Dai, Hongsheng and Fu, Bo (2012) 'A polar coordinate transformation for estimating bivariate survival functions with randomly censored and truncated data.' Journal of Statistical Planning and Inference, 142 (1). pp. 248-262. ISSN 0378-3758

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Abstract

This paper proposes a new estimator for bivariate distribution functions under random truncation and random censoring. The new method is based on a polar coordinate transformation, which enables us to transform a bivariate survival function to a univariate survival function. A consistent estimator for the transformed univariate function is proposed. Then the univariate estimator is transformed back to a bivariate estimator. The estimator converges weakly to a zero-mean Gaussian process with an easily estimated covariance function. Consistent truncation probability estimate is also provided. Numerical studies show that the distribution estimator and truncation probability estimator perform remarkably well. © 2011 Elsevier B.V.

Item Type:	Article
Uncontrolled Keywords:	Bivariate survival function; Censoring; Consistency; Correlated failure times; Inverse probability weighted estimator; Truncation
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor:	Elements
Depositing User:	Elements
Date Deposited:	12 Feb 2013 08:06
Last Modified:	15 Jan 2022 00:54
URI:	http://repository.essex.ac.uk/id/eprint/5496

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