CREDIBILISTIC PARAMETER ESTIMATION AND ITS APPLICATION IN FUZZY PORTFOLIO SELECTION

被引:0
|
作者
Li, Xiang [2 ]
Qin, Zhongfeng [3 ]
Ralescu, Dan [1 ]
机构
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
[2] Beijing Jiaotong Univ, State Key Lab Rail Traff Control & Safety, Beijing 100044, Peoples R China
[3] Beihang Univ, Sch Econ & Management, Beijing 100191, Peoples R China
来源
IRANIAN JOURNAL OF FUZZY SYSTEMS | 2011年 / 8卷 / 02期
关键词
Normal fuzzy variable; Credibility theory; Confidence interval; Point estimation; Portfolio selection; ENTROPY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a maximum likelihood estimation and a minimum entropy estimation for the expected value and variance of normal fuzzy variable are discussed within the framework of credibility theory. As an application, credibilistic portfolio selection model is proposed, which is an improvement over the traditional models as it only needs the predicted values on the security returns instead of their membership functions.
引用
收藏
页码:57 / 65
页数:9
相关论文
共 50 条
  • [1] A review of credibilistic portfolio selection
    Huang, Xiaoxia
    FUZZY OPTIMIZATION AND DECISION MAKING, 2009, 8 (03) : 263 - 281
  • [2] A review of credibilistic portfolio selection
    Xiaoxia Huang
    Fuzzy Optimization and Decision Making, 2009, 8
  • [3] Analysing skewness of credibilistic coherent trapezoidal fuzzy numbers: Implications for portfolio selection
    Mandal, Pawan Kumar
    Thakur, Manoj
    Mittal, Garima
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2024,
  • [4] Fuzzy Edmundson-Madansky Inequality and Its Application to Portfolio Selection Problems
    Li, Xiang
    Yang, Lixing
    Gao, Jinwu
    INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL, 2010, 13 (04): : 1163 - 1173
  • [5] Credibilistic variance and skewness of trapezoidal fuzzy variable and mean-variance-skewness model for portfolio selection
    Pahade, Jagdish Kumar
    Jha, Manoj
    RESULTS IN APPLIED MATHEMATICS, 2021, 11
  • [6] Portfolio Selection in the Credibilistic Framework Using Renyi Entropy and Renyi Cross Entropy
    Yari, Gholanhossein
    Sajedi, Alireza
    Rahimi, Mohamadtaghi
    INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS, 2018, 18 (01) : 78 - 83
  • [7] Voting shrinkage algorithm for Covariance Matrix Estimation and its application to portfolio selection
    Tuan Tran
    Nhat Nguyen
    Trung Nguyen
    An Mai
    2020 RIVF INTERNATIONAL CONFERENCE ON COMPUTING & COMMUNICATION TECHNOLOGIES (RIVF 2020), 2020, : 172 - 177
  • [8] A CREDIBILISTIC MEAN-SEMIVARIANCE-PER PORTFOLIO SELECTION MODEL FOR LATIN AMERICA
    Garcia, Fernando
    Gonzalez-Bueno, Jairo
    Oliver, Javier
    Tamosiuniene, Rima
    JOURNAL OF BUSINESS ECONOMICS AND MANAGEMENT, 2019, 20 (02) : 225 - 243
  • [9] On fuzzy portfolio selection problems
    Wang S.
    Zhu S.
    Fuzzy Optimization and Decision Making, 2002, 1 (04) : 361 - 377
  • [10] Portfolio selection in fuzzy environment
    Chen, YJ
    Liu, YK
    Proceedings of 2005 International Conference on Machine Learning and Cybernetics, Vols 1-9, 2005, : 2694 - 2699