title: A Weibull-based score test for heterogeneity.
abstract: The Weibull distribution is a natural starting point in the modelling of failure times in reliability, material strength data and many other applications that involve lifetime data. In recent years there has been a growing interest in modelling heterogeneity within this context. A natural approach is to consider a mixture, either discrete or continuous, of Weibull distributions. A judicious choice of mixing distribution yields a tractable and flexible generalization of the Weibull distribution. In this note a score test for detecting heterogeneity in this context is discussed and illustrated using some infant nutrition data.
authors.affiliation: Department of Mathematical and Computing Sciences, University of Surrey, Guildford, UK. a.kimber@surrey.ac.uk
authors.forename: A C
authors.initials: AC
authors.lastname: Kimber
mesh_terms: D000367:Age Factors; D001699:Biometry; D001942:Breast Feeding; D003627:Data Interpretation, Statistical; D005260:Female; D005512:Food Hypersensitivity / Q000209:etiology; D006801:Humans; D007223:Infant; D007227:Infant Nutritional Physiological Phenomena; D015993:Life Tables; D016013:Likelihood Functions; D015233:Models, Statistical