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From Stochastic Calculus to Mathematical Finance - The Shiryaev Festschrift

Yu. Kabanov, R. Liptser, J. Stoyanov

 

Verlag Springer-Verlag, 2007

ISBN 9783540307884 , 633 Seiten

Format PDF, OL

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Preface

6

Contents

10

Albert SHIRYAEV

14

Publications of A.N. Shiryaev

20

On Numerical Approximation of Stochastic Burgers’ Equation

37

Optimal Time to Invest under Tax Exemptions

52

A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales

68

Interplay between Distributional and Temporal Dependence. An Empirical Study with High-frequency Asset Returns

104

Asymptotic Methods for Stability Analysis of Markov Dynamical Systems with Fast Variables

126

Some Particular Problems of Martingale Theory

144

On the Absolute Continuity and Singularity of Measures on Filtered Spaces: Separating Times

160

Optimal Hedging with Basis Risk

204

Moderate Deviation Principle for Ergodic Markov Chain. Lipschitz Summands

223

Remarks on Risk Neutral and Risk Sensitive Portfolio Optimization

244

On Existence and Uniqueness of Reflected Solutions of Stochastic Equations Driven by Symmetric Stable Processes

260

A Note on Pricing, Duality and Symmetry for Two-Dimensional Levy Markets

282

Enlargement of Filtration and Additional Information in Pricing Models: Bayesian Approach

290

A Minimax Result for f-Divergences

319

Impulse and Absolutely Continuous Ergodic Control of One-Dimensional Itˆo Diffusions

327

A Consumption–Investment Problem with Production Possibilities

347

Multiparameter Generalizations of the Dalang–Morton–Willinger Theorem

365

A Didactic Note on Affine Stochastic Volatility Models

374

Uniform Optimal Transmission of Gaussian Messages

400

A Note on the Brownian Motion

415

Continuous Time Volatility Modelling: COGARCH versus Ornstein–Uhlenbeck Models

423

Tail Distributions of Supremum and Quadratic Variation of Local Martingales

450

Stochastic Differential Equations: A Wiener Chaos Approach

462

A Martingale Equation of Exponential Type

536

On Local Martingale and its Supremum: Harmonic Functions and beyond.

546

On the Fundamental Solution of the Kolmogorov–Shiryaev Equation

563

Explicit Solution to an Irreversible Investment Model with a Stochastic Production Capacity

575

Gittins Type Index Theorem for Randomly Evolving Graphs

594

On the Existence of Optimal Portfolios for the Utility Maximization Problem in Discrete Time Financial Market Models

616

The Optimal Stopping of a Markov Chain and Recursive Solution of Poisson and Bellman Equations

636

On Lower Bounds for Mixing Coefficients of Markov Diffusions

649