A note on some preservation results on the Laplace transform ordering of residual lives

Article type: Research Article

Authors: Zamani, Z. | Mohtashami Borzadaran, G.R.^{; *} | Amini, M.

Affiliations: Department of Statistics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, P.O. Box 91775-1159, Mashhad, Iran

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: In this paper, we provide several preservation results for Laplace transform ordering of residual lives (Lt-rl) under the reliability operations convolutions, mixtures and series systems. We also show that this order is preserved under completely monotone transformations.

Keywords: Laplace transform, convolution, mixture, series systems, completely monotone function

DOI: 10.3233/RDA-170129

Journal: Risk and Decision Analysis, vol. 6, no. 3, pp. 225-229, 2017