A note on stochastic comparisons of excess lifetimes of renewal processes

被引:19
作者
Belzunce, F [1 ]
Ortega, EM
Ruiz, JM
机构
[1] Univ Murcia, Dept Estadist & Invest Operat, E-30100 Murcia, Spain
[2] Univ Miguel Hernandez, Ctr Invest Operat, Alicante 03202, Spain
关键词
renewal processes; excess lifetime; NBU; NBUE; NBUC; NBU(2); NBULt ageing classes; series systems;
D O I
10.1017/S0021900200018891
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we provide new results about stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to several ageing classes. We also provide a preservation result for the new better than used in the Laplace transform order ageing class for series systems.
引用
收藏
页码:747 / 753
页数:7
相关论文
共 50 条
  • [1] STOCHASTIC COMPARISONS OF EXCESS LIFETIMES OF RENEWAL PROCESSES BASED UPON GENERALIZED STOCHASTIC ORDERINGS
    Wang, Wen-Xin
    Ma, Yan-Peng
    ADVANCES AND APPLICATIONS IN STATISTICS, 2008, 9 (02) : 283 - 292
  • [2] Generalized orderings of excess lifetimes of renewal processes
    Félix Belzunce
    Asok K. Nanda
    Eva-María Ortega
    José M. Ruiz
    TEST, 2008, 17 : 297 - 310
  • [3] Generalized orderings of excess lifetimes of renewal processes
    Belzunce, Felix
    Nanda, Asok K.
    Ortega, Eva-Maria
    Ruiz, Jose M.
    TEST, 2008, 17 (02) : 297 - 310
  • [4] Stochastic resonance of non-Markovian renewal processes
    Hu, Minghui
    Shao, Huihe
    MODERN PHYSICS LETTERS B, 2008, 22 (02): : 147 - 154
  • [5] Statistical-mechanical structure for renewal stochastic processes
    Velazquez, Jorge
    Robledo, Alberto
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2012, 26 (02): : 3 - 15
  • [6] On the Exiting Patterns of Multivariate Renewal-Reward Processes with an Application to Stochastic Networks
    White, Ryan T.
    SYMMETRY-BASEL, 2022, 14 (06):
  • [7] A note on some new renewal ageing notions
    Bon, JL
    Illayk, A
    STATISTICS & PROBABILITY LETTERS, 2002, 57 (02) : 151 - 155
  • [8] Stochastic comparisons of coherent systems with active redundancy at the component or system levels and component lifetimes following the accelerated life model
    Panja, Arindam
    Kundu, Pradip
    Pradhan, Biswabrata
    APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, 2024, 40 (02) : 446 - 461
  • [9] THICKENED RENEWAL PROCESSES
    DONEY, RA
    OBRIEN, GL
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1992, 43 (01) : 1 - 8
  • [10] A GENERALIZATION OF RENEWAL PROCESSES
    SAHIN, I
    OPERATIONS RESEARCH LETTERS, 1993, 13 (04) : 259 - 263