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Stochastic Models Volume 20, 2004 - Issue 1
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Original Articles

On the Exponential Decay Rate of the Tail of a Discrete Probability Distribution

Kenji Nakagawa Department of Electrical Engineering, Nagaoka University of Technology, Nagaoka, Niigata, Japan; Department of Electrical Engineering, Nagaoka University of Technology, Kamitomioka 1603-1, Nagaoka, Niigata, 940-2188, JapanCorrespondence[email protected].
Pages 31-42 | Received 12 Aug 2002, Accepted 04 Jul 2003, Published online: 16 Feb 2007

Citations (8)

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Yongming Tai & Qi-Ming He. (2013) Logarithmic Asymptotics for the GI/G/1-type Markov Chains and their Applications to the BMAP/G/1 Queue with Vacations. INFOR: Information Systems and Operational Research 51:2, pages 92-102.
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Kenji Nakagawa . (2005) Tail probability of random variable and Laplace transform. Applicable Analysis 84:5, pages 499-522.
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Articles from other publishers (6)

Florian Sobieczky, Mostafa Shahriari & Bernhard Freudenthaler. (2020) A data transformation for the estimation of decay types of multivariate distributions. Procedia Manufacturing 42, pages 524-527.
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Bart Steyaert, Sabine Wittevrongel & Herwig Bruneel. (2015) Characterisation of the output process of a discrete-time GI / D / 1 queue, and its application to network performance. Annals of Operations Research 252:1, pages 175-190.
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Kenji Nakagawa. (2015) Tail probability and singularity of Laplace-Stieltjes transform of a Pareto type random variable. Applications of Mathematics 60:2, pages 157-184.
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Masahiro Kobayashi & Masakiyo Miyazawa. (2016) Tail Asymptotics of the Stationary Distribution of a Two-Dimensional Reflecting Random Walk with Unbounded Upward Jumps. Advances in Applied Probability 46:2, pages 365-399.
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Kenji Nakagawa. (2008) On the singularity of Laplace-Stieltjes transform of a heavy tailed random variable. On the singularity of Laplace-Stieltjes transform of a heavy tailed random variable.
Kenji Nakagawa. (2007) Application of Tauberian Theorem to the Exponential Decay of the Tail Probability of a Random Variable. IEEE Transactions on Information Theory 53:9, pages 3239-3249.
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