A Note on the Asymptotic Variance of Survival Function in the Semi-Markov Model
Data(s) |
01/04/1992
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Resumo |
In Malani and Neilsen (1992) we have proposed alternative estimates of survival function (for time to disease) using a simple marker that describes time to some intermediate stage in a disease process. In this paper we derive the asymptotic variance of one such proposed estimator using two different methods and compare terms of order 1/n when there is no censoring. In the absence of censoring the asymptotic variance obtained using the Greenwood type approach converges to exact variance up to terms involving 1/n. But the asymptotic variance obtained using the theory of the counting process and results from Voelkel and Crowley (1984) on semi-Markov processes has a different term of order 1/n. It is not clear to us at this point why the variance formulae using the latter approach give different results. |
Identificador | |
Publicador |
Collection of Biostatistics Research Archive |
Fonte |
U.C. Berkeley Division of Biostatistics Working Paper Series |
Tipo |
text |