Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Ronald F. Patterson"'
Publikováno v:
Stochastic Analysis and Applications. 20:643-656
A strong law of large numbers for arrays of rowwise negatively dependent random variables is obtained which relaxes the usual assumption of rowwise independence. The moment conditions of the main result are similar to previous results, and the stocha
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 47:1283-1295
Autor:
Robert L. Taylor, Ronald F. Patterson
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 30:4229-4235
Autor:
Robert L. Taylor, Ronald F. Patterson
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 30:4249-4256
Publikováno v:
Stochastic Analysis and Applications. 15:651-669
Let {Xnk } be be an array of rowwise independent random elements in a separable Banach space. Chung type strong laws of large numbers are obtained under various moment conditions on the random elements and geometric type p, 1≤p≤2, conditions on t
Publikováno v:
Journal of Applied Mathematics and Stochastic Analysis, Vol 6, Iss 1, Pp 1-9 (1993)
Let {Xnk} be an array of rowwise conditionally independent random elements in a separable Banach space of type p, 1≤p≤2. Complete convergence of n−1r∑k=1nXnk to 0, 0
Publikováno v:
Journal of Applied Mathematics and Stochastic Analysis, Vol 14, Iss 3, Pp 227-236 (2001)
Weak laws of large numbers for arrays of rowwise negatively dependent random variables are obtained in this paper. The more general hypothesis of negative dependence relaxes the usual assumption of independence. The moment conditions are similar to p
Publikováno v:
Stochastic Analysis and Applications. 7:309-323
Let be an array of rowwise exchangeable random elements in a separable Banach space. Let {An} and {an} be random variables where An is positive and an is a symmetric function of . Using reverse martingale techniques, strong convergence is obtained fo
Autor:
Ronald F. Patterson, Robert L. Taylor
Publikováno v:
Stochastic Analysis and Applications. 3:171-187
Let be an array of row-wise exchangeable random elements in a separable Banach space. Strong laws of large numbers are obtained for under certain moment conditions on the random variables and a condition relating to nonorthogonality. By using reverse
Autor:
Robert L. Taylor, Ronald F. Patterson
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 8, Iss 1, Pp 135-144 (1985)
Let{Xnk,1≤k≤n,n≤1}be a triangular array of row-wise exchangeable random elements in a separable Banach space. The almost sure convergence ofn−1/p∑k=1nXnk,1≤p<2, is obtained under varying moment and distribution conditions on the random el