Stochastic comparison and monotonicity of inactive record values

被引:11
|
作者
Zhao, Peng [1 ]
Balakrishnan, N. [2 ]
机构
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
基金
中国国家自然科学基金;
关键词
GENERALIZED ORDER-STATISTICS; OF-N SYSTEMS; RESIDUAL LIFE; SPACINGS; DISTRIBUTIONS;
D O I
10.1016/j.spl.2008.10.002
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 study the inactive record values and carry out a stochastic comparison of these quantities from two independent samples. The results established here strengthen those of Amiripour et al. [Amiripour, F., Khaledi, B.-E.. Hu, T., Shojaei. R., 2009. Some new results on stochastic comparisons of record values, Communications in Statistics Theory and Methods (in press)]. We also describe the behavior of the IFR (DFR) class of life distributions through the stochastic monotonicity of the inactive record values. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:566 / 572
页数:7
相关论文
共 50 条
  • [1] Closure and monotonicity properties of nonhomogeneous poisson processes and record values
    Gupta, Ramesh C.
    KlRMANI, S.N.U.A.
    Probability in the Engineering and Informational Sciences, 1988, 2 (04) : 475 - 484
  • [2] Stochastic monotonicity and realizable monotonicity
    Fill, JA
    Machida, M
    ANNALS OF PROBABILITY, 2001, 29 (02): : 938 - 978
  • [3] Some univariate stochastic orders on record values
    Ahmadi, J
    Arghami, NR
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2001, 30 (01) : 69 - 74
  • [4] On stochastic orderings between residual record values
    Khaledi, Baha-Eldin
    Shojaei, Roohollah
    STATISTICS & PROBABILITY LETTERS, 2007, 77 (13) : 1467 - 1472
  • [5] Stochastic comparisons of record values based on their relative aging
    Kayid, Mohamed
    RICERCHE DI MATEMATICA, 2024,
  • [6] Some New Results on Stochastic Comparisons of Record Values
    Khaledi, Baha-Eldin
    Amiripour, Fariba
    Hu, Taizhong
    Shojaei, S. Roohollah
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (12) : 2056 - 2066
  • [7] A remark on stochastic monotonicity
    Braverman, M
    STATISTICS & PROBABILITY LETTERS, 1996, 26 (03) : 259 - 262
  • [8] Testing for Stochastic Monotonicity
    Lee, Sokbae
    Linton, Oliver
    Whang, Yoon-Jae
    ECONOMETRICA, 2009, 77 (02) : 585 - 602
  • [9] Stochastic Monotonicity in Queueing Networks
    Castel-Taleb, H.
    Pekergin, N.
    COMPUTER PERFORMANCE ENGINEERING, PROCEEDINGS, 2009, 5652 : 116 - +
  • [10] Stochastic monotonicity and conditioning in the limit
    Nerman, O
    SCANDINAVIAN JOURNAL OF STATISTICS, 1998, 25 (03) : 569 - 572