A characterization and sufficient conditions for the total time on test transform order

• Félix Belzunce ^[1] ; Carolina Martínez-Riquelme ^[1] ; José M. Ruiz
  1. [1] Universidad de Murcia

     Universidad de Murcia

     Murcia, España

     
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 23, Nº. 1, 2014, págs. 72-85
• Idioma: inglés
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• Resumen

  • The total time on test transform has been used in reliability to compare two random lifetimes. Despite that it has been used widely in this context, it is not very clear in which sense the random variables are being compared. In this paper we provide a characterization which reveals the true nature of this comparison. Given that this comparison is of particular interest when the stochastic order does not hold, we also provide sufficient conditions for the comparisons of the total time on test transforms, when the stochastic order does not hold. Applications to the comparison of several parametric families of distributions are provided