Linear Regression of Censored Length-biased Lifetimes
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Abstract:
Length-biased lifetimes may be collected in observational studies or sample surveys due to biased sampling scheme. In this article, we use a linear regression model, namely, the accelerated failure time model, for the population lifetime distributions in regression analysis of the length-biased lifetimes. It is discovered that the associated regression parameters are invariant under the length-biased sampling scheme. According to this discovery, we propose the quasi partial score estimating equations to estimate the population regression parameters. The proposed methodologies are evaluated and demonstrated by simulation studies and an application to actual data set.
Subject Area:
General Biostatistics, Statistical Models, Statistical Theory and Methods, Survival Analysis
Suggested Citation:
Ying Qing Chen and Yan Wang, "Linear Regression of Censored Length-biased Lifetimes" (July 18, 2005). UW Biostatistics Working Paper Series. Working Paper 258.
http://www.bepress.com/uwbiostat/paper258