Discrepancy-based error estimates for Quasi-Monte Carlo III. Error distributions and central limits

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

Error in Monte Carlo, quasi-error in Quasi-Monte Carlo

While the Quasi-Monte Carlo method of numerical integration achieves smaller integration error than standard Monte Carlo, its use in particle physics phenomenology has been hindered by the abscence of a reliable way to estimate that error. The standard Monte Carlo error estimator relies on the assumption that the points are generated independently of each other and, therefore, fails to account ...

متن کامل

Discrepancy estimates for variance bounding Markov chain quasi-Monte Carlo

Markov chain Monte Carlo (MCMC) simulations are modeled as driven by true random numbers. We consider variance bounding Markov chains driven by a deterministic sequence of numbers. The star-discrepancy provides a measure of efficiency of such Markov chain quasi-Monte Carlo methods. We define a pull-back discrepancy of the driver sequence and state a close relation to the star-discrepancy of the...

متن کامل

Error trends in Quasi-Monte Carlo integration

Several test functions, whose variation could be calculated, were integrated with up tp 10 trials using different low-discrepancy sequences in dimensions 3, 6, 12, and 24. The integration errors divided by the variation of the functions were compared with exact and asymptotic discrepancies. These errors follow an approximate power law, whose constant is essentially given by the variance of the ...

متن کامل

Error Bounds for Sequential Monte Carlo Samplers for Multimodal Distributions

In this paper, we provide bounds on the asymptotic variance for a class of sequential Monte Carlo (SMC) samplers designed for approximating multimodal distributions. Such methods combine standard SMC methods and Markov chain Monte Carlo (MCMC) kernels. Our bounds improve upon previous results, and unlike some earlier work, they also apply in the case when the MCMC kernels can move between the m...

متن کامل

Error bounds for quasi-Monte Carlo integration with nets

We analyze the error introduced by approximately calculating the s-dimensional Lebesgue measure of a Jordan-measurable subset of Is = [0, 1)s. We give an upper bound for the error of a method using a (t,m, s)-net, which is a set with a very regular distribution behavior. When the subset of Is is defined by some function of bounded variation on Īs−1, the error is estimated by means of the variat...

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: Computer Physics Communications

سال: 1997

ISSN: 0010-4655

DOI: 10.1016/s0010-4655(96)00154-3