Berry-Esseen bound for nearly critical branching processes with immigration

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

The Berry-esseen Bound for Character Ratios

Let λ be a partition of n chosen from the Plancherel measure of the symmetric group Sn, let χλ(12) be the irreducible character of the symmetric group parameterized by λ evaluated on the transposition (12), and let dim(λ) be the dimension of the irreducible representation parameterized by λ. Fulman recently obtained the convergence rate of O(n−s) for any 0 < s < 1 2 in the central limit theorem...

متن کامل

General Branching Processes with Immigration

A general multi-type branching process where new individuals immigrate according to some point process is considered. An intrinsic submartingale is defined and a convergence result for processes counted with random characteristics is obtained. Some examples are given. GENERAL BRANCHING PROCESS; MULTI-TYPE; IMMIGRATION AMS 1991 SUBJECT CLASSIFICATION: PRIMARY 60180

متن کامل

On Berry-Esseen type bound for least squares estimator for diffusion processes based on discrete observations

The paper is concerned with the distribution of the least squares estimator (LSE) of the drift parameter in the stochastic differential equation (SDE) of small diffusion observed over discrete set of time points. Convergence of the distribution of the least squares estimator to the standard normal distribution with an error bound has been obtained when the discretization step decreases with noi...

متن کامل

A Berry - Esseen bound for the uniform multinomial occupancy model ∗

The inductive size bias coupling technique and Stein’s method yield a Berry-Esseen theorem for the number of urns having occupancy d ≥ 2 when n balls are uniformly distributed over m urns. In particular, there exists a constant C depending only on d such that sup z∈R |P (Wn,m ≤ z)− P (Z ≤ z)| ≤ C σn,m 1 + ( n m )3 for all n ≥ d and m ≥ 2, where Wn,m and σ 2 n,m are the standardized count and va...

متن کامل

A Berry-Esseen Type Bound for the Kernel Density Estimator of Length-Biased Data

Length-biased data are widely seen in applications. They are mostly applicable in epidemiological studies or survival analysis in medical researches. Here we aim to propose a Berry-Esseen type bound for the kernel density estimator of this kind of data.The rate of normal convergence in the proposed Berry-Esseen type theorem is shown to be O(n^(-1/6) ) modulo logarithmic term as n tends to infin...

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: Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics

سال: 2019

ISSN: 2218-2055,1812-5409

DOI: 10.17721/1812-5409.2019/4.5