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Power series expansions for the distribution and mean value function of a geometric process with Weibull interarrival times
Authors:Halil Aydo?du  ?hsan Karabulut
Affiliation:Department of Statistics, Ankara University, , Tando?an, Ankara, 06100 Turkey
Abstract:The geometric process is considered when the distribution of the first interarrival time is assumed to be Weibull. Its one‐dimensional probability distribution is derived as a power series expansion of the convolution of the Weibull distributions. Further, the mean value function is expanded into a power series using an integral equation. © 2014 Wiley Periodicals, Inc. Naval Research Logistics, 61: 599–603, 2014
Keywords:convolution  geometric function  power series  Weibull distribution
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