The Use of Fuzzy A Priori information for Estimation of Regression Parameters

被引：0

作者：

Korkhin, Arnold S. ^{[1
]}

Mizernyi, Victor N. ^{[2
]}

机构：

[1] Res. Inst. of Fer. Metall. Automat., Dnepropetrovsk, Ukraine

[2] Vinnitsa State Technical University, Ukraine

来源：

Journal of Automation and Information Sciences | 2003年 / 35卷 / 1-4期

关键词：

Constraint theory - Fuzzy sets - Mathematical models - Matrix algebra - Parameter estimation - Random processes - Regression analysis - Theorem proving - Vectors;

D O I：

10.1615/jautomatinfscien.v35.i1.50

中图分类号：

学科分类号：

摘要：

A method of a priori information consideration, based on description of definition domain of regression parameters by equality constraints and by inequality constraints, where either right-hand or left-hand parts of constraints are prescribed fuzzy, is suggested. Statistical properties of estimates are studied. The described technique is applied for derivation of models of non-stationary stochastic systems, which can be reduced to a model of regression with switchings.

引用

页码：38 / 49

共 50 条

[1] USING FUZZY A PRIORI INFORMATION TO ESTIMATE REGRESSION PARAMETERS
KORKHIN, AS
INDUSTRIAL LABORATORY, 1991, 57 (05): : 555 - 562
[2] Using fuzzy a priori information to estimate regression parameters
Korkhin, A.S.
Industrial Laboratory (USSR) (English translation of Zavodskaya Laboratoriya), 1991, 57 (05):
[3] THE USE OF A PRIORI INFORMATION IN NONPARAMETRIC ESTIMATIONS OF THE REGRESSION FUNCTION
ZAVARIN, AN
AUTOMATION AND REMOTE CONTROL, 1985, 46 (05) : 609 - 616
[4] USE OF A PRIORI INFORMATION IN ESTIMATION OF A PARAMETER IN LIFE TESTING
SHAH, SM
COMMUNICATIONS IN STATISTICS, 1975, 4 (02): : 177 - 184
[5] Estimation of state and parameters of dynamic system with the use of ellipsoids at the lack of a priori information on estimated quantities
Salnikov, N.N.
Journal of Automation and Information Sciences, 2014, 46 (04) : 60 - 75
[6] Estimation of Fuzzy Regression Parameters With ANFIS and Bayesian Methods
Pakdel, M.
Razzaghnia, T.
Fathi, K.
Mostafaee, A.
ENGINEERING REPORTS, 2025, 7 (01)
[7] How to use a priori information of data symbols for SNR estimation
Dangl, Markus A.
Lindner, Juergen
IEEE SIGNAL PROCESSING LETTERS, 2006, 13 (11) : 661 - 664
[8] USING A PRIORI INFORMATION IN REGRESSION ANALYSIS
Korkhin, A. S.
CYBERNETICS AND SYSTEMS ANALYSIS, 2013, 49 (01) : 41 - 54
[9] Fuzzy prior information and minimax estimation in the linear regression model
Arnold, BF
Stahlecker, P
STATISTICAL PAPERS, 1997, 38 (04) : 377 - 391
[10] Fuzzy prior information and minimax estimation in the linear regression model
Bernhard F. Arnold
Peter Stahlecker
Statistical Papers, 1997, 38 : 377 - 391

← 1 2 3 4 5 →