The theory of interval-probability as a unifying concept for uncertainty

被引:230
作者
Weichselberger, K [1 ]
机构
[1] Univ Munich, Dept Stat, D-80539 Munich, Germany
关键词
interval-probability; uncertainty; conditional-probability; theorem of Bayes;
D O I
10.1016/S0888-613X(00)00032-3
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The concept of interval-probability is motivated by the goal to generalize classical probability so that it can be used for describing uncertainty in general. The foundations of the theory are based on a system of three axioms - in addition to Kolmogorov's axioms - and definitions of independence as well as of conditional-probability. The resulting theory does not depend upon interpretations of the probability concept. As an example of generalising classical results Bayes' theorem is described - other theorems are only mentioned. (C) 2000 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:149 / 170
页数:22
相关论文
共 10 条
  • [1] AUGUSTIN T, 1998, OPTIMALE TESTS INTER
  • [2] Huber P. J., 1981, ROBUST STAT
  • [3] Kofler E., 1976, LECT NOTES EC MATH S, V136
  • [4] TOWARDS A FREQUENTIST THEORY OF UPPER AND LOWER PROBABILITY
    WALLEY, P
    FINE, TL
    [J]. ANNALS OF STATISTICS, 1982, 10 (03) : 741 - 761
  • [5] WALLEY P, P 1 INT S IMPR PROB
  • [6] WEICHSELBERGER K, 1998, ECONOMETRICS THEORY
  • [7] Weichselberger K., 1995, IFO STUDIEN, V41, P653
  • [8] WEICHSELBERGER K, 1995, P 2 GAUSS S B, P47
  • [9] WEICHSELBERGER K, 2000, IN PRESS ELEMENTARE, V1
  • [10] WEICHSELBERGER K, 1996, LECT NOTES STAT, V109, P391