Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151706 | Statistics & Probability Letters | 2013 | 6 Pages |
Abstract
The geometric process is considered when the distribution of the first interarrival time is assumed to be exponential. An analytical expression for the one dimensional probability distribution of this process is obtained as a solution to a system of recursive differential equations. A power series expansion is derived for the geometric renewal function by using an integral equation and evaluated in a computational perspective. Further, an extension is provided for the power series expansion of the geometric renewal function in the case of the Weibull distribution.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Halil Aydoğdu, İhsan Karabulut, Elif Şen,