Kapitel
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E The Neyman–Pearson lemma
-
Hans Föllmer
und Alexander Schied
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Kapitel in diesem Buch
- Frontmatter I
- Preface to the fifth edition V
- Preface to the fourth edition VII
- Preface to the third edition IX
- Preface to the second edition XI
- Preface to the first edition XIII
- Contents XV
-
Part I Mathematical finance in one period
- 1 Arbitrage theory 3
- 2 Preferences 54
- 3 Optimality and equilibrium 128
- 4 Monetary measures of risk 188
-
Part II Dynamic hedging
- 5 Dynamic arbitrage theory 301
- 6 American contingent claims 363
- 7 Superhedging 397
- 8 Efficient hedging 425
- 9 Hedging under constraints 451
- 10 Minimizing the hedging error 476
- 11 Dynamic risk measures 505
- 12 Long-run performance of rebalanced portfolios 525
- A Convexity 549
- B Absolutely continuous probability measures 557
- C Relative entropy 563
- D Quantile functions and their applications 569
- E The Neyman–Pearson lemma 585
- F The essential supremum of a family of random variables 589
- G Spaces of measures 591
- H Some functional analysis 605
- Bibliographical notes 615
- Bibliography
- List of symbols 633
- Index 635
Kapitel in diesem Buch
- Frontmatter I
- Preface to the fifth edition V
- Preface to the fourth edition VII
- Preface to the third edition IX
- Preface to the second edition XI
- Preface to the first edition XIII
- Contents XV
-
Part I Mathematical finance in one period
- 1 Arbitrage theory 3
- 2 Preferences 54
- 3 Optimality and equilibrium 128
- 4 Monetary measures of risk 188
-
Part II Dynamic hedging
- 5 Dynamic arbitrage theory 301
- 6 American contingent claims 363
- 7 Superhedging 397
- 8 Efficient hedging 425
- 9 Hedging under constraints 451
- 10 Minimizing the hedging error 476
- 11 Dynamic risk measures 505
- 12 Long-run performance of rebalanced portfolios 525
- A Convexity 549
- B Absolutely continuous probability measures 557
- C Relative entropy 563
- D Quantile functions and their applications 569
- E The Neyman–Pearson lemma 585
- F The essential supremum of a family of random variables 589
- G Spaces of measures 591
- H Some functional analysis 605
- Bibliographical notes 615
- Bibliography
- List of symbols 633
- Index 635