
history of mathematical epidemiology 2 1.3 Organization of the book 5
References 6 2 Various epidemic models on complex networks 10 2.1 Multiple
stage models 10 2.2 Staged progression models 13 2.3 Stochastic SIS model
17 2.4 Models with population mobility 19 2.5 Models in meta-populations 22
2.6 Models with effective contacts 24 2.7 Models with two distinct routes
26 2.8 Models with competing strains 28 2.9 Models with competing strains
and saturated infectivity 31 2.10 Models with birth and death of nodes and
links 33 2.11 Models on weighted networks 34 2.12 Models on directed
networks 38 2.13 Models on colored networks 40 2.14 Discrete epidemic
models 44 References 47 3 Epidemic threshold analysis 53 3.1 Threshold
analysis by the direct method 53 3.2 Epidemic spreading efficiency
threshold and epidemic threshold 69 3.3 Epidemic thresholds and basic
reproduction numbers 76 References 98 4 Networked models for SARS and avian
influenza 101 4.1 Network models of real diseases 101 4.2 Plausible models
for propagation of the SARS virus 102 4.3 Clustering model for SARS
transmission: Application to epidemic control and risk assessment 108 4.4
Small-world and scale-free models for SARS transmission 114 4.5
Super-spreaders and the rate of transmission 118 4.6 Scale-free
distribution of avian influenza outbreaks 124 4.7 Stratified model of
ordinary influenza 130 References 136 5 Infectivity functions 139 5.1 A
model with nontrivial infectivity function 140 5.2 Saturated infectivity
143 5.3 Nonlinear infectivity for SIS model on scale-free networks 143
References 148 6 SIS models with an infective medium 150 6.1 SIS model with
an infective medium 150 6.2 A modified SIS model with an infective medium
159 6.3 Epidemic models with vectors between two separated networks 162 6.4
Epidemic transmission on interdependent networks 167 6.4.1 Theoretical
modeling 168 6.5 Discussions and remarks 179 References 181 7 Epidemic
control and awareness 184 7.1 SIS model with awareness 184 7.2
Discrete-time SIS model with awareness 192 7.3 Spreading dynamics of a
disease-awareness SIS model on complex networks 198 7.4 Remarks and
discussions 201 References 203 8 Adaptive mechanism between dynamics and
epidemics 207 8.1 Adaptive mechanism between dynamical synchronization and
epidemic behavior on complex networks 207 8.2 Interplay between collective
behavior and spreading dynamics 216 References 228 9 Epidemic control and
immunization 231 9.1 SIS model with immunization 231 9.2 Edge targeted
strategy for controlling epidemic spreading on scale-free networks 235 9.3
Remarks and discussions 237 References 239 10 Global stability analysis 240
10.1 Global stability analysis of the modified model with an infective
medium 240 10.2 Global dynamics of the model with vectors between two
separated networks 241 10.3 Global behavior of disease transmission on
interdependent networks 247 10.4 Global behavior of epidemic transmissions
250 10.5 Global attractivity of a network-based epidemic SIS model 260 10.6
Global stability of an epidemic model with birth and death and adaptive
weights 264 10.7 Global dynamics of a generalized epidemic model 268
References 274 11 Information diffusion and pathogen propagation 277 11.1
Information diffusion and propagation on complex networks 277 11.2
Interplay between information of disease spreading and epidemic dynamics
281 11.3 Discussions and remarks 284 References 286 Appendix A Proofs of
theorems 289 A.1 Transition from discrete-time linear system to
continuous-time linear system 289 A.2 Proof of Lemma 6.1 291 A.3 Proof of
Theorem 10.4 291 A.4 Proof of Theorem 10.3 292 A.5 Proof of Theorem 10.42
296 Appendix B Further proofs of results 302 B.1 Eigenvalues of the matrix
? F in (6.27) 302 B.2 The matrix Gamma in (6.32) 304 B.3 Proof of (7.6) in
Chapter 7 305 B.4 The positiveness of sigma': proof of sigma' > 0 in
Section 9.1.2 306 B.5 The relation between Lambda and Kappa in Section
9.1.3 308 Index 311