Maximum entropy distribution with fractional moments for reliability analysis

2020 ◽  
Vol 83 ◽  
pp. 101904 ◽  
Author(s):  
Xiaodong Zhang ◽  
Ying Min Low ◽  
Chan Ghee Koh
Keyword(s):  
Reliability Analysis ◽  
Maximum Entropy ◽  
Fractional Moments ◽  
Maximum Entropy Distribution

The entropy of the maximum entropy distribution

1980 ◽  
Vol 5 (2) ◽  
pp. 145-148 ◽  
Author(s):  
Henri Theil
Keyword(s):  
Maximum Entropy ◽  
Maximum Entropy Distribution

An entropy concentration theorem: applications in artificial intelligence and descriptive statistics

1990 ◽  
Vol 27 (2) ◽  
pp. 303-313 ◽  
Author(s):  
Claudine Robert
Keyword(s):  
Artificial Intelligence ◽  
Maximum Entropy ◽  
Large Deviation ◽  
Maximum Entropy Principle ◽  
Statistical Modelling ◽  
Linear Constraints ◽  
Descriptive Statistics ◽  
Entropy Principle ◽  
Maximum Entropy Distribution ◽  
Mathematical Justification

The maximum entropy principle is used to model uncertainty by a maximum entropy distribution, subject to some appropriate linear constraints. We give an entropy concentration theorem (whose demonstration is based on large deviation techniques) which is a mathematical justification of this statistical modelling principle. Then we indicate how it can be used in artificial intelligence, and how relevant prior knowledge is provided by some classical descriptive statistical methods. It appears furthermore that the maximum entropy principle yields to a natural binding between descriptive methods and some statistical structures.

The positive maximum entropy distribution

1981 ◽  
Vol 8 (1) ◽  
pp. 67-72 ◽  
Author(s):  
Henri Theil ◽  
Richard O. Lightburn
Keyword(s):  
Maximum Entropy ◽  
Positive Maximum ◽  
Maximum Entropy Distribution
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