Catalytic discrete state branching models and related limit theorems

DOI10.1007/s10959-008-0161-yzbMath1153.60047OpenAlexW2025693702MaRDI QIDQ960182

Chunhua Ma, Zhenghu Li

Publication date: 16 December 2008

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-008-0161-y

zbMATH Keywords

immigrationlimit theoremwhite noisePoisson random measureaffine processcatalytic branching process

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Transition functions, generators and resolvents (60J35) Stochastic integral equations (60H20)

Related Items (10)

Limit theorems for continuous-state branching processes with immigration ⋮ Near critical catalyst reactant branching processes with controlled immigration ⋮ Continuous-state branching processes with collisions: first passage times and duality ⋮ Continuous-State Branching Processes with Immigration ⋮ A Gamma Ornstein-Uhlenbeck model driven by a Hawkes process ⋮ Limit Theorems for Continuous-Time Branching Flows ⋮ Limit theorems for flows of branching processes ⋮ A limit theorem of two-type Galton-Watson branching processes with immigration ⋮ Is the Variance Swap Rate Affine in the Spot Variance? Evidence from S&P500 Data ⋮ Asymptotic properties of estimators in a stable Cox-Ingersoll-Ross model

Cites Work

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• A continuous super-Brownian motion in a super-Brownian medium
• Martingale measures and stochastic calculus
• Measure-valued branching processes with immigration
• Continuous branching processes and spectral positivity
• Stopping times and tightness
• Branching processes in Lévy processes: The exploration process
• Estimating continuous-time stochastic volatility models of the short-term interest rate
• Construction of immigration superprocesses with dependent spatial motion from one-di\-men\-sion\-al excursions
• Affine processes and applications in finance
• A time-varying Markov chain model of term structure.
• Skew convolution semigroups and affine Markov processes
• A Theory of the Term Structure of Interest Rates
• A class of measure-valued branching diffusions in a random medium
• Ornstein-Uhlenbeck type processes and branching processes with immigration
• A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
• A Limit Theorem for Discrete Galton-Watson Branching Processes with Immigration
• Continuous state branching processes

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