Approximate Normality of Low Degree Polynomials in Normal Independent Variables

In this paper, we emphasize that polynomials are asymptotically linear functions and show, through Monte Carlo methods, that when the variation coefficients are small, low degree polynomials in normal independent variables are approximately normal. An application which illustrates the approach is pr...

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Bibliographic Details
Main Author: Ferreira, Dário (author)
Other Authors: Ferreira, Sandra S. (author), Nunes, Célia (author), Ramos, Luís (author), Mexia, João T. (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10400.6/9140
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/9140
Description
Summary:In this paper, we emphasize that polynomials are asymptotically linear functions and show, through Monte Carlo methods, that when the variation coefficients are small, low degree polynomials in normal independent variables are approximately normal. An application which illustrates the approach is presented.