Monte Carlo sampling given a Characteristic Function: Quantile Mechanics in Momentum Space

Autor:	Shaw, William T., McCabe, Jonathan
Rok vydání:	2009
Předmět:	Quantitative Finance - Computational Finance Quantitative Finance - Statistical Finance
Druh dokumentu:	Working Paper
Popis:	In mathematical finance 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 available. The simulation of any distribution is greatly facilitated by a knowledge of the quantile function, by which uniformly distributed samples may be converted to samples of the given distribution. This article analyzes the calculation of a quantile function direct from the characteristic function of a probability distribution, without explicit knowledge of the density. We form a non-linear integro-differential equation that despite its complexity admits an iterative solution for the power series of the quantile about the median. We give some examples including tail models and show how to generate C-code for examples. Comment: Version 1
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0903.1592 Zobrazit plný text záznamu View this record from Arxiv