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| Titel: |
Some Interesting Properties of Lagrangian Distributions |
| Auteur: |
Consul, P. C. Shenton, L. R. |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 2 (1973) nr. 3 pagina's 263-272 |
| Jaar: |
1973 |
| Inhoud: |
Several discrete Lagrangian probability distributions have been generated by Consul and Shenton (1972) by using the Lagrange expansion in y of a probability generating function f(x) under the transformation x = y g(x) where g(x) is another pgf. By using probabilistic arguments the authors show that the transformation x = y g(x) occurs naturally in the distribution of the number of customers served during a busy period which implies that at least one particular family of these Lagranbgian distributions must play a basic role in queueing theory. It has also been proved that under one set of conditions all discrete Lagrangian distributions approach to the normal density function while under another set of conditions they appraoch the inverse Gaussian density function. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 10 van 10 gevonden artikelen
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