An Introduction to the Accelerate Tests With Log-Non-Linear Stres-Response Relationship

 Gleici Castro PERDON[1]




§    ABSTRACT: Accelerated life tests are usually used as time and cost efficient reliability industrial experiments. They consist of submitting items to levels of stress higher than the usual working conditions. The main interest of such experiments is to obtain measures of the reliability of the devices under the usual working conditions via data obtained under stress levels. Usually the deterministic compon ent of an accelerated life tests model, known as stress-response relationship, which relates the mean lifetime (or a function of this parameter) to the stress levels, is log-linear. In this paper we propose an accelerated life tests model with a log-non-linear stress-response relationship. The advantage of such a formulation is that the general framework accommodates several stress-response relationship usually considered on accelerated life tests, while is enough flexible for fitting the data that cannot be accommodate by a simple log-linear stressresponse relationship. Classical estimation procedures are presented, including bootstrap tests based on the modified score statistics and the likelihood ratio statistics for testing the effect of a covariate.

§    KEYWORDS: Accelerate Life Tests, Bootstrap, Exponential Distribution, Inferential Procedures, Log-Non-Linear Stress-Response Relationship.


[1] 1Departamento de Medicina Social, Faculdade de Medicina de Ribeirão Preto da Universidade de São Paulo, CEP 14049-900, Ribeirão Preto, SP, E-mail:

2Departamento de Estatística, Universidade Federal de São Carlos, CP 676,

CEP: 13565-905, São Carlos, SP, E-mail: