On the exact distribution and mean value function of a geometric process with exponential interarrival times
H Aydoğdu, İ Karabulut, E Şen - Statistics & Probability Letters, 2013 - Elsevier
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 …
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 …
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