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系统科学与数学 1988
APPLICATION OF RANDOM WEIGHTING METHODS IN REGRESSION MODELS
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Abstract:
For the classical regression models the problem of simulation for the distribution func-tion of the student statistics of LS estimator of an estimable function is discussed under the as-sumption that the components of the error vector are independent but not identically distrib-uted and other assumptions.By means of asym ptotical expansion of corresponding statisticswe prove that the random weighting approximation can attain the accuracy of o (1/n~(1/2),similar results are obtained also for the problem of approximation for the distribution func-tion of the testing statistics t_(n-p).