THICKENED RENEWAL PROCESSES

被引：1
作者：
DONEY, RA [1 ]
OBRIEN, GL [1 ]
机构：
[1] YORK UNIV,N YORK,ONTARIO,CANADA
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1992年 / 43卷 / 01期
关键词：
RENEWAL PROCESSES; CONDITIONED WEAK LIMITS; BUSY PERIODS;
D O I：
10.1016/0304-4149(92)90072-X
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：
Let {t(i) i greater-than-or-equal-to 0} be an ordinary renewal process and assume the lifetime distribution function has the form F(x) = cx(alpha)(1 + lambdax + o(x)) near 0+. The asymptotic conditional distribution as n --> infinity of {nt(i) i greater-than-or-equal-to 0}, given that t(n) less-than-or-equal-to 1, is that of a renewal process with a gamma lifetime distribution depending only on alpha.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
  • [21] Web renewal counting processes and their applications in insurance
    Li, Rong
    Bi, Xiuchun
    Zhang, Shuguang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [22] 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
  • [23] Stochastic resonance of non-Markovian renewal processes
    Hu, Minghui
    Shao, Huihe
    MODERN PHYSICS LETTERS B, 2008, 22 (02): : 147 - 154
  • [24] A note on stochastic comparisons of excess lifetimes of renewal processes
    Belzunce, F
    Ortega, EM
    Ruiz, JM
    JOURNAL OF APPLIED PROBABILITY, 2001, 38 (03) : 747 - 753
  • [25] Statistical-mechanical structure for renewal stochastic processes
    Velazquez, Jorge
    Robledo, Alberto
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2012, 26 (02): : 3 - 15
  • [26] Aging Renewal Point Processes and Exchangeability of Event Times
    Vanni, Fabio
    Lambert, David
    MATHEMATICS, 2024, 12 (10)
  • [27] Large deviation principles for renewal-reward processes
    Zamparo, Marco
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2023, 156 : 226 - 245
  • [28] Efficiency of Influencing of Sauna on the Processes of Renewal of Capacity of Boxers
    Varvinskaya, N. A.
    Tatarinov, S. I.
    Varvinskiy, V. B.
    PEDAGOGICS PSYCHOLOGY MEDICAL-BIOLOGICAL PROBLEMS OF PHYSICAL TRAINING AND SPORTS, 2007, 6 : 47 - 48
  • [29] Convergence of scaled renewal processes and a packet arrival model
    Gaigalas, R
    Kaj, I
    BERNOULLI, 2003, 9 (04) : 671 - 703
  • [30] Renewal processes linked to fractional relaxation equations with variable order
    Beghin, Luisa
    Cristofaro, Lorenzo
    Garrappa, Roberto
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
12345