On Chung-Teicher type strong law for arrays of vector-valued random variables
نویسندگان
چکیده
منابع مشابه
On Chung-Teicher type strong law for arrays of vector-valued random variables
We study the equivalence between the weak and strong laws of large numbers for arrays of row-wise independent random elements with values in a Banach space . The conditions under which this equivalence holds are of the Chung or Chung-Teicher types. These conditions are expressed in terms of convergence of specific series and o(1) requirements on specific weighted row-wise sums. Moreover, there ...
متن کاملOn Chung-Teicher Type Strong Law of Large Numbers for -Mixing Random Variables
Recommended by Stevo Stevic In this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of ρ *-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN.
متن کاملMARCINKIEWICZ-TYPE STRONG LAW OF LARGE NUMBERS FOR DOUBLE ARRAYS OF NEGATIVELY DEPENDENT RANDOM VARIABLES
In the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. Let be a double sequence of pairwise negatively dependent random variables. If for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). In addition, it also converges to 0 in ....
متن کاملmarcinkiewicz-type strong law of large numbers for double arrays of negatively dependent random variables
in the following work we present a proof for the strong law of large numbers for pairwise negatively dependent random variables which relaxes the usual assumption of pairwise independence. let be a double sequence of pairwise negatively dependent random variables. if for all non-negative real numbers t and , for 1 < p < 2, then we prove that (1). in addition, it also converges to 0 in . the res...
متن کاملMarcinkiewicz-type Strong Law of Large Numbers for Double Arrays of Pairwise Independent Random Variables
Let { Xij } be a double sequence of pairwise independent random variables. If P {|Xmn| ≥ t}≤ P{|X| ≥ t} for all nonnegative real numbers t and E|X|p( log+ |X|)3 <∞, for 1 <p < 2, then we prove that ∑m i=1 ∑n j=1 ( Xij−EXij ) (mn)1/p → 0 a.s. as m∨n →∞. (0.1) Under the weak condition of E|X|p log+ |X| <∞, it converges to 0 in L1. And the results can be generalized to an r -dimensional array of r...
متن کاملذخیره 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: International Journal of Mathematics and Mathematical Sciences
سال: 2004
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171204301031