The inspection paradox inequality

被引:10
|
作者
Angus, JE
机构
关键词
renewal process; covariance inequality; bias; stochastic ordering;
D O I
10.1137/S003614459529298X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This note presents a rigorous proof of the fact that in a renewal process, the interarrival interval containing a specific time point is stochastically larger than a ''typical'' interarrival interval in the process. The key of the proof is a very useful and easily proved covariance inequality.
引用
收藏
页码:95 / 97
页数:3
相关论文
共 50 条
  • [1] The inspection paradox
    Ross, SM
    [J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2003, 17 (01) : 47 - 51
  • [2] The prevention paradox or the inequality paradox
    Allebeck, Peter
    [J]. EUROPEAN JOURNAL OF PUBLIC HEALTH, 2008, 18 (03): : 215 - 215
  • [3] The inspection paradox with random time
    W. Herff
    B. Jochems
    U. Kamps
    [J]. Statistical Papers, 1997, 38 : 103 - 110
  • [4] AN EXTENSION AND IMPLICATIONS OF THE INSPECTION PARADOX
    KREMERS, W
    [J]. STATISTICS & PROBABILITY LETTERS, 1988, 6 (04) : 269 - 273
  • [5] An asymptotic expansion for the inspection paradox
    Angus, JE
    [J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2006, 20 (01) : 87 - 94
  • [6] The inspection paradox in stochastic resetting
    Pal, Arnab
    Kostinski, Sarah
    Reuveni, Shlomi
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (02)
  • [7] SAMPLING BIAS AND THE INSPECTION PARADOX
    STEIN, WE
    DATTERO, R
    [J]. MATHEMATICS MAGAZINE, 1985, 58 (02) : 96 - 99
  • [8] The inspection paradox with random time
    Herff, W
    Jochems, B
    Kamps, U
    [J]. STATISTICAL PAPERS, 1997, 38 (01) : 103 - 110
  • [9] Inequality and punishment: A global paradox?
    Karstedt, Susanne
    [J]. JOURNAL OF CRIMINOLOGY, 2021, 54 (01): : 5 - 20
  • [10] Quantifying the Inspection Paradox with Random Time
    Rauwolf, Diana
    Kamps, Udo
    [J]. AMERICAN STATISTICIAN, 2023, 77 (03): : 274 - 282