Complete Convergence and Some Maximal Inequalities for Weighted Sums of Random Variables
نویسنده
چکیده مقاله:
Let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. We will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
منابع مشابه
complete convergence and some maximal inequalities for weighted sums of random variables
let be a sequence of arbitrary random variables with and , for every and be an array of real numbers. we will obtain two maximal inequalities for partial sums and weighted sums of random variables and also, we will prove complete convergence for weighted sums , under some conditions on and sequence .
متن کاملOn the Complete Convergence ofWeighted Sums for Dependent Random Variables
We study the limiting behavior of weighted sums for negatively associated (NA) random variables. We extend results in Wu (1999) and a theorem in Chow and Lai (1973) for NA random variables.
متن کاملOn Complete Convergence for Weighted Sums of -Mixing Random Variables
Copyright q 2010 Wang Xuejun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Some results on complete convergence for weighted sums ∑n i 1 aniXi are presented, where {Xn, n ≥ 1} is a sequence of φ-mixing random variables an...
متن کاملMaximal Inequalities for Associated Random Variables
In a celebrated work by Shao [13] several inequalities for negatively associated random variables were proved. In this paper we obtain some maximal inequalities for associated random variables. Also we establish a maximal inequality for demimartingales which generalizes and improves the result of Christofides [4].
متن کاملStrong Laws for Weighted Sums of Negative Dependent Random Variables
In this paper, we discuss strong laws for weighted sums of pairwise negatively dependent random variables. The results on i.i.d case of Soo Hak Sung [9] are generalized and extended.
متن کاملSome exponential inequalities for acceptable random variables and complete convergence
* Correspondence: volodin@math. uregina.ca Department of Mathematics and Statistics, University of Regina, Regina Saskatchewan S4S 0A2, Canada Full list of author information is available at the end of the article Abstract Some exponential inequalities for a sequence of acceptable random variables are obtained, such as Bernstein-type inequality, Hoeffding-type inequality. The Bernsteintype ineq...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 18 شماره 4
صفحات 311- 316
تاریخ انتشار 2007-12-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023