A modified chi-square test for Bertholon model with censored data

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, 2011b) 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

MATHEMATICS SUBJECT CLASSIFICATION:

• 62F03
• 62G10
• 62N02
• 62N05