THE BOREL-CANTELLI LEMMA UNDER PAIRWISE EXTENDED NEGATIVE QUADRANT DEPENDENCE

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

Borel - Cantelli Lemma 1

The notation and terminology used here have been introduced in the following papers: [17], [3], [4], [8], [13], [1], [2], [5], [15], [14], [21], [9], [12], [11], [16], [6], [20], [19], and [18]. For simplicity, we adopt the following rules: O1 is a non empty set, S1 is a σ-field of subsets of O1, P1 is a probability on S1, A is a sequence of subsets of S1, and n is an element of N. Let D be a s...

متن کامل

Generalizations of Borel-Cantelli Lemma

The Borel-Cantelli Lemma is very important in the probability theory‎. ‎In this paper‎, ‎we first describe the general case of the Borel-Cantelli Lemma‎. ‎The first part of this lemma‎, ‎assuming convergence and the second part includes divergence and independence assumptions‎. ‎In the following‎, ‎we have brought generalizations of the first and second part of this lemma‎. ‎In most generalizat...

متن کامل

On the Borel-Cantelli Lemma

In the present note, we propose a new form of the Borel-Cantelli lemma.

متن کامل

On the Application of the Borel-cantelli Lemma

The celebrated Borel-Cantelli lemma asserts that (A) If ~P(E,,) < 00, then P (lim sup Ek) =O; (B) If the events Es are independent and if xP(Ek) = m, then P(lim sup Eh) = 1. In intuitive language P(lim. sup &) is the probability that the events Eh occur “infinitely often” and will be denoted by P(Ek i.0.). This lemma is the basis of all theorems of the strong type in probability theory. Its app...

متن کامل

The Dynamical Borel-cantelli Lemma for Interval Maps

Abstract. The dynamical Borel-Cantelli lemma for some interval maps is considered. For expanding maps whose derivative has bounded variation, any sequence of intervals satisfies the dynamical Borel-Cantelli lemma. If a map has an indifferent fixed point, then the dynamical Borel-Cantelli lemma does not hold even in the case that the map has a finite absolutely continuous invariant measure and s...

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: Honam Mathematical Journal

سال: 2013

ISSN: 1225-293X

DOI: 10.5831/hmj.2013.35.2.163