Asymptotic properties of least squares estimation for a new fuzzy autoregressive model

被引:0
|
作者
Zhi-Wen Zhao
Cui-Xin Peng
机构
[1] Jilin Normal University,College of Mathematics
[2] Jilin Normal University,Public Foreign Languages Department
关键词
fuzzy random variables; fuzzy numbers; fuzzy least squares estimation; fuzzy autoregressive model; fuzzy set;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we extend the standard autoregressive model to the case where the explanatory and response variables are random fuzzy variables. The fuzzy least-squares estimators (FLSE) of the model parameters are derived and their asymptotic properties are established. A simulation is conducted to evaluate our method, and it is found that the proposed method provides a better performance.
引用
收藏
相关论文
共 50 条
  • [21] Asymptotic Properties of Weighted Least Squares Estimation in Weak PARMA Models
    Francq, Christian
    Roy, Roch
    Saidi, Abdessamad
    JOURNAL OF TIME SERIES ANALYSIS, 2011, 32 (06) : 699 - 723
  • [22] THE ASYMPTOTIC PROPERTIES OF POLYNOMIAL PHASE ESTIMATION BY LEAST SQUARES PHASE UNWRAPPING
    McKilliam, Robby G.
    Clarkson, I. Vaughan L.
    Quinn, Barry G.
    Moran, Bill
    2011 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2011, : 3592 - 3595
  • [23] Least-squares estimation for bifurcating autoregressive processes
    Zhou, J
    Basawa, IV
    STATISTICS & PROBABILITY LETTERS, 2005, 74 (01) : 77 - 88
  • [24] Generalized least squares transformation and estimation with autoregressive error
    Vougas, Dimitrios V.
    STATISTICS & PROBABILITY LETTERS, 2008, 78 (04) : 402 - 404
  • [25] A fuzzy logistic regression model based on the least squares estimation
    Yifan Gao
    Qiujun Lu
    Computational and Applied Mathematics, 2018, 37 : 3562 - 3579
  • [26] The Second-Order Asymptotic Properties of Asymmetric Least Squares Estimation
    Lee, Tae-Hwy
    Ullah, Aman
    Wang, He
    SANKHYA-SERIES B-APPLIED AND INTERDISCIPLINARY STATISTICS, 2019, 81 (SUPPL 1): : 201 - 233
  • [27] A fuzzy logistic regression model based on the least squares estimation
    Gao, Yifan
    Lu, Qiujun
    COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (03): : 3562 - 3579
  • [28] Asymptotic properties of the least squares estimators of a two dimensional model
    Kundu, D
    Gupta, RD
    METRIKA, 1998, 48 (02) : 83 - 97
  • [29] Asymptotic properties of the least squares estimators of a two dimensional model
    Debasis Kundu
    Rameshwar D. Gupta
    Metrika, 1998, 48 (2) : 83 - 97
  • [30] A NEW STUDY ON ASYMPTOTIC OPTIMALITY OF LEAST SQUARES MODEL AVERAGING
    Zhang, Xinyu
    ECONOMETRIC THEORY, 2021, 37 (02) : 388 - 407