A modified chi-square test for Bertholon model with censored data |
| |
Authors: | Sana Chouia Nacira Seddik-Ameur |
| |
Affiliation: | Laboratory of Probability and Statistics (LaPS), University Badji Mokhtar, Annaba, Algeria |
| |
Abstract: | In this work, we propose the construction of a chi-squared goodness-of-fit test in censored data case, for Bertholon model which can analyse various competing risks of failure or death. This test is based on a modification of the Nikulin-Rao-Robson (NRR) statistic proposed by Bagdonavicius and Nikulin (2011a Bagdonavicius, V., Nikulin, M. (2011a). Chi-squared tests for general composite hypotheses from censored samples. Comptes Rendus Mathématiques: Series I 349(3–4):219–223. [Google Scholar], 2011b Bagdonavicius, V., Nikulin, M. (2011b). Chi-squared goodness-of-fit test for right censored data. International Journal of Applied Mathematics and Statistics 24:30–50. [Google Scholar]) for censored data. We applied this test to numerical examples from simulated samples and real data. |
| |
Keywords: | Bertholon distribution Censored data Goodness-of-fit test Maximum likelihood estimation NRR statistic |
|
|