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The estimation for the general additive–multiplicative hazard model using the length-biased survival data

Chengbo Li () and Yong Zhou
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Chengbo Li: Dongbei University of Finance and Economics
Yong Zhou: Ministry of Education

Statistical Papers, 2021, vol. 62, issue 1, No 4, 53-74

Abstract: Abstract We use the general additive–multiplicative hazard model to analyze the length biased data with right censorship and use the estimating equation method that incorporates the information about length-biased sampling scheme to do the inference. In addition, some graphical and numerical methods are developed for assessing the adequacy of the general additive–multiplicative hazard model. The procedures are derived from cumulative sums of martingale-based residuals over follow-up time and covariate values. The simulations are conducted to insure the good performance of this method. An application to the Oscar data is also illustrated.

Keywords: Composite estimator; General additive–multiplicative hazard model; Length biased sampling; Martingale; Model checking (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00362-018-01079-3

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