On survival assumptions between integer ages in the theory of competing risks

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dc.contributor.authorBaek, HyeYoun
dc.contributor.authorBangwon Ko
dc.contributor.authorHangsuck Lee
dc.date.accessioned2017-01-25T04:07:41Z
dc.date.available2017-01-25T04:07:41Z
dc.date.issued2016-12-31
dc.identifier.issn1226-3192
dc.identifier.urihttp://repository.kihasa.re.kr/handle/201002/24894
dc.description.abstractCalculating survival probabilities based on a multiple decrement life table often requires additional information at arbitrary non-integer ages or conversion formula between multiple decrement probabilities and absolute decrement rates. However, due to the discrete characteristic of the table, it is necessary to impose a certain distributional assumption about the decrements between integer ages such as the uniform distribution of decrements (UDD) or the constant forces (CF) of decrement. In this paper, inspired by the fractional independence (FI) assumption in Willmot (1997), we intend to generalize the commonly used fractional age assumptions and investigate their relationships. In particular, we are interested in relaxing the assumptions while inheriting the same conversion formula from the UDD or the CF assumption. Numerical examples show that our generalization facilitates the investigation of conversion errors caused by incorrectly using the formula when the fractional age assumption is misspecified.
dc.format.extent14
dc.languageeng
dc.publisher한국통계학회
dc.titleOn survival assumptions between integer ages in the theory of competing risks
dc.typeArticle
dc.type.localArticle(Academic)
dc.identifier.apprname학술논문평가
dc.subject.keywordAbsolute decrement rates
dc.subject.keywordCommon distribution of decrements
dc.subject.keywordMultiple decrement probabilities
dc.subject.keywordProportional forces of decrement
dc.contributor.affiliatedAuthor백혜연
dc.citation.titleJournal of the Korean Statistical Society
dc.citation.volume45
dc.citation.number4
dc.citation.startPage633
dc.citation.endPage646
dc.identifier.bibliographicCitationJournal of the Korean Statistical Society, vol. 45, no. 4, pp. 633 - 646
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