Large deviation principle for empirical SINR measure of critical telecommunication networks
نویسندگان
چکیده
For a powered Poisson process, we define Signal-to-Interference-plus-Noise Ratio(SINR) and thesinr network as Telecommunication Network. We the Empirical Measures (empirical measure, empirical link measure sinr measure) of class Networks. this Network prove joint large deviation principle(LDP) for measures All our rate functions are expressed in terms relative entropies.
منابع مشابه
A large deviation principle for the Yang-Mills measure
We prove the first mathematical result relating the Yang-Mills measure on a compact surface and the Yang-Mills energy. We show that, at the small volume limit, the scaled Yang-Mills measures satisfy a large deviation principle with the Yang-Mills energy as rate function. This gives some rigorous content to the informal description of the Yang-Mills measure as the Gibbs measure of the Yang-Mills...
متن کاملA large deviation principle for Dirichlet posteriors
Let Xk be a sequence of independent and identically distributed random variables taking values in a compact metric space Ω, and consider the problem of estimating the law of X1 in a Bayesian framework. A conjugate family of priors for non-parametric Bayesian inference is the Dirichlet process priors popularized by Ferguson. We prove that if the prior distribution is Dirichlet, then the sequence...
متن کاملLarge deviation principle for enhanced Gaussian processes
We study large deviation principles for Gaussian processes lifted to the free nilpotent group of step N . We apply this to a large class of Gaussian processes lifted to geometric rough paths. A large deviation principle for enhanced (fractional) Brownian motion, in Hölderor modulus topology, appears as special case. © 2007 Elsevier Masson SAS. All rights reserved. Résumé Nous etudions les princ...
متن کاملA large deviation principle for Dirichlet posteriorsA
Let X k be a sequence of independent and identically distributed random variables taking values in a compact metric space , and consider the problem of estimating the law of X 1 in a Bayesian framework. A conjugate family of priors for non-parametric Bayesian inference is the Dirichlet process priors popularized by Ferguson. We prove that if the prior distribution is Dirichlet, then the sequenc...
متن کاملLarge Deviation Principle for General Occupancy Models
We use process level large deviation analysis to obtain the rate function for a general family of occupancy problems. Our interest is the asymptotics of the empirical distributions of various quantities (such as the fraction of urns that contain a given number of balls). In the general setting, balls are allowed to land in a given urn depending on the urn’s contents prior to the throw. We discu...
متن کاملذخیره 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: Journal of Information and Optimization Sciences
سال: 2021
ISSN: ['2169-0103', '0252-2667']
DOI: https://doi.org/10.1080/02522667.2020.1848038