Properties of Lagrangian distributions
| Autor: | Tomoaki Imoto |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Statistics and Probability
Power series Queueing theory 021103 operations research Mathematical analysis 0211 other engineering and technologies Negative binomial distribution 02 engineering and technology 01 natural sciences 010104 statistics & probability symbols.namesake Distribution (mathematics) Inverse problem for Lagrangian mechanics symbols Inverse function 0101 mathematics Lagrangian Analytic function Mathematics |
| Zdroj: | Communications in Statistics - Theory and Methods. 45:712-721 |
| ISSN: | 1532-415X 0361-0926 |
| DOI: | 10.1080/03610926.2013.835414 |
| Popis: | Lagrange’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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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