Chi-squared goodness-of-fit tests for the generalized Rayleigh distribution
In this article, we propose the construction of modified chi-squared goodness-of-fit tests for the generalized Rayleigh distribution for both complete and censored data. These tests are based on the Nikulin–Rao–Robson (NRR) statistic and its modification proposed for right-censored data by Bagdonavičius and Nikulin. Numerical examples of simulated samples and real data are given to illustrate the usefulness of the proposed tests.
KeywordsCensored data chi-squared test generalized Rayleigh distribution maximum likelihood estimation NRR statistic
AMS Subject Classification62E15 62F03 62G05 62G10 62N05
Unable to display preview. Download preview PDF.
- Al-Khedhairi, A., A. Sarhan, and L. Tadj. 2007. Estimation of the generalized Rayleigh distribution parameter. International Journal of Reliability and Applications 12:199–210.Google Scholar
- Rao, G. S. 2014. Estimation of reliability in multicomponent stress-strength based on generalized Rayleigh distribution. Journal of Modern Applied Statistical Methods 13 (1):article 24. https://doi.org/digitalcommons.wayne.edu/jmasm/vol13/iss1/24.CrossRefGoogle Scholar