Limit theorems on maximums of Poisson sequences and their applications to queuing theory (Q2711130)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit theorems on maximums of Poisson sequences and their applications to queuing theory |
scientific article |
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2 May 2001
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Poisson random variables
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maximums
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limit theorems
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almost sure convergence
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infinitely linear queueing systems
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0.8968301
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0.8929964
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0.89234936
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0.8906051
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0.89006484
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Limit theorems on maximums of Poisson sequences and their applications to queuing theory (English)
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The author considers a sequence of independent Poisson random variables \(x_n\) with parameters \(\lambda_n\) and studies the asymptotic properties of \(y_n= \max_{1\leq i\leq n}x_i\) under the dependence on properties of the sequence \(\{\lambda_n\}\). Illustrations are given and applied to investigate the maximal number of claims in the system \(\text{M/G}/\infty\) with time dependent parameters.
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