A General Definition of Residuals

作者: D. R. Cox , E. J. Snell

DOI: 10.1111/J.2517-6161.1968.TB00724.X

关键词:

摘要: RESIDUALS are now widely used to assess the adequacy of linear models; see Anscombe (1961) for a systematic discussion significance tests based on residuals, and references earlier work. A second closely related application residuals is in time-series analysis, example examining fit an autoregressive model. In context normal-theory models, n x 1 vector random variables Y assumed have form

参考文章(19)
L. R. Shenton, K. Bowman, Higher Moments of a Maximum-Likelihood Estimate Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 25, pp. 305- 317 ,(1963) , 10.1111/J.2517-6161.1963.TB00511.X
G. E. P. Box, D. R. Cox, An Analysis of Transformations Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 26, pp. 211- 243 ,(1964) , 10.1111/J.2517-6161.1964.TB00553.X
Francis John Anscombe, Examination of Residuals Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics. pp. 1- 36 ,(1961)
M. S. BARTLETT, APPROXIMATE CONFIDENCE INTERVALSMORE THAN ONE UNKNOWN PARAMETER Biometrika. ,vol. 40, pp. 306- 317 ,(1953) , 10.1093/BIOMET/40.3-4.306
J. Durbin, G. S. Watson, Testing for Serial Correlation in Least Squares Regression. II Springer Series in Statistics. ,vol. 38, pp. 260- 266 ,(1992) , 10.1007/978-1-4612-4380-9_21
Kenneth E. Iverson, A Programming Language ,(1962)
J. B. S. HALDANE, SHEILA MAYNARD SMITH, THE SAMPLING DISTRIBUTION OF A MAXIMUM-LIKELIHOOD ESTIMATE Biometrika. ,vol. 43, pp. 96- 103 ,(1956) , 10.1093/BIOMET/43.1-2.96
M. S. BARTLETT, APPROXIMATE CONFIDENCE INTERVALS Biometrika. ,vol. 40, pp. 12- 19 ,(1953) , 10.1093/BIOMET/40.1-2.12
Henri Theil, A Simplification of the BLUS Procedure for Analyzing Regression Disturbances Journal of the American Statistical Association. ,vol. 63, pp. 242- 251 ,(1968) , 10.1007/978-94-011-2546-8_28