Some Properties of Total Time on Test and Excess Wealth in Bivariate Cases

  • Mojtaba Esfahani Department of Statistics‎, ‎Ferdowsi University‎ ‎of Mashhad‎, ‎P‎. ‎O‎. ‎Box 1159‎, ‎Mashhad 91775‎, ‎Iran
  • Mohammad Amini Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran
  • Gholam Reza Mohtashami Borzadaran Department of Statistics‎, ‎Ferdowsi University‎ ‎of Mashhad‎, ‎P‎. ‎O‎. ‎Box 1159‎, ‎Mashhad 91775‎, ‎Iran
DOI: https://doi.org/10.19139/soic-2310-5070-1648
Keywords: Total Time on Test Transform, ‎Excess Wealth Transform, ‎Location Independent Riskier, ‎Copula, ‎Bivariate Aging Classes, ‎NBUT

Abstract

‎Most of the introduced transformations have many applications in reliability‎. ‎For example‎, ‎the total time on test (TTT) and excess wealth (EW) ‎transforms are useful concepts in various fields‎. ‎This paper presents bivariate TTT and EW transforms‎. ‎Also‎, ‎the bivariate location independent riskier (LIR) transform has been considered‎. ‎In addition‎, ‎we present the conditions for establishing the TTT transform ordering in the bivariate mode and its relationship with EW order and some stochastic orders‎. ‎Also‎, ‎we establish that the bivariate TTT transform order as well as the presentation of the new better than used in bivariate TTT transform class‎. ‎Finally‎, ‎we describe the relationship between TTT and EW transforms with aging classes in the bivariate mode‎.
Published
2025-08-11
How to Cite
Esfahani, M., Amini, M., & Mohtashami Borzadaran, G. R. (2025). Some Properties of Total Time on Test and Excess Wealth in Bivariate Cases. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-1648
Issue
Online First
Section
Research Articles
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