How big are the l(infinity)-valued random fields?

作者：Moon Hee Jin; Han Chang Ho; Choi Yong Kab^*

来源：Electronic Communications in Probability, 2013, 18(0): 1-9.

DOI：10.1214/ECP.v18-2417

• linearly positive quadrant dependence
• linearly negative quadrant dependence
• stationary random field
• law of the iterated logarithm

In this paper we establish path properties and a generalized uniform law of the iterated logarithm (LIL) for strictly stationary and linearly positive quadrant dependent (LPQD) or linearly negative quadrant dependent (LNQD) random fields taking values in l(infinity)-space.

• 出版日期2013-7-13