Abstract:
The famous chi-square test of Pearson is well known, but different modifications of this test are not so well known. The theory of the chi-squared tests is developed very actively till now, especially in accelerated trials. We shall discuss here some applications of the theory of chi-squared tests in reliability and survival analysis for parametric regression models with time depending covariates when data are right censored.
Key words and phrases:chi-squared test, complete data, composite hypothesis, Fisher's information, goodness-of-fit, maximum likelihood estimator, parametric hypothesis, random cells, regression models, reliability, right censored data, simple sample, survival analysis.