A sufficient and necessary condition of uncertainty distribution

By Zixiong Peng, Kakuzo Iwamura. 2010

235 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f351aeff3ff5afa145b02b331d8bd26f2ecb7854

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Management Science and Operations Research

1. Kai Yao
2. Xiaowei Chen
3. Yongchao Hou
4. Baoding Liu
5. Zixiong Peng
6. Wei Dai
7. Yuhong Sheng
8. Xiaosheng Wang

In Statistics and Probability

1. Kai Yao
2. Baoding Liu
3. Xiaowei Chen
4. Zixiong Peng
5. Yongchao Hou
6. Xiaosheng Wang
7. Wei Dai
8. Yuhong Sheng

Citations in the corpus

• Subadditivity of chance measure (2014, background): “Then, a sufficient and necessary condition of uncertainty distribution was proved by Peng and Iwamura [19] in 2010.”
• Some formulas of variance of uncertain random variable (2014, background): “Peng, ZX, Iwamura, K: A sufficient and necessary condition of uncertainty distribution.”
• Method of moments for estimating uncertainty distributions (2014, background): “Other references related to uncertainty theory are Gao [11], Gao et al. [12], Peng and Iwamura [13], and Liu and Ha [14].”
• Toward uncertain finance theory (2013, background): “Peng, ZX, Iwamura, K: A sufficient and necessary condition of uncertainty distribution.”
• Existence and Uniqueness Theorem on Uncertain Dierential Equations with Local Lipschitz Condition (2012, unknown): “Many researchers have done a lot of work in this area, such as Gao et al [4], Peng et al [13], You [16] and Zhu [17].”
• Existence and uniqueness theorem for uncertain differential equations (2010, background): “Other researchers have also done a lot of theoretical work related to uncertainty theory, such as Chen and Ralescu (2009), Gao (2009), Gao and Ralescu (2009), Qin and Kar (2009), Qin et al. (2009), You (2009), Peng (2009), Peng and Iwamura (2009), and Zhu (2009), etc.”
• A type of uncertain differential equations with analytic solution (2013, background): “For example, Peng and Iwamura [3] gave a sufficient condition for the uncertainty distribution of an uncertain variable.”
• Maximum Entropy Principle for Uncertain Variables (2011, methodology): “x M x ξ Φ = ≤ It has been proved by Peng & Iwamura [24] that a function is an uncertainty distribution function if and only if it is an increasing function except ( ) 0 x Φ = and ( ) 1 x Φ = .”