Chi-squared goodness-of-fit for parametric accelerated failure time models

Mikhail Nikulin (1) , V. Bagdonavicius (2) , R. Levuliene (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 Department of Mathematics and Informatics [Vilnius]

We give chi-squared goodness-of fit tests for parametric regression models such as accelerated failure time, proportional hazards, generalized proportional hazards, frailty models, transformation models, and models with cross-effects of survival functions. Random right censored data are used. Choice of random grouping intervals as data functions is considered.

Mots clés: Accelerated failure time model; Censoring; Chi\-squared test; Exponential distribution; Goodness\-of\-fit; Loglogistic distribution; Lognormal distribution; Parametric model; Random cells; Regression models; Scale and shape family; Weibull distribution

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Mikhail Nikulin, V. Bagdonavicius, R. Levuliene. Chi-squared goodness-of-fit for parametric accelerated failure time models. Communications in Statistics - Theory and Methods, 2013, 42 (9), pp.2768-2785. ⟨10.1080/03610926.2011.617483⟩. ⟨hal-00992342⟩