The Slash Half-Normal Distribution Applied to a Cure Rate Model with Application to Bone Marrow Transplantation

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datacite.alternateIdentifier.citationMATHEMATICS,Vol.11,,2023
datacite.alternateIdentifier.doi10.3390/math11030518
datacite.creatorGallardo, Diego I.
datacite.creatorGomez, Yolanda M.
datacite.creatorGomez, Hector J.
datacite.creatorGallardo Nelson, Maria Jose
datacite.creatorBourguignon, Marcelo
datacite.date2023
datacite.subject.englishhalf-normal distribution
datacite.subject.englishkurtosis
datacite.subject.englishpower series
datacite.subject.englishblood and marrow transplantation
datacite.titleThe Slash Half-Normal Distribution Applied to a Cure Rate Model with Application to Bone Marrow Transplantation
dc.date.accessioned2023-06-08T15:48:17Z
dc.date.available2023-06-08T15:48:17Z
dc.description.abstractThis paper proposes, for the first time, the use of an asymmetric positive and heavy-tailed distribution in a cure rate model context. In particular, it introduces a cure-rate survival model by assuming that the time-to-event of interest follows a slash half-normal distribution and that the number of competing causes of the event of interest follows a power series distribution, which defines six new cure rate models. Several properties of the model are derived and an alternative expression for the cumulative distribution function of the model is presented, which is very useful for the computational implementation of the model. A procedure based on the expectation-maximization algorithm is proposed for the parameter estimation. Two simulation studies are performed to assess some properties of the estimators, showing the good performance of the proposed estimators in finite samples. Finally, an application to a bone marrow transplant data set is presented.
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/5334
dc.language.isoen
dc.publisherMDPI
dc.sourceMATHEMATICS
oaire.resourceTypeWOS
oaire.resourceType.enArticle
uct.indizacionSCI
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