Probability, finance and insurance [[electronic resource] ] : proceedings of a workshop at the University of Hong Kong, Hong Kong, 15-17 July 2002 / / editors, Tze Leung Lai, Hailiang Yang, Siu Pang Yung |
Pubbl/distr/stampa | Singapore ; ; River Edge, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (252 p.) |
Disciplina | 332.015192 |
Altri autori (Persone) |
LaiT. L
YangHailiang YungSiu Pang |
Soggetto topico |
Investments - Mathematics
Finance - Mathematical models Insurance - Statistical methods |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-89874-0
9786611898748 981-270-271-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; List of Participants; CONTENTS; Limit theorems for moving averages; 1. Introduction; 2. Strong limit theorems for moving averages; 3. Large deviation approximations for logarithmic window sizes; 4. Window sizes associated with moderate deviation approximations; 5. Maxima and boundary crossing probabilities of asymptotically Gaussian random fields; References; On large deviations for moving average processes; 1. Introduction; 2. Main results; 3. A priori estimation; 4. Proofs of Theorem 2.1 and Theorem 2.2; 5. Proofs of Theorem 2.3 Corollary 2.1
6. Proofs of Propositions 2.1 2.2 and Theorem 2.47. Appendix: proof of Lemma 3.3; References; Recent progress on self-normalized limit theorems; 1. Introduction; 2. Self-normalized saddlepoint approximations; 3. Limit distributions of self-normalized sums; 4. Weak invariance principle for self-normalized partial sum processes; 5. Darling-Erdos theorems for self-normalized sums; 6. Large and moderate deviations for self-normalized empirical processes; 7. Cramer type large deviations for independent random variables; 8. Exponential inequalities for self-normalized processes; References Limit theorems for independent self-normalized sums1. Introduction; 2. Asymptotic Normality; 3. Uniform Berry-Esseen Bounds; 4. Non-Uniform Berry-Esseen Bounds; 5. Exponential Non-Uniform Berry-Esseen Bounds; 6. Edgeworth Expansions; 7. Moderate Deviations; 8. Large Deviations; 9. Saddlepoint Approximations; 10. LIL for Partial Sums; 11. LIL for Increments of Partial Sums; 12. Summary; References; Phase changes in random recursive structures and algorithms; 1. Phase changes related to the Poisson distribution; 2. Phase changes related to Quicksort; 3. Conclusions; References Iterated random function system: convergence theorems1. Introduction; 2. Stochastic stability and ergodic theorem; 3. Central limit theorem and quick convergence: Poisson equation approach; References; Asymptotic properties of adaptive designs via strong approximations; 1. Introduction; 2. Play-the-Winner rule and Markov chain adaptive designs; 3. Randomized play-the-Winner rule and generalized Polya urn; 4. Doubly adaptive biased coin designs; 5. The drop-the-loss rule; 6. The minimum asymptotic variance; References; Johnson-Mehl tessellations: asymptotics and inferences; 1. Introduction 2. Asymptotics3. Statistics; References; Rapid simulation of correlated defaults and the valuation of basket default swaps; 1. Introduction; 2. Hazard rate model and calibration; 3. Pricing basket default swaps; 4. Conclusion; Appendix A. Explicit solution of the jump CIR generating function; Appendix B. Copula Functions; References; Optimal consumption and portfolio in a market where the volatility is driven by fractional Brownian motion; 1. Introduction; 2. General Results; 3. Some Particular Utility Functions; 4. Conclusion; References MLE for change-point in ARMA-GARCH models with a changing drift |
Record Nr. | UNINA-9910454307403321 |
Singapore ; ; River Edge, : World Scientific, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Probability, finance and insurance [[electronic resource] ] : proceedings of a workshop at the University of Hong Kong, Hong Kong, 15-17 July 2002 / / editors, Tze Leung Lai, Hailiang Yang, Siu Pang Yung |
Pubbl/distr/stampa | Singapore ; ; River Edge, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (252 p.) |
Disciplina | 332.015192 |
Altri autori (Persone) |
LaiT. L
YangHailiang YungSiu Pang |
Soggetto topico |
Investments - Mathematics
Finance - Mathematical models Insurance - Statistical methods |
ISBN |
1-281-89874-0
9786611898748 981-270-271-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; List of Participants; CONTENTS; Limit theorems for moving averages; 1. Introduction; 2. Strong limit theorems for moving averages; 3. Large deviation approximations for logarithmic window sizes; 4. Window sizes associated with moderate deviation approximations; 5. Maxima and boundary crossing probabilities of asymptotically Gaussian random fields; References; On large deviations for moving average processes; 1. Introduction; 2. Main results; 3. A priori estimation; 4. Proofs of Theorem 2.1 and Theorem 2.2; 5. Proofs of Theorem 2.3 Corollary 2.1
