QA529 : Limit theoremes for linear processes with random coefficients
Thesis > Central Library of Shahrood University > Mathematical Sciences > PhD > 2019
Authors:
Abstarct: Researchers have investigated the effects of limit theoremes on linear processes. Many of these results have been demonstrated for linear processes with constant coefficients. Linear processes with random coefficients are a more extended form of linear processes with constant coefficients. In most circumstances in practice and nature, since there are conditions that the independent random variables can not be considered, we investigate the limit theorems for linear processes with random coefficients that contain extended negatively dependent random variables. The purpose of this dissertation is the study of the strong law of large numbers, convergence rate of the strong laws and the Marcinkiewicz-Zygmund, and complete moment convergence for linear processes with random coefficients that contain extended negatively dependent random variables. The results of this dissertation causes the expansion of the results that have been obtained by now.
Keywords:
#Strong laws of large numbers #Convergence rate #Marcinkiewicz–Zygmund law of large numbers #Complete moment convergence #Extended negatively dependent random variables #Linear processes #Random coefficients
Keeping place: Central Library of Shahrood University
Visitor:
Keeping place: Central Library of Shahrood University
Visitor: