On the Laplace transform of the Pareto distribution
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Publication:855177
DOI10.1007/s11134-006-0299-1zbMath1116.44001OpenAlexW2102626683MaRDI QIDQ855177
Samuel Kotz, Saralees Nadarajah
Publication date: 4 January 2007
Published in: Queueing Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11134-006-0299-1
Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Laplace transform (44A10) Integral transforms of special functions (44A20)
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Cites Work
- Unnamed Item
- An Algorithm to Compute the Waiting Time Distribution for the M/G/1 Queue
- Computing Laplace Transforms for Numerical Inversion Via Continued Fractions
- Level-crossing ordering of semi-Markov processes and markov chains
- Modeling and analysis of power-tail distributions via classical teletraffic methods
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