Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 2
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- Pages.279-292
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
MAXIMAL INEQUALITIES WITH AN APPLICATION TO THE WEAK CONVERGENCE FOR 2-PARAMETER ARRAYS OF POSITIVELY DEPENDENT RANDOM VARIABLES
- Kim, Tae-Sung (DEPARTMENT OF STATISTICS, WONKWANG UNIVERSITY) ;
- Seok, Eun-Yang (DEPARTMENT OF STATISTICS, WONKWANG UNIVERSITY)
- Published : 1998.05.01
Abstract
We derive maximal inequalities of linearly positive quadrant dependent (LPQD) random variables for d = 1,2. With an application we also obtain the weak convergence for 2-parameter arrays of LPQD random variables.