• DocumentCode
    2179326
  • Title

    Beta approximations for bridge sampling

  • Author

    Glasserman, Paul ; Kim, Kyoung-Kuk

  • Author_Institution
    Grad. Sch. of Bus., Columbia Univ., New York, NY, USA
  • fYear
    2008
  • fDate
    7-10 Dec. 2008
  • Firstpage
    569
  • Lastpage
    577
  • Abstract
    We consider the problem of simulating X conditional on the value of X+Y, when X and Y are independent positive random variables. We propose approximate methods for sampling (X|X+Y) by approximating the fraction (X/z|X+ Y=z) with a beta random variable. We discuss applications to Levy processes and infinitely divisible distributions, and we report numerical tests for Poisson processes, tempered stable processes, and the Heston stochastic volatility model.
  • Keywords
    approximation theory; random processes; sampling methods; Heston stochastic volatility model; Levy processes; Poisson processes; beta random variables; bridge sampling; independent positive random variables; Bridges; Pricing; Probability distribution; Random variables; Sampling methods; Stochastic processes; Testing; Writing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Simulation Conference, 2008. WSC 2008. Winter
  • Conference_Location
    Austin, TX
  • Print_ISBN
    978-1-4244-2707-9
  • Electronic_ISBN
    978-1-4244-2708-6
  • Type

    conf

  • DOI
    10.1109/WSC.2008.4736115
  • Filename
    4736115