Difference Approximation for Local times of Multidimensional Diffusions

نویسنده

  • ALEXEY M. KULIK
چکیده

Abstract. We consider sequences of additive functionals of difference approximations for uniformly non-degenerate multidimensional diffusions. The conditions are given, sufficient for such a sequence to converge weakly to a W -functional of the limiting process. The class of the W -functionals, that can be obtained as the limiting ones, is completely described in the terms of the associated W -measures μ by the condition

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multivariate inhomogeneous diffusion models with covari- ates and mixed effects

Modeling of longitudinal data often requires diffusion models that incorporate overall time-dependent, nonlinear dynamics of multiple components and provide sufficient flexibility for subject-specific modeling. This complexity challenges parameter inference and approximations are inevitable. We propose a method for approximate maximum-likelihood parameter estimation in multivariate time-inhomog...

متن کامل

Discrete approximations to local times for reflected diffusions

For an arbitrary bounded Lipschitz domain D, we propose a class of discrete analogues for the boundary local time of reflected diffusions in D. These discrete analogues are obtained from random walks on D := D ∩ 2−kZd and can be effectively simulated in practice. We prove weak convergence of the joint law of the random walks and the proposed analogues to the joint law of reflected diffusion and...

متن کامل

Non-local reaction-diffusion equations with a barrier

Non-local reaction-diffusion equations arise naturally to account for diffusions involving jumps rather than local diffusions related to Brownian motion. In ecology, long distance dispersal require such frameworks. In this work we study a one-dimensional non-local reaction-diffusion equation with bistable and monostable type reactions. The heterogeneity here from due to the presence of a barrie...

متن کامل

An Efficient Method for Pricing American Options for Jump Diffusions

We approximate the price of the American put for jump diffusions by a sequence of functions, which are computed iteratively. This sequence converges to the price function uniformly and exponentially fast. Each element of the approximating sequence solves an optimal stopping problem for geometric Brownian motion, and can be numerically constructed using the classical finite difference methods. W...

متن کامل

Convergence Rates of Markov Chain Approximation Methods for Controlled Regime-Switching Diffusions with Stopping

This work summarizes our recent work on rates of convergence of Markov chain approximation methods for controlled switching diffusions, in which both continuous dynamics and discrete events coexist. The discrete events are formulated by continuous-time Markov chains to delineate random environment and other random factors that cannot be represented by diffusion processes. The cost function is o...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007