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
  • [11] Rumor Processes on and Discrete Renewal Processes
    Gallo, Sandro
    Garcia, Nancy L.
    Vargas Junior, Valdivino
    Rodriguez, Pablo M.
    JOURNAL OF STATISTICAL PHYSICS, 2014, 155 (03) : 591 - 602
  • [12] Two limit theorems for queueing systems around the convergence of stochastic integrals with respect to renewal processes
    Yamada, K
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 80 (01) : 103 - 128
  • [13] Pairs of renewal processes whose superposition is a renewal process
    Ferreira, JA
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2000, 86 (02) : 217 - 230
  • [14] Exponential and Pareto-type bounds for the renewal function and the excess lifetime of a renewal process
    Chadjiconstantinidis, Stathis
    STATISTICS, 2024, 58 (06) : 1443 - 1462
  • [15] Statistical Inference for Renewal Processes
    Comte, F.
    Duval, C.
    SCANDINAVIAN JOURNAL OF STATISTICS, 2018, 45 (01) : 164 - 193
  • [16] LARGE DEVIATIONS FOR RENEWAL PROCESSES
    JIANG, TF
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1994, 50 (01) : 57 - 71
  • [17] Statistics of the Occupation Time of Renewal Processes
    C. Godrèche
    J. M. Luck
    Journal of Statistical Physics, 2001, 104 : 489 - 524
  • [18] Random fuzzy delayed renewal processes
    Shunqin Li
    Qiang Shen
    Wansheng Tang
    Ruiqing Zhao
    Soft Computing, 2009, 13 : 681 - 690
  • [19] Statistics of the occupation time of renewal processes
    Godrèche, C
    Luck, JM
    JOURNAL OF STATISTICAL PHYSICS, 2001, 104 (3-4) : 489 - 524
  • [20] Random fuzzy delayed renewal processes
    Li, Shunqin
    Shen, Qiang
    Tang, Wansheng
    Zhao, Ruiqing
    SOFT COMPUTING, 2009, 13 (07) : 681 - 690