Testing in Nonparametric Accelerated Life Time Models

where T0 is the so-called baseline life time and T is the observable life time. We will assume that T is an absolute continuous random variable (r.v.) and that the covariate X does not depend on the time. For simplicity of presentation let X be one-dimensional. For statistical application a suitable choice of the acceleration function is important and the problem of testing ψ arises. A survey of test procedures for testing ψ under different model assumptions is given in Liero and Liero (2008). The aim of the present paper is to propose and to discuss in more detail test procedures for testing whether the function ψ belongs to a pre-specified parametric class of functions