DAVENPORT SERIES AND ALMOST-SURE CONVERGENCE

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

Jakimovski Methods and Almost-Sure Convergence

The classical summability methods of Borel (B) and Euler (E(λ), λ > 0) play an important role in many areas of mathematics. For instance, in summability theory they are perhaps the most important methods other than the Cesàro (Cα) and Abel (A) methods, and two chapters of the classic book of Hardy (1949) are devoted to them. In probability, the distinction between methods of Cesàro-Abel and Eul...

متن کامل

Almost sure convergence of the Bartlett estimator

We study the almost sure convergence of the Bartlett estimator for the asymptotic variance of the sample mean of a stationary weekly dependent process. We also study the a. s. behavior of this estimator in the case of long-range dependent observations. In the weakly dependent case, we establish conditions under which the estimator is strongly consistent. We also show that, after appropriate nor...

متن کامل

Almost sure convergence, convergence in probability and asymptotic normality

In the previous chapter we considered estimator of several different parameters. The hope is that as the sample size increases the estimator should get ‘closer’ to the parameter of interest. When we say closer we mean to converge. In the classical sense the sequence {xk} converges to x (xk → x), if |xk − x| → 0 as k → ∞ (or for every ε > 0, there exists an n where for all k > n, |xk − x| < ε). ...

متن کامل

Almost Sure Limit Sets of Random Series

I would like to tell you about an easily stated problem which lies at the border of geometry, probability and classical analysis. In the summer of 2005 two undergraduates at McGill University worked in this general area, and were able to make some progress. When posing the project to them I made a certain conjecture, and (as expected) they did not get far enough in their eight week project to b...

متن کامل

Saturated Particle Filter: Almost sure convergence and improved resampling

Nonlinear stochastic dynamical systems are widely used to model physical processes. In many practical applications, the state variables are defined on a compact set of the state space, i.e., they are bounded or saturated. To estimate the states of systems with saturated variables, the Saturated Particle Filter (SPF) has recently been developed. This filter exploits the structure of the saturate...

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: The Quarterly Journal of Mathematics

سال: 2010

ISSN: 0033-5606,1464-3847

DOI: 10.1093/qmath/haq020