On the residues vectors of a rational class of complex functions. Application to autoregressive processes
Econometrics
2019-07-16 v1
Abstract
Complex functions have multiple uses in various fields of study, so analyze their characteristics it is of extensive interest to other sciences. This work begins with a particular class of rational functions of a complex variable; over this is deduced two elementals properties concerning the residues and is proposed one results which establishes one lower bound for the p-norm of the residues vector. Applications to the autoregressive processes are presented and the exemplifications are indicated in historical data of electric generation and econometric series.
Keywords
Cite
@article{arxiv.1907.05949,
title = {On the residues vectors of a rational class of complex functions. Application to autoregressive processes},
author = {Guillermo Daniel Scheidereiter and Omar Roberto Faure},
journal= {arXiv preprint arXiv:1907.05949},
year = {2019}
}