Efficient Rare-Event Simulation for Multiple Jump Events in Regularly Varying Random Walks and Compound Poisson Processes

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rare-event Simulation for Multidimensional Regularly Varying Random Walks

We consider the problem of e¢ cient estimation via simulation of …rst passage time probabilities for a multidimensional random walk with regularly varying increments. In addition of being a natural generalization of the problem of computing ruin probabilities in insurance –in which the focus is a one dimensional random walk –this problem captures important features of large deviations for multi...

متن کامل

Numerical solution and simulation of random differential equations with Wiener and compound Poisson Processes

Ordinary differential equations(ODEs) with stochastic processes in their vector field, have lots of applications in science and engineering. The main purpose of this article is to investigate the numerical methods for ODEs with Wiener and Compound Poisson processes in more than one dimension. Ordinary differential equations with Ito diffusion which is a solution of an Ito stochastic differentia...

متن کامل

Rare-Event Simulation for Markov-Modulated Heavy-Tailed Random Walks

In this paper, we develop efficient rare event simulation methodology for Markov modulated heavy-tailed random walks. Model formulation and problem setup: Consider a random walk Sn = ∑n k=1Xk, n = 1, 2, . . . on R that is modulated by a Markov chain {Yn : n = 1, 2, . . .} living on a complete separable metric space Y. In particular, Xn = f(Yn, Jn) where {Jn, n = 1, 2, . . .} are i.i.d. r.v.’s l...

متن کامل

State-dependent Importance Sampling for Regularly Varying Random Walks

Consider a sequence (Xk : k ≥ 0) of regularly varying independent and identically distributed random variables with mean 0 and finite variance. We develop efficient rare-event simulation methodology associated with large deviation probabilities for the random walk (Sn : n ≥ 0). Our techniques are illustrated by examples, including large deviations for the empirical mean and path-dependent event...

متن کامل

A dichotomy for sampling barrier-crossing events of random walks with regularly varying tails

We consider the problem of sampling paths of a random walk up to the first time it crosses a fixed barrier, in the setting where the step sizes are iid with negative mean and have a regularly varying right tail. We study the efficiency of an AcceptanceRejection-type of simulation algorithm that is based on the change of measure proposed by Blanchet and Glynn [9]. We show that this algorithm is ...

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

ژورنال

عنوان ژورنال: Mathematics of Operations Research

سال: 2019

ISSN: 0364-765X,1526-5471

DOI: 10.1287/moor.2018.0950