Let N=N(t) and Z=Z(t) be independent processes with continuous time (the process N(t) is gaussian one). Let us designate ε-entropy per time unit of the process N+θZ with respect to the mean-square accuracy criterion as Hε(N+ΘZ). It is shown that, when Z is entropy-regular process, a limit of [Hε(N+ΘZ)-Nε(N)] exists in Θ values tending to infinity which is called as ε-entropy sensitivity. An explicit expression is obtained for this limit through the terms of spectral densities of processes N and Z. Analogous results for processes with discrete times were obtained earlier.
|Original language||English (US)|
|Number of pages||1|
|Journal||Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh|
|State||Published - Mar 1 1997|
All Science Journal Classification (ASJC) codes
- Geotechnical Engineering and Engineering Geology
- Metals and Alloys