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1. Point Process Theory and Applications : Marked Point and Piecewise Deterministic Processes
by Martin Jacobsen
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Probability and its Applications ;
オンライン: http://dx.doi.org/10.1007/0-8176-4463-6
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2. Stochastic Differential Equations in Infinite Dimensions : with Applications to Stochastic Partial Differential Equations
by Leszek Gawarecki, Vidyadhar Mandrekar
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Probability and Its Applications ;
オンライン: http://dx.doi.org/10.1007/978-3-642-16194-0
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3. PDE and Martingale Methods in Option Pricing
by Andrea Pascucci
出版情報: Milano : Springer Milan, 2011
シリーズ名: Bocconi & Springer Series ;
オンライン: http://dx.doi.org/10.1007/978-88-470-1781-8
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4. Markov Decision Processes with Applications to Finance
by Nicole Bäuerle, Ulrich Rieder
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-3-642-18324-9
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5. Mathematical Models of Financial Derivatives. 2
by Yue-Kuen Kwok ; edited by M. Avellaneda, G. Barone-Adesi, M. Broadie, M. H. A. Davis, E. Derman, C. Klüppelberg, E. Kopp, W. Schachermayer
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008
シリーズ名: Springer Finance ;
オンライン: http://dx.doi.org/10.1007/978-3-540-68688-0
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6. Term-Structure Models : A Graduate Course
by Damir Filipovic
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Springer Finance ;
オンライン: http://dx.doi.org/10.1007/978-3-540-68015-4
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7. An Introduction to Continuous-Time Stochastic Processes : Theory, Models, and Applications to Finance, Biology, and Medicine. 2nd ed. 2012
by Vincenzo Capasso, David Bakstein
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2012
シリーズ名: Modeling and Simulation in Science, Engineering and Technology ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8346-7
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目次情報: 続きを見る
Part I. The Theory of Stochastic Processes
Fundamentals of Probability
Stochastic Processes
The Itô Integral
Stochastic Differential Equations
Part II. The Applications of Stochastic Processes
Applications to Finance and Insurance
Applications to Biology and Medicine
Part III. Appendices
Measure and Integration
Convergence of Probability Measures on Metric Spaces
Elliptic and Parabolic Operators
D Semigroups and Linear Operators.- E Stability of Ordinary Differential Equations
References
Part I. The Theory of Stochastic Processes
Fundamentals of Probability
Stochastic Processes
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8. Analytically Tractable Stochastic Stock Price Models
by Archil Gulisashvili
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Springer Finance ;
オンライン: http://dx.doi.org/10.1007/978-3-642-31214-4
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目次情報: 続きを見る
Preface
Aknowledgements
1.Volatility Processes
2.Stock Price Models with Stochastic Volatility
3.Realized Volatility and Mixing Distributions
4.Integral Transforms of Distribution Densities
5.Asymptotic Analysis of Mixing Distributions
6.Asymptotic Analysis of Stock Price Distributions
7.Regularly Varying Functions and Pareto Type Distributions
8.Asymptotic Analysis of Option Pricing Functions
9.Asymptotic Analysis of Implied Volatility
10.More Formulas for Implied Volatility
11.Implied Volatility in Models Without Moment Explosions
Bibliography
Index
Preface
Aknowledgements
1.Volatility Processes
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9. Risk Measures and Attitudes
edited by Francesca Biagini, Andreas Richter, Harris Schlesinger
出版情報: London : Springer London : Imprint: Springer, 2013
シリーズ名: EAA Series ;
オンライン: http://dx.doi.org/10.1007/978-1-4471-4926-2
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Weak Closedness of Monotone Sets of Lotteries and Robust Representation of Risk Preferences
Multivariate Concave and Convex Stochastic Dominance
Reliable Quantification and Efficient Estimation of Credit Risk
Diffusion-based models for financial markets without martingale measures
Weak Closedness of Monotone Sets of Lotteries and Robust Representation of Risk Preferences
Multivariate Concave and Convex Stochastic Dominance
Reliable Quantification and Efficient Estimation of Credit Risk
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10. Malliavin Calculus and Stochastic Analysis : A Festschrift in Honor of David Nualart
edited by Frederi Viens, Jin Feng, Yaozhong Hu, Eulalia Nualart
出版情報: Boston, MA : Springer US : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 34
オンライン: http://dx.doi.org/10.1007/978-1-4614-5906-4
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An Application of Gaussian Measures to Functional Analysis
Stochastic Taylor Formulas and Riemannian Geometry
Local invertibility of adapted shifts on Wiener Space and related topics
Dilation vector field on Wiener space
The calculus of differentials for the weak Stratonovich integral
Large deviations for Hilbert space valued Wiener processes: a sequence space approach
Stationary distributions for jump processes with inert drift
An Ornstein-Uhlenbeck type process which satisfies sufficient conditions for a simulation based filtering procedure
Escape probability for stochastic dynamical systems with jumps
On Stochastic Navier-Stokes Equation Driven by Stationary White Noise
Intermittency and chaos for a non-linear stochastic wave equation in dimension 1
Generalized stochastic heat equations
Gaussian Upper Density estimates for spatially homogeneous Stochastic PDEs
Stationarity of the solution for the semilinear stochastic integral equation on the whole real line
A strong approximation of sub-fractional Brownian motion by means of transport processes
Malliavin calculus for fractional heat equation
Parameter estimation for alpha-fractional bridges
Gradient bounds for solutions of stochastic differential equations driven by fractional Brownian motion
Parameter estimation for fractional Ornstein-Uhlenbeck processes with discrete observations
The effect of competition on the height and length of the forest of genealogical trees of a large population
Linking progressive and initial filtration expansions
A Malliavin calculus approach to general stochastic differential games with partial information
Asymptotics for the Length of Longest Increasing Subsequences of Binary Markovian Words
A short rate model using ambit processes
Parametric regularity of the conditional expectations via the Malliavin calculus and applications
An Application of Gaussian Measures to Functional Analysis
Stochastic Taylor Formulas and Riemannian Geometry
Local invertibility of adapted shifts on Wiener Space and related topics