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Citation(s) in
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Cited by Other Article(s)
1
On the Dependence Structure of Certain Multi-dimensional Ito Processes and Corresponding Hitting Times.
J MULTIVARIATE ANAL
2002. [DOI:
10.1006/jmva.2001.1996
]
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Citation(s) in
RCA
: 2
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Impact Index Per Article: 0.1
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[Indexed: 11/22/2022]
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2
Baek JI
. A weakly dependence structure of multivariate processes.
Stat Probab Lett
1997. [DOI:
10.1016/s0167-7152(96)00203-9
]
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Citation(s) in
RCA
: 1
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Impact Index Per Article: 0.0
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[Indexed: 11/24/2022]
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3
On the dependence structure of hitting times of multivariate processes.
J Appl Probab
1989. [DOI:
10.1017/s0021900200027285
]
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[Indexed: 11/06/2022]
Abstract
A direct approach to derive dependence properties among the hitting times of bivariate processes has been initiated by Ebrahimi (1987) and explored further by Ebrahimi and Ramallingam (1988). In this paper, new results are obtained for multivariate processes, which help us to identify positive and negative dependence structures among the hitting times of the processes. Applications of our theorems to reliability of systems are given.
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