Please use this identifier to cite or link to this item:
|Title:||Some analytical and numerical bounds on the renewal function|
|Citation:||Ran, L., Cui, L., Xie, M. (2006-10-01). Some analytical and numerical bounds on the renewal function. Communications in Statistics - Theory and Methods 35 (10) : 1815-1827. ScholarBank@NUS Repository. https://doi.org/10.1080/03610920600728443|
|Abstract:||Renewal-type equations are frequently encountered in the study of reliability, warranty analysis, replacement and maintenance policies, and inventory control. Renewal equations usually do not have analytical solutions, and hence, bounds or approximations are very useful. In this article, analytical bounds are studied based on a simple iterative procedure which provides some analytical results and nice convergence properties when the number of iteration increases. Bounds and approximations are also investigated for a recursive algorithm for numerical computation. In addition, some interesting monotonicity properties are introduced and discussed. The approximation error, which is important for determining the stopping rule of the iterative procedure and the numerical algorithm, is also studied.|
|Source Title:||Communications in Statistics - Theory and Methods|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 12, 2019
WEB OF SCIENCETM
checked on Jan 2, 2019
checked on Dec 7, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.