Article ID: | iaor20013001 |
Country: | United Kingdom |
Volume: | 36 |
Issue: | 2 |
Start Page Number: | 570 |
End Page Number: | 584 |
Publication Date: | Jun 1999 |
Journal: | Journal of Applied Probability |
Authors: | Willmot Gordon E. |
Keywords: | risk |
For a class of renewal queueing processes characterized by a rational Laplace–Stieltjes transform of the arrival inter-occurrence time distribution, the Laplace–Stieltjes transform of the equilibrium (actual) waiting time distribution is re-expressed in a manner which facilitates explicit inversion under certain conditions. The results are of interest in other contexts as well, as for example in insurance ruin theory. Various analytic properties of these quantities are then obtained as a result.