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On dependence estimation using correlated failure time data from case-control family studies

Correlated failure time data arise routinely in case-control family studies. To measure the dependence between bivariate failure times, a cross ratio, i.e. conditional hazard ratio, function has been used. Many approaches, ranging from estimating equations to likelihood score equations, have been proposed for the estimation of parameters in the cross ratio function from prospective family data. However, the adaptation of these approaches to case-control family data appears…

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A generalisation of the Mantel-Haenszel test to bivariate failure time data

Mantel–Haenszel 检验向二元失效时间数据的推广

SUMMARY This paper presents a class of Mantel & Haenszel (1959) type statistics for testing independence between pairs of failure times. This class is extended to include a weight function in order to enhance test power. Large sample distributions of these statistics are given under the null hypothesis of independence. The paper also presents a simplified test, the covariance test, which is asymptotically equivalent to the Mantel-Haenszel-type test. In order to account for…

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On assessing the strength of dependency between failure time variates

失效时间变量间依赖强度的评估

The correlation p between cumulative hazard variates is considered as a measure of dependence between pairs of failure time variates. Such correlation is readily estimated in the absence of censorship, but modelling assumptions are required for its estimation in the presence of independent right censorship. A semiparametric class of bivariate failure time models, in which a dependence parameter is in one-to-one correspondence with the cumulative hazard variate correlation p,…

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