When are increment-stationary random point sets stationary?

نویسندگان

چکیده

برای دانلود رایگان 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

When Are Increment-stationary Random Point Sets Stationary?

In a recent work, Blanc, Le Bris, and Lions defined a notion of incrementstationarity for random point sets, which allowed them to prove the existence of a thermodynamic limit for two-body potential energies on such point sets (under the additional assumption of ergodicity), and to introduce a variant of stochastic homogenization for increment-stationary coefficients. Whereas stationary random ...

متن کامل

When are increment - stationary random point sets stationary ? Antoine

In a recent work, Blanc, Le Bris, and Lions defined a notion of increment-stationarity for random point sets, which allowed them to prove the existence of a thermodynamic limit for two-body potential energies on such point sets (under the additional assumption of ergodicity), and to introduce a variant of stochastic homogenization for increment-stationary coefficients. Whereas stationary random...

متن کامل

Stationary countable dense random sets

We study the probability theory of countable dense random subsets of (uncountably infinite) Polish spaces. It is shown that if such a set is stationary with respect to a transitive (locally compact) group of symmetries then any event which concerns the random set itself (rather than accidental details of its construction) must have probability zero or one. Indeed the result requires only quasi-...

متن کامل

On Sampling of Stationary Increment Processes

Under a complex technical condition, similar to such used in extreme value theory, we find the rate q(ε) at which a stochastic process with stationary increments ξ should be sampled, for the sampled process ξ(⌊·/q(ε)⌋q(ε)) to deviate from ξ by at most ε, with a given probability, asymptotically as ε ↓ 0. The canonical application is to discretization errors in computer simulation of stochastic ...

متن کامل

Random Sampling of Random Processes: Stationary Point Processes

This is the first of a series of papers treating randomly sampled random processes. Spectral analysis of the resulting samples presupposes knowledge of the statistics of 1 t~}, the random point process whose variates represent the sampling times. We introduce a class of s ta t ionary point processes, whose s ta t ionar i ty (as characterized by any of several equivalent criteria) leads to wide-...

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: Electronic Communications in Probability

سال: 2014

ISSN: 1083-589X

DOI: 10.1214/ecp.v19-3288