Asymptotic distribution of the sample roots for a nonnormal population
作者： CHRISTINE M. WATERNAUX
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摘要: … of the sample roots is unknown. The purpose of this paper is to study the asymptotic distribution of the characteristic roots of the sample … to the case when the population roots are simple. …
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M. A. Girshick, On the Sampling Theory of Roots of Determinantal Equations Annals of Mathematical Statistics. ,vol. 10, pp. 203- 224 ,(1939) , 10.1214/AOMS/1177732180
Sir Ronald A. Fisher, E. A. Cornish, The Percentile Points of Distributions Having Known Cumulants Technometrics. ,vol. 2, pp. 209- 225 ,(1960) , 10.1080/00401706.1960.10489895
M. B. COOK, Bi-variate k-statistics and cumulants of their joint sampling distribution. Biometrika. ,vol. 38, pp. 179- 195 ,(1951) , 10.1093/BIOMET/38.1-2.179
D. N. LAWLEY, TESTS OF SIGNIFICANCE FOR THE LATENT ROOTS OF COVARIANCE AND CORRELATION MATRICES Biometrika. ,vol. 43, pp. 128- 136 ,(1956) , 10.1093/BIOMET/43.1-2.128
M. W. J. Layard, Large Sample Tests for the Equality of Two Covariance Matrices Annals of Mathematical Statistics. ,vol. 43, pp. 123- 141 ,(1972) , 10.1214/AOMS/1177692708
A. G. Constantine, Some Non-Central Distribution Problems in Multivariate Analysis Annals of Mathematical Statistics. ,vol. 34, pp. 1270- 1285 ,(1963) , 10.1214/AOMS/1177703863
M. W. J. LAYARD, A Monte Carlo comparison of tests for equality of convariance matrices Biometrika. ,vol. 61, pp. 461- 465 ,(1974) , 10.1093/BIOMET/61.3.461
K. V. MARDIA, The effect of nonnormality on some multivariate tests and robustness to nonnormality in the linear model Biometrika. ,vol. 58, pp. 105- 121 ,(1971) , 10.1093/BIOMET/58.1.105