Abstract
A two parameter generalized logarithmic series distribution is used to model the number of publications written by biologists. In this paper, some methods of sampling from the generalized logarithmic series distribution are presented. The inversion algorithm is compared with algorithms based on rejection and branching methods. For small values of the parameters, the inversion algorithm seems to be faster than other algorithms. The paper recommends a modified algorithm based on the inversion and branching methods.
Zusammenfassung
Mit einer verallgemeinerten logarithmischen Verteilung läßt sich z.B. die Anzahl der Veröffentlichung von Biologen beschreiben. In dieser Arbeit präsentieren wir Methoden zur Erzeugung von Stichproben aus einer solchen Verteilung: Wir vergleichen Inversion mit Verwerfungsalgorithmen und Verzweigungsmethoden. Es scheint, daß Inversion für kleine Parameterwerte schneller als andere Algorithmen ist. Die Arbeit empfiehlt eine Verbindung von Inversion und Verzweigung.
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This article was written while the author was spending his sabbatical leave at the Department of Statistics, University of Kentucky-Lexington.
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Famoye, F. Sampling from the generalized logarithmic series distribution. Computing 58, 365–375 (1997). https://doi.org/10.1007/BF02684348
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DOI: https://doi.org/10.1007/BF02684348