Repository logo
 
Publication

Skewness into the product of two normally distributed variables and the risk consequences

2016-02Journal article Open access
Simple item page
dc.contributor.authorOliveira, Amilcar
dc.contributor.authorOliveira, Teresa A.
dc.contributor.authorSeijas-Macias, J. Antonio
dc.date.accessioned2021-05-11T13:34:11Z
dc.date.available2021-05-11T13:34:11Z
dc.date.issued2016-02
dc.description.abstractThe analysis of skewness is an essential tool for decision-making since it can be used as an indicator on risk assessment. It is well known that negative skewed distributions lead to negative outcomes, while a positive skewness usually leads to good scenarios and consequently minimizes risks. In this work the impact of skewness on risk analysis will be explored, considering data obtained from the product of two normally distributed variables. In fact, modelling this product using a normal distribution is not a correct approach once skewness in many cases is different from zero. By ignoring this, the researcher will obtain a model understating the risk of highly skewed variables and moreover, for too skewed variables most of common tests in parametric inference cannot be used. In practice, the behaviour of the skewness considering the product of two normal variables is explored as a function of the distributions parameters: mean, variance and inverse of the coefficient variation. Using a measurement error model, the consequences of skewness presence on risk analysis are evaluated by considering several simulations and visualization tools using R software.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.issn1645-6726
dc.identifier.urihttp://hdl.handle.net/10400.2/10717
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherINEpt_PT
dc.relationCentre of Statistics and its Applications
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectProduct of normal variablespt_PT
dc.subjectInverse coefficient of variationpt_PT
dc.subjectSkewnesspt_PT
dc.subjectProbability risk analysispt_PT
dc.subjectMeasurement error modelpt_PT
dc.titleSkewness into the product of two normally distributed variables and the risk consequencespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentre of Statistics and its Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00006%2F2013/PT
oaire.citation.endPage138pt_PT
oaire.citation.startPage119pt_PT
oaire.citation.titleREVSTAT – Statistical Journalpt_PT
oaire.citation.volume14(2)pt_PT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameOliveira
person.familyNameOliveira
person.familyNameSeijas-Macias
person.givenNameAmilcar
person.givenNameTeresa A.
person.givenNameJ. Antonio
person.identifier1155497
person.identifier.ciencia-id7110-61B4-B87F
person.identifier.ciencia-id8814-A54B-12DE
person.identifier.ciencia-id3717-BC82-53C2
person.identifier.orcid0000-0001-5500-7742
person.identifier.orcid0000-0003-3283-9946
person.identifier.orcid0000-0002-6056-3257
person.identifier.ridJ-3077-2019
person.identifier.scopus-author-id55675222550
person.identifier.scopus-author-id54403540300
person.identifier.scopus-author-id57194105655
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication1c873476-22fd-4331-8286-ff5576ac3b0c
relation.isAuthorOfPublication82b3cd70-88cc-4d31-b4b0-4705f8496c67
relation.isAuthorOfPublication4c04d3df-9b7d-4a0c-b5c3-74b47a7fa0a2
relation.isAuthorOfPublication.latestForDiscovery4c04d3df-9b7d-4a0c-b5c3-74b47a7fa0a2
relation.isProjectOfPublicationd32a443d-047e-4466-bf72-74391bea1db7
relation.isProjectOfPublication.latestForDiscoveryd32a443d-047e-4466-bf72-74391bea1db7

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
4. rs160202.pdf
Size:
967.97 KB
Format:
Adobe Portable Document Format
Download

Collections

Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals