<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Strongly mixed random errors in Mann's iteration algorithm for a contractive real function |
Publication Date: | 2017-05-31 |
Authors: |
- Hassina Arroudj
- Idir Arab - Abdelnasser Dahmani |
Abstract: | This work deals with the Mann’s stochastic iteration algorithm under α-mixing random errors. We establish the Fuk-Nagaev’s inequalities that enable us to prove the almost complete convergence with its corresponding rate of convergence. Moreover, these inequalities give us the possibility of constructing a confidence interval for the unique fixed point. Finally, to check the feasibility and validity of our theoretical results, we consider some numerical examples, namely a classical example from astronomy. |
Institution: | DMUC 17-29 |
Online version: | http://www.mat.uc.pt...prints/eng_2017.html |
Download: | Not available |