Berry–Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences

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

Rademacher Chaos: Tail Estimates Vs Limit Theorems

We study Rademacher chaos indexed by a sparse set which has a fractional combinatorial dimension. We obtain tail estimates for finite sums and a normal limit theorem as the size tends to infinity. The tails for finite sums may be much larger that the tails of the limit.

متن کامل

Limit Theorems for Sequences of Random Trees

We consider a random tree and introduce a metric in the space of trees to define the “mean tree” as the tree minimizing the average distance to the random tree. When the resulting metric space is compact we show laws of large numbers and central limit theorems for sequence of independent identically distributed random trees. As application we propose tests to check if two samples of random tree...

متن کامل

Limit Theorems for Empirical Processes of Cluster Functionals

Let (Xn,i)1≤i≤n,n∈N be a triangular array of row-wise stationary R-valued random variables. We use a “blocks method” to define clusters of extreme values: the rows of (Xn,i) are divided into mn blocks (Yn,j), and if a block contains at least one extreme value the block is considered to contain a cluster. The cluster starts at the first extreme value in the block and ends at the last one. The ma...

متن کامل

8 Limit Theorems for Additive Functionals of a Markov Chain

Consider a Markov chain {X n } n≥0 with an ergodic probability measure π. Let Ψ a function on the state space of the chain, with α-tails with respect to π, α ∈ (0, 2). We find sufficient conditions on the probability transition to prove convergence in law of N 1/α N n Ψ(X n) to a α-stable law. A " martingale approximation " approach and " coupling " approach give two different sets of condition...

متن کامل

Central Limit Theorems for Non-Linear Functionals of Gaussian Fields

In the present paper it is shown that the central limit theorem holds for some non-linear functionals of stationary Gaussian fields if the correlation function of the underlying field tends fast enough to zero. The results are formulated in terms of the Hermite rank of the functional and of the rate of the correlation function. Then we show an example when the limit field is self-similar and Ga...

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: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques

سال: 2016

ISSN: 0246-0203

DOI: 10.1214/14-aihp652