A polar coordinate transformation for estimating bivariate survival functions with randomly censored and truncated data
DAI, HONGSHENG and Fu, B. (2011) 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
Full text not available from this repository.
Official URL: http://www.sciencedirect.com/science/article/pii/S...
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.
Repository Staff Only: item control page