scholarly journals Inequality and Uncertainty: Theory and Legal Applications

2006 ◽  
Vol 155 (2) ◽  
pp. 279 ◽  
Author(s):  
Matthew D. Adler ◽  
Chris William Sanchirico
Keyword(s):  
Uncertainty Theory

scholarly journals Uncertainty theory as a basis for belief reliability

2018 ◽  
Vol 429 ◽  
pp. 26-36 ◽  
Author(s):  
Zhiguo Zeng ◽  
Rui Kang ◽  
Meilin Wen ◽  
Enrico Zio
Keyword(s):  
Uncertainty Theory

SINE ENTROPY FOR UNCERTAIN VARIABLES

2013 ◽  
Vol 21 (05) ◽  
pp. 743-753 ◽  
Author(s):  
KAI YAO ◽  
JINWU GAO ◽  
WEI DAI
Keyword(s):  
Maximum Entropy ◽  
Uncertainty Theory ◽  
Maximum Entropy Principle ◽  
Expected Value ◽  
Uncertain Variables ◽  
Entropy Principle

Entropy is a measure of the uncertainty associated with a variable whose value cannot be exactly predicated. In uncertainty theory, it has been quantified so far by logarithmic entropy. However, logarithmic entropy sometimes fails to measure the uncertainty. This paper will propose another type of entropy named sine entropy as a supplement, and explore its properties. After that, the maximum entropy principle will be introduced, and the arc-cosine distributed variables will be proved to have the maximum sine entropy with given expected value and variance.

Pricing Convertible Bond in Uncertain Financial Market

2021 ◽  
pp. 2150007
Author(s):  
Zhiqiang Zhang ◽  
Zhenfang Wang ◽  
Xiaowei Chen
Keyword(s):  
Differential Equation ◽  
Financial Market ◽  
Stock Price ◽  
Uncertainty Theory ◽  
Convertible Bonds ◽  
Convertible Bond ◽  
Uncertain Differential Equation ◽  
Numerical Examples ◽  
Liu Process ◽  
Uncertain Calculus

This paper is devoted to evaluating the convertible bonds within the framework of uncertainty theory. Under the assumption that the underlying stock price follows an uncertain differential equation driven by Liu process, the price formulas of convertible bonds and the callable convertible bonds are derived by using the method of uncertain calculus. Finally, two numerical examples are discussed.

scholarly journals A new structural reliability index based on uncertainty theory

2017 ◽  
Vol 30 (4) ◽  
pp. 1451-1458 ◽  
Author(s):  
Pidong WANG ◽  
Jianguo ZHANG ◽  
Hao ZHAI ◽  
Jiwei QIU
Keyword(s):  
Reliability Index ◽  
Uncertainty Theory ◽  
Structural Reliability

scholarly journals Decision makers facing uncertainty: Theory versus evidence

2010 ◽  
Vol 31 (4) ◽  
pp. 659-675 ◽  
Author(s):  
Paolo E. Giordani ◽  
Karl H. Schlag ◽  
Sanne Zwart
Keyword(s):  
Uncertainty Theory ◽  
Decision Makers ◽  
Theory Versus
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