A Simplification of the BLUS Procedure for Analyzing Regression Disturbances

作者: Henri Theil

DOI: 10.1007/978-94-011-2546-8_28

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摘要: This article deals with BLUS residuals in regression analysis, which have the property of being uncorrelated and having constant variance under null hypothesis that “true” disturbances same property. It is a continuation author's earlier this journal [7] results reported here are following: (1) can be expressed conveniently terms least-squares by means matrix operations order K (K number unknown coefficients regression), (2) satisfy stronger optimality condition than one stated [7], (3) simple expression obtained for coefficient vector implied residuals.

参考文章(6)
J. B. Ramsey, Tests for Specification Errors in Classical Linear Least-Squares Regression Analysis Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 31, pp. 350- 371 ,(1969) , 10.1111/J.2517-6161.1969.TB00796.X
Henri Theil, J. Van Ijzeren, On the Efficiency of Wald’s Method of Fitting Straight Lines Revue de l'Institut International de Statistique / Review of the International Statistical Institute. ,vol. 24, pp. 383- 397 ,(1956) , 10.1007/978-94-011-2546-8_21
Johan Koerts, Some Further Notes on Disturbance Estimates in Regression Analysis Journal of the American Statistical Association. ,vol. 62, pp. 169- 183 ,(1967) , 10.1080/01621459.1967.10482898
S. J. Prais, H. S. Houthaker, Roland S. Vaile, The analysis of family budgets ,(1955)
Henri Theil, The Analysis of Disturbances in Regression Analysis Journal of the American Statistical Association. ,vol. 60, pp. 1067- 1079 ,(1965) , 10.1007/978-94-011-2546-8_27
M. S. Bartlett, Fitting a Straight Line When Both Variables are Subject to Error Biometrics. ,vol. 5, pp. 207- ,(1949) , 10.2307/3001936