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

被引:234
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 [J].
WALLEY, P ;
FINE, TL .
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