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Determination of the Renewal Function of Some Renewal Processes
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Shahram Mansouri *   |
| shahid beheshty |
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Abstract: (2521 Views) |
| There is a one to one correspondence between renewal function and the probability density function of the times of observations of the successive occurrences of each renewal process. Furthermore, practical application of renewal processes requires renewal function information, and this function plays an essential role in the study of renewal processes behavior by which predictions could be made. In this paper, the renewal functions corresponding with two distributions with the times of successive observations distributed by Erlang (n,lambda) , and uniform (0,b) are determined by Laplace transform and its theorems. Finally, an application of the renewal process is presented in physics. |
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| Keywords: Laplace Transformation, Renewal Process, Renewal Function. |
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Full-Text [PDF 286 kb]
(873 Downloads)
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Type of Study: Research |
Subject:
Special
Received: 2018/11/15 | Accepted: 2019/09/21 | Published: 2019/10/22
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