The integral limit theorem in the first passage problem for sums of independent nonnegative lattice variables
The integral limit theorem as to the probability distribution of the random number νm of summands in the sum ∑k=1νmξk is proved. Here, ξ1,ξ2,… are some nonnegative, mutually independent, lattice random variables being equally distributed and νm is defined by the condition that the sum value exceeds...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/56367 |
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