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:: Volume 24, Issue 1 (9-2019) ::
Andishe 2019, 24(1): 43-49 Back to browse issues page
Determination of the Renewal Function of Some Renewal Processes
Shahram Mansouri Dr. *
shahid beheshty
Abstract:   (657 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.
Keywords: ‎Laplace Transformation‎, ‎Renewal Process‎, ‎Renewal Function‎.
Full-Text [PDF 286 kb]   (131 Downloads)    
Type of Study: Research | Subject: Special
Received: 2018/11/15 | Accepted: 2019/09/21 | Published: 2019/10/22
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mansouri S. Determination of the Renewal Function of Some Renewal Processes. Andishe. 2019; 24 (1) :43-49
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Volume 24, Issue 1 (9-2019) Back to browse issues page
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