The power-generalized Weibull probability distribution and its use in survival analysis

Roza Alloyarova (1) , Mikhail Nikulin (2) , Natalie Pya (1) , Vassily Voinov (1)

1 KIMEP, Almaty, Kazakhstan
2 IMB - Institut de Mathématiques de Bordeaux

Modified chi-squared tests ffor the Power-Generalized Weibull Probability Distribution based on moment type estimators are considered. Power of these tests are investigated.

Mots clés: Hypotheses testing; maximum likelihood estimator; moment type estimator; modified chi-squared test; three-parameter Weibull distribution; Generalized Weibull distribution; Power-generalized Weibull probability distribution; Reliability; Survival analysi

Domaines: Statistiques [math.ST]; Théorie [stat.TH]; Méthodologie [stat.ME]; Applications [stat.AP]

Roza Alloyarova, Mikhail Nikulin, Natalie Pya, Vassily Voinov. The power-generalized Weibull probability distribution and its use in survival analysis. Communications in Deopendability and Quality Manageement, 2007, 10 (1), pp.5-15. ⟨hal-00225387⟩