On large deviations and density functions |
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| Authors: | Timothy J Killeen |
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| Institution: | (1) The University of Connecticut, Connecticut, USA |
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| Abstract: | Suppose thatX
1,X
2, ... is a sequence of absolutely continuous or integer valued random variables with corresponding probability density functionsf
n
(x). Let {φ
n
}
n=1
∞
be a sequence of real numbers, then necessary and sufficient conditions are given forn
−1 logf
n
(φ
n
)-n
−1 log P (X
n
>φ
n
)=0(1) asn→∞. |
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| Keywords: | primary 6216 secondary 6030 |
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