6. Proofs of Propositions 2.1 2.2 and Theorem 2.47. Appendix: proof of Lemma 3.3; References; Recent progress on self-normalized limit theorems; 1. Introduction; 2. Self-normalized saddlepoint approximations; 3. Limit distributions of self-normalized sums; 4. Weak invariance principle for self-normalized partial sum processes; 5. Darling-Erdos theorems for self-normalized sums; 6. Large and moderate deviations for self-normalized empirical processes; 7. Cramer type large deviations for independent random variables; 8. Exponential inequalities for self-normalized processes; References Limit theorems for independent self-normalized sums1. Introduction; 2. Asymptotic Normality; 3. Uniform Berry-Esseen Bounds; 4. Non-Uniform Berry-Esseen Bounds; 5. Exponential Non-Uniform Berry-Esseen Bounds; 6. Edgeworth Expansions; 7. Moderate Deviations; 8. Large Deviations; 9. Saddlepoint Approximations; 10. LIL for Partial Sums; 11. LIL for Increments of Partial Sums; 12. Summary; References; Phase changes in random recursive structures and algorithms; 1. Phase changes related to the Poisson distribution; 2. Phase changes related to Quicksort; 3. Conclusions; References Iterated random function system: convergence theorems1. Introduction; 2. Stochastic stability and ergodic theorem; 3. Central limit theorem and quick convergence: Poisson equation approach; References; Asymptotic properties of adaptive designs via strong approximations; 1. Introduction; 2. Play-the-Winner rule and Markov chain adaptive designs; 3. Randomized play-the-Winner rule and generalized Polya urn; 4. Doubly adaptive biased coin designs; 5. The drop-the-loss rule; 6. The minimum asymptotic variance; References; Johnson-Mehl tessellations: asymptotics and inferences; 1. Introduction 2. Asymptotics3. Statistics; References; Rapid simulation of correlated defaults and the valuation of basket default swaps; 1. Introduction; 2. Hazard rate model and calibration; 3. Pricing basket default swaps; 4. Conclusion; Appendix A. Explicit solution of the jump CIR generating function; Appendix B. Copula Functions; References; Optimal consumption and portfolio in a market where the volatility is driven by fractional Brownian motion; 1. Introduction; 2. General Results; 3. Some Particular Utility Functions; 4. Conclusion; References MLE for change-point in ARMA-GARCH models with a changing drift |
Record Nr. | UNINA-9910782120603321 |
Singapore ; ; River Edge, : World Scientific, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Probability, finance and insurance : proceedings of a workshop at the University of Hong Kong, Hong Kong, 15-17 July 2002 / / editors, Tze Leung Lai, Hailiang Yang, Siu Pang Yung |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Singapore ; ; River Edge, : World Scientific, c2004 |
Descrizione fisica | 1 online resource (252 p.) |
Disciplina | 332.015192 |
Altri autori (Persone) |
LaiT. L
YangHailiang YungSiu Pang |
Soggetto topico |
Investments - Mathematics
Finance - Mathematical models Insurance - Statistical methods |
ISBN |
1-281-89874-0
9786611898748 981-270-271-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; List of Participants; CONTENTS; Limit theorems for moving averages; 1. Introduction; 2. Strong limit theorems for moving averages; 3. Large deviation approximations for logarithmic window sizes; 4. Window sizes associated with moderate deviation approximations; 5. Maxima and boundary crossing probabilities of asymptotically Gaussian random fields; References; On large deviations for moving average processes; 1. Introduction; 2. Main results; 3. A priori estimation; 4. Proofs of Theorem 2.1 and Theorem 2.2; 5. Proofs of Theorem 2.3 Corollary 2.1
6. Proofs of Propositions 2.1 2.2 and Theorem 2.47. Appendix: proof of Lemma 3.3; References; Recent progress on self-normalized limit theorems; 1. Introduction; 2. Self-normalized saddlepoint approximations; 3. Limit distributions of self-normalized sums; 4. Weak invariance principle for self-normalized partial sum processes; 5. Darling-Erdos theorems for self-normalized sums; 6. Large and moderate deviations for self-normalized empirical processes; 7. Cramer type large deviations for independent random variables; 8. Exponential inequalities for self-normalized processes; References Limit theorems for independent self-normalized sums1. Introduction; 2. Asymptotic Normality; 3. Uniform Berry-Esseen Bounds; 4. Non-Uniform Berry-Esseen Bounds; 5. Exponential Non-Uniform Berry-Esseen Bounds; 6. Edgeworth Expansions; 7. Moderate Deviations; 8. Large Deviations; 9. Saddlepoint Approximations; 10. LIL for Partial Sums; 11. LIL for Increments of Partial Sums; 12. Summary; References; Phase changes in random recursive structures and algorithms; 1. Phase changes related to the Poisson distribution; 2. Phase changes related to Quicksort; 3. Conclusions; References Iterated random function system: convergence theorems1. Introduction; 2. Stochastic stability and ergodic theorem; 3. Central limit theorem and quick convergence: Poisson equation approach; References; Asymptotic properties of adaptive designs via strong approximations; 1. Introduction; 2. Play-the-Winner rule and Markov chain adaptive designs; 3. Randomized play-the-Winner rule and generalized Polya urn; 4. Doubly adaptive biased coin designs; 5. The drop-the-loss rule; 6. The minimum asymptotic variance; References; Johnson-Mehl tessellations: asymptotics and inferences; 1. Introduction 2. Asymptotics3. Statistics; References; Rapid simulation of correlated defaults and the valuation of basket default swaps; 1. Introduction; 2. Hazard rate model and calibration; 3. Pricing basket default swaps; 4. Conclusion; Appendix A. Explicit solution of the jump CIR generating function; Appendix B. Copula Functions; References; Optimal consumption and portfolio in a market where the volatility is driven by fractional Brownian motion; 1. Introduction; 2. General Results; 3. Some Particular Utility Functions; 4. Conclusion; References MLE for change-point in ARMA-GARCH models with a changing drift |
Record Nr. | UNINA-9910809705503321 |
Singapore ; ; River Edge, : World Scientific, c2004 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|