title: A probabilistic approach to the construction of competing-risk life tables.
abstract: "This paper aims to identify net and partial-crude probabilities in the competing-risk life table context, by using probabilistic approaches. Five types of lifelength random variables are defined to formulate these nonidentifiable probabilities.  General expressions for net and partial-crude probabilities are first derived under independent risks assumptions.  Two sets of explicit formulas for estimating the net and partial-crude probabilities are then derived in terms of the identifiable overall and crude probabilities by making the additional assumption of piecewise uniform distribution of the lifelength random variables.  A study of the degree to which nonidentifiability can affect the net and partial-crude probabilities in a variety of situations is developed.  An example from cross-sectional studies is employed to illustrate the methodology developed."
authors.forename: J J
authors.initials: JJ
authors.lastname: Hsieh
mesh_terms: D001695:Biology; D003710:Demography; D015993:Life Tables; D008962:Models, Theoretical; D011336:Probability; D012106:Research; D012307:Risk Factors; D013223:Statistics as Topic
keywords: Biology; Demographic Analysis; Estimation Technics; Life Table Method; Life Tables; Models, Theoretical; Probability; Research Methodology; Risk Factors; Statistical Studies; Studies; World