An additive risks regression model for middle-censored lifetime data

P. G.  Sankaran; S.  Prasad

doi:https://doi.org/10.59170/stattrans-2017-024

An additive risks regression model for middle-censored lifetime data

P. G. Sankaran Department of Statistics, Cochin University of Science and Technology, Kerala, India. , S. Prasad Department of Statistics, Cochin University of Science and Technology, Kerala, India. Statistics in Transition new series, vol. 18, 2017, 3, pages: 459-479 Published online: 1 September 2017 https://doi.org/10.59170/stattrans-2017-024

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ABSTRACT

Middle-censoring refers to data arising in situations where the exact lifetime of study subjects becomes unobservable if it happens to fall in a random censoring interval. In the present paper we propose a semiparametric additive risks regression model for analysing middle-censored lifetime data arising from an unknown population. We estimate the regression parameters and the unknown baseline survival function by two different methods. The first method uses the martingale-based theory and the second method is an iterative method. We report simulation studies to assess the finite sample behaviour of the estimators. Then, we illustrate the utility of the model with a real life data set. The paper ends with a conclusion

KEYWORDS

additive risks model, counting process, martingales, middle-censoring

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