A semi-parametric regression model for analysis of middle censored lifetime data

Middle censoring introduced by Jammalamadaka and Mangalam (2003), refers to data arising in situations where the exact lifetime becomes unobservable if it falls within a random censoring interval, otherwise it is observable. In the present paper we propose a semi-parametric regression model for such...

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Bibliographic Details
Main Authors: Sreenivasa Rao Jammalamadaka, Sundaresan Nair Prasad, Paduthol Godan Sankaran
Format: Article
Language:English
Published: University of Bologna 2016-03-01
Series:Statistica
Subjects:
Online Access:https://rivista-statistica.unibo.it/article/view/6281
Description
Summary:Middle censoring introduced by Jammalamadaka and Mangalam (2003), refers to data arising in situations where the exact lifetime becomes unobservable if it falls within a random censoring interval, otherwise it is observable. In the present paper we propose a semi-parametric regression model for such lifetime data, arising from an unknown population and subject to middle censoring. We provide an algorithm to find the nonparametric maximum likelihood estimator (NPMLE) for regression parameters and the survival function. The consistency of the estimators are established. We report simulation studies to assess the finite sample properties of the estimators. We then analyze a real life data on survival times for diabetic patients studied by Lee et al. (1988).
ISSN:0390-590X
1973-2201