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Conditional sampling for barrier option pricing under the Heston model
Conditional sampling barrier option pricing Heston model
2012/9/14
We propose a quasi-Monte Carlo algorithm for pricing knock-out and knock-in barrier options under the Heston (1993) stochastic volatility model. This is done by modifying the LT method from Imai and T...
State-independent importance sampling for regularly varying random walks
State-independent regularly random walks
2012/9/14
Efficient simulation of rare events involving sums of heavy-tailed random vari-ables has been an active research area in applied probability in the lastfifteen years.These rare events arise in many ap...
Consistent single- and multi-step sampling of multivariate arrival times: A characterization of self-chaining copulas
Dependence Modeling Arrival Times Sampling Archimedean Copula Gumbel-Hougaard Copula Marshall-Olkin Copula
2012/4/28
This paper deals with dependence across marginally exponentially distributed arrival times, such as default times in financial modeling or inter-failure times in reliability theory. We explore the rel...
Monte Carlo sampling given a Characteristic Function: Quantile Mechanics in Momentum Space
Monte Carlo Characteristic Function Momentum Space
2010/10/29
In mathematical nance and other applications of stochastic processes, it is frequently the case that the characteristic function may be known but explicit forms for density functions are not availabl...
The Effects of Random and Discrete Sampling When Estimating Continuous-Time Diffusions
The Effects of Random Discrete Sampling Estimating Continuous-Time Diffusions
2014/3/13
The Effects of Random and Discrete Sampling When Estimating Continuous-Time Diffusions.
Addressing the bias in Monte Carlo pricing of multi-asset options with multiple barriers through discrete sampling
Monte Carlo simulation extreme values Brownian Bridge multi-asset barrier option multi-variate joint distribution Fr´ echet bounds
2010/10/29
An efficient conditioning technique, the so-called Brownian Bridge simulation, has previously
been applied to eliminate pricing bias that arises in applications of the standard
discrete-time Monte C...