## Electronic Journal of Statistics

### A goodness of fit test for the survival function under random right censoring

#### Abstract

The present article contributes a goodness of fit test for the survival function under random right censoring. The test is based on a central limit theorem for the Integrated Square Error of an already existing in the literature kernel survival function estimate. Establishment of its asymptotic distribution yields the proposed test statistic for drawing decision on the null hypothesis of correctness of the assumed survival function. Numerical simulations quantify the empirical nominal level and power of the suggested test for various sample sizes and amounts of censoring and facilitate comparison with the power of the data driven Neyman goodness of fit test for censored samples.

#### Article information

Source
Electron. J. Statist., Volume 7 (2013), 2550-2576.

Dates
First available in Project Euclid: 8 October 2013

https://projecteuclid.org/euclid.ejs/1381239961

Digital Object Identifier
doi:10.1214/13-EJS853

Mathematical Reviews number (MathSciNet)
MR3117106

Zentralblatt MATH identifier
1294.62091

Subjects
Primary: 62G10: Hypothesis testing
Secondary: 62N03: Testing

#### Citation

Bagkavos, Dimitrios; Ioannides, Dimitrios; Kalamatianou, Aglaia. A goodness of fit test for the survival function under random right censoring. Electron. J. Statist. 7 (2013), 2550--2576. doi:10.1214/13-EJS853. https://projecteuclid.org/euclid.ejs/1381239961

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