Article ID: | iaor199741 |
Country: | United Kingdom |
Volume: | 27 |
Issue: | 4 |
Start Page Number: | 1079 |
End Page Number: | 1103 |
Publication Date: | Dec 1995 |
Journal: | Advances in Applied Probability |
Authors: | Shaked Moshe, Szekli Ryszard |
Keywords: | control processes, stochastic processes |
First, some basic concepts from the theory of point processes are recalled and expanded. Then some notions of stochastic comparisons, which compare whole processes, are introduced. The use of these notions is illustrated by stochastically comparing renewal and related processes. Finally, applications of the different notions of stochastic ordering of point processes to many replacement policies are given.