Wishart processes
From MaRDI portal
Publication:1181413
DOI10.1007/BF01259552zbMath0737.60067OpenAlexW4232304958MaRDI QIDQ1181413
Publication date: 27 June 1992
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01259552
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60)
Related Items
Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes ⋮ Gaussian free fields coupled with multiple SLEs driven by stochastic log-gases ⋮ Optimal portfolio allocation with volatility and co-jump risk that Markowitz would like ⋮ A general HJM framework for multiple yield curve modelling ⋮ Risk-sensitive asset management in a Wishart-autoregressive factor model with jumps ⋮ Affine processes on symmetric cones ⋮ The role of the dependence between mortality and interest rates when pricing guaranteed annuity options ⋮ The Wishart autoregressive process of multivariate stochastic volatility ⋮ Two-step asymptotics of scaled Dunkl processes ⋮ Bessel convolutions on matrix cones: Algebraic properties and random walks ⋮ On non-negative modeling with CARMA processes ⋮ Valuation of asset and volatility derivatives using decoupled time-changed Lévy processes ⋮ Is the information obtained from European options on equally weighted baskets enough to determine the prices of exotic derivatives such as worst-of options? ⋮ Commodity derivatives pricing with cointegration and stochastic covariances ⋮ On moment non-explosions for Wishart-based stochastic volatility models ⋮ Maximum likelihood estimation for Wishart processes ⋮ A spectral dominance approach to large random matrices ⋮ On the non-commutative fractional Wishart process ⋮ Universality classes for general random matrix flows ⋮ Functional equations solving initial-value problems of complex Burgers-type equations for one-dimensional log-gases ⋮ The Explicit Laplace Transform for the Wishart Process ⋮ Multi-variate stochastic volatility modelling using Wishart autoregressive processes ⋮ Multivariate COGARCH(1, 1) processes ⋮ A perturbation analysis of stochastic matrix Riccati diffusions ⋮ Geometric ergodicity of affine processes on cones ⋮ Strong solutions to a beta-Wishart particle system ⋮ Explicit solutions to quadratic BSDEs and applications to utility maximization in multivariate affine stochastic volatility models ⋮ Determinantal martingales and noncolliding diffusion processes ⋮ Bayesian non-parametrics and the probabilistic approach to modelling ⋮ A consistent stochastic model of the term structure of interest rates for multiple tenors ⋮ On the Process of the Eigenvalues of a Hermitian Lévy process ⋮ Semi-implicit Euler-Maruyama approximation for noncolliding particle systems ⋮ Option pricing when correlations are stochastic: an analytical framework ⋮ Noncolliding squared Bessel processes ⋮ Asset prices with investor protection and past information ⋮ Estimating the Wishart affine stochastic correlation model using the empirical characteristic function ⋮ On the singular values of complex matrix Brownian motion with a matrix drift ⋮ Exact and high-order discretization schemes for Wishart processes and their affine extensions ⋮ Affine processes on positive semidefinite \(d \times d\) matrices have jumps of finite variation in dimension \(d > 1\) ⋮ Density approximations for multivariate affine jump-diffusion processes ⋮ Transform formulae for linear functionals of affine processes and their bridges on positive semidefinite matrices ⋮ Neutral and indifference pricing with stochastic correlation and volatility ⋮ Central limit theorems for multivariate Bessel processes in the freezing regime ⋮ A multifactor volatility Heston model ⋮ Stochastic volatility and stochastic leverage ⋮ MSE bounds for estimators of matrix functions ⋮ Indirect inference in fractional short-term interest rate diffusions ⋮ Elliptic determinantal process of type A ⋮ On squared Bessel particle systems ⋮ The Laguerre process and generalized Hartman-Watson law ⋮ Picard iterations for diffusions on symmetric matrices ⋮ A characterization of Wishart processes and Wishart distributions ⋮ European option pricing under Wishart processes ⋮ Three-parametric Marcenko-Pastur density ⋮ A matrix Bougerol identity and the Hua-Pickrell measures ⋮ Bond pricing under mixed generalized CIR model with mixed Wishart volatility process ⋮ Short-run risk, business cycle, and the value premium ⋮ Cleaning large correlation matrices: tools from random matrix theory ⋮ Mean-variance portfolio selection with correlation risk ⋮ Fractional Wishart processes and \(\varepsilon\)-fractional Wishart processes with applications ⋮ Towards a characterization of Markov processes enjoying the time-inversion property ⋮ Free Jacobi process ⋮ Affine processes on positive semidefinite matrices ⋮ Moderate deviations and central limit theorem for small perturbation Wishart processes ⋮ Infinitely divisible Wald's couples. Examples linked with the Euler gamma and the Riemann zeta functions. ⋮ Discrete time Wishart term structure models ⋮ Limit theorems for multivariate Bessel processes in the freezing regime ⋮ Analysis of market weights under volatility-stabilized market models ⋮ Orbit measures, random matrix theory and interlaced determinantal processes ⋮ On strong solutions for positive definite jump diffusions ⋮ Some new examples of Markov processes which enjoy the time-inversion property ⋮ On the stability of matrix-valued Riccati diffusions ⋮ Free Wishart processes ⋮ Phase transitions for products of characteristic polynomials under Dyson Brownian motion ⋮ Long-term yield in an affine HJM framework on \(S_{d}^{+}\) ⋮ Analytic