Properties of Lagrangian distributions |
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Authors: | Tomoaki Imoto |
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Institution: | 1. School of Fundamental Science and Technology, Keio University, Yokohama 223-8522, Japaneureka-00.wakatta@a5.keio.jp |
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Abstract: | AbstractLagrange’s expansion is the power series expansion of the inverse function of an analytic function, and it leads to general Lagrangian distributions of the first kind as well as of the second kind. We present some theorems in which different sets of two analytic functions provide a Lagrangian distribution. Potential applicability of the theorem to tandem queueing process is studied. |
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Keywords: | Generalized negative binomial distribution Lagrange’s expansion Lagrangian non central negative binomial distribution Tandem queue |
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