Fuzzy weighted scaled coefficients in semi-parametric model

Annals of the Institute of Statistical Mathematics

Volumn 48, Issue 1, 1996, Pages 97-110

  Wu, Jong Wuu ^a   Jang, Jiahn Bang ^b   Tsai, Tzong Ru ^b  

^a TAMKANG UNIVERSITY   (Taiwan)

^b NATIONAL CHENGCHI UNIVERSITY   (Taiwan)

Author keywords

Asymptotic normality; Fuzzy weighted least squares estimator; Least squares estimator; Monte Carlo simulation; Outlier; Semi parametric model

Indexed keywords

FUZZY SETS; MONTE CARLO METHODS;

ASYMPTOTIC NORMALITY; CONSISTENT ESTIMATOR; LEAST SQUARES METHOD; NON PARAMETRIC ESTIMATION; OUTLIER; REGRESSION COEFFICIENT;

ESTIMATION;

EID: 0030369941     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00049292     Document Type: Article

References (12)

1. Bezdek, J. C. (1973). Fuzzy mathematics in pattern classification, Ph.D. Thesis, Cornell University, Ithaca.
2. Bezdek, J. C. (1981). Pattern Recognition with Fuzzy Objective Function Algorithms, Plenum, New York.
3. Brillinger, D. R. (1982). A generalized linear model with 'Gaussian' regressor variables, A Festchrift for Erich L. Lehmann on Honor of His Sixty-fifth Birthday (eds. P. J. Bickel, K. Doksum and J. L. Hodges), 97-114, Wadsworth International Group, Belmont, California.
4. Duan, N. and Li, K.-C. (1987). Distribution-free and link-free estimation for the sample selection model, J. Econometrics, 35, 25-35.
5. Fang, K. T., Kotz, S. and Ng, K. W. (1990). Symmetric Multivariate and Related Distributions, Chapman and Hall, New York.
6. Gath, I. and Geva, A. (1989). Unsupervised optimal fuzzy clustering, IEEE Trans. on Patterns Analysis and Machine Intelligence, 11, 773-781.
7. Li, K.-C. and Duan, N. (1989). Regression analysis under link violation, Ann. Statist., 17, 1009-1052.
8. Rousseeuw, P. J. (1984). Least median of squares regression, J. Amer. Statist. Assoc., 79, 871-880.
9. Rousseeuw, P. J. and Leroy, A. M. (1987). Robust Regression and Outlier Detection, Wiley, New York.
10. Serfling, R. J. (1980). Approximation Theorems of Mathematical Statistics, Wiley, New York.
11. Stein, C. M. (1981). Estimation of the mean of multivariate normal distributions, Ann. Probab., 12, 361-379.
12. Van Cutsem, B. and Gath, I. (1993). Detection of outliers and robust estimation using fuzzy clustering, Comput. Statist. Data Anal., 15, 47-61.