pricing of volatility-equity options within Wishart-based stochastic volatility models ⋮ Beta Laguerre processes in a high temperature regime ⋮ Pricing range notes within Wishart affine models ⋮ Calibration and filtering for multi factor commodity models with seasonality: incorporating panel data from futures contracts ⋮ Mean-variance asset-liability management with asset correlation risk and insurance liabilities ⋮ Linearized filtering of affine processes using stochastic Riccati equations ⋮ Markovian lifts of positive semidefinite affine Volterra-type processes ⋮ High-dimensional central limit theorems for a class of particle systems ⋮ On the eigenvalue process of a matrix fractional Brownian motion ⋮ RISK MANAGEMENT UNDER A FACTOR STOCHASTIC VOLATILITY MODEL ⋮ On the application of Wishart process to the pricing of equity derivatives: the multi-asset case ⋮ Recent advances on eigenvalues of matrix-valued stochastic processes ⋮ ON THE HESTON MODEL WITH STOCHASTIC CORRELATION ⋮ The log-asset dynamic with Euler-Maruyama scheme under Wishart processes ⋮ HEDGING (CO)VARIANCE RISK WITH VARIANCE SWAPS ⋮ Gaussian fluctuation for Gaussian Wishart matrices of overall correlation ⋮ Asymptotic behaviour of linear eigenvalue statistics of Hankel matrices ⋮ Matrix Dirichlet processes ⋮ Semi-implicit Milstein approximation scheme for non-colliding particle systems ⋮ Ergodic decomposition for inverse Wishart measures on infinite positive-definite matrices ⋮ High dimensional normality of noisy eigenvectors ⋮ Riding on the smiles ⋮ Leverage and feedback effects on multifactor Wishart stochastic volatility for option pricing ⋮ A closed-form solution for outperformance options with stochastic correlation and stochastic volatility ⋮ Order estimates for the exact Lugannani-Rice expansion ⋮ Long-Term Optimal Investment in Matrix Valued Factor Models ⋮ On a gateway between the Laguerre process and dynamics on partitions ⋮ Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems ⋮ A stochastic volatility factor model of heston type. Statistical properties and estimation ⋮ Geometric ergodicity of the multivariate COGARCH(1,1) process ⋮ QUANTO PRICING IN STOCHASTIC CORRELATION MODELS ⋮ The Laplace transform of the integrated Volterra Wishart process ⋮ Asymptotics of rectangular spherical integrals ⋮ Limit theorems for moment processes of beta Dyson’s Brownian motions and beta Laguerre processes ⋮ Multivariate continuous-time autoregressive moving-average processes on cones ⋮ Dynamic covariance estimation via predictive Wishart process with an application on brain connectivity estimation ⋮ Inference on the maximal rank of time-varying covariance matrices using high-frequency data ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ Exact solution of interacting particle systems related to random matrices ⋮ Time-convergent random matrices from mean-field pinned interacting eigenvalues ⋮ Partial Differential Equation Pricing of Contingent Claims under Stochastic Correlation ⋮ Pricing guaranteed annuity options in a linear-rational Wishart mortality model ⋮ On Poincaré and Logarithmic Sobolev Inequalities for a Class of Singular Gibbs Measures ⋮ Interlacing Diffusions ⋮ Algorithm 963 ⋮ Conformal welding problem, flow line problem, and multiple Schramm–Loewner evolution ⋮ Multidimensional Yamada-Watanabe theorem and its applications to particle systems ⋮ WORST-OF OPTIONS AND CORRELATION SKEW UNDER A STOCHASTIC CORRELATION FRAMEWORK ⋮ Optimal Portfolios for Financial Markets with Wishart Volatility ⋮ THE WISHART SHORT RATE MODEL ⋮ Real-World Pricing for a Modified Constant Elasticity of Variance Model ⋮ Captive diffusions and their applications to order-preserving dynamics ⋮ SIMPLE SIMULATION SCHEMES FOR CIR AND WISHART PROCESSES ⋮ Pricing of mountain range derivatives under a principal component stochastic volatility model ⋮ Explosion time for some Laplace transforms of the Wishart process ⋮ Maximum Principles for Boundary-Degenerate Second Order Linear Elliptic Differential Operators ⋮ The Heston stochastic volatility model in Hilbert space ⋮ Limit theorems and soft edge of freezing random matrix models via dual orthogonal polynomials ⋮ Long-Time Large Deviations for the Multiasset Wishart Stochastic Volatility Model and Option Pricing ⋮ On regularity properties of Bessel flow ⋮ Calibration and advanced simulation schemes for the Wishart stochastic volatility model ⋮ Markowitz Portfolio Selection for Multivariate Affine and Quadratic Volterra Models ⋮ Ergodicity of affine processes on the cone of symmetric positive semidefinite matrices ⋮ Eigenvalue processes of Elliptic Ginibre Ensemble and their overlaps ⋮ A fractionally integrated Wishart stochastic volatility model ⋮ Dunkl jump processes: relaxation and a phase transition ⋮ On a family of coupled diffusions that can never change their initial order ⋮ Solving High-Dimensional Optimal Stopping Problems Using Optimization Based Model Order Reduction
Cites Work
- A characterization of the Wishart exponential families by an invariance property
- Invariant generalized functions in homogeneous domains
- Diffusions of perturbed principal component analysis
- Multivariate calculation. Use of the continuous groups
- Discrete and continuous boundary problems
- Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
- A decomposition of Bessel Bridges
- Bessel diffusions as a one-parameter family of diffusion processes
- Brownian Motions of Ellipsoids
- Inequalities: theory of majorization and its applications
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item