Complete Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables
Author(s) -
Xuejun Wang,
Shuhe Hu,
Wenzhi Yang
Publication year - 2011
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2011/717126
Subject(s) - convergence (economics) , algorithm , computer science , economics , economic growth
Let {Xni,i≥1,n≥1} be an array of rowwise asymptoticallyalmost negatively associated random variables. Some sufficient conditions forcomplete convergence for arrays of rowwise asymptotically almost negativelyassociated random variables are presented without assumptions of identicaldistribution. As an application, the Marcinkiewicz-Zygmund type strong lawof large numbers for weighted sums of asymptotically almost negatively associated random variables is obtained
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom