Abstract
This paper is a sequel to part I [Ukr. Mat. Zh.,47, No. 4, 443–452 (1995)]. By using the results of the first part, we obtain the initial terms of the asymptotic expansions of the bias and variance for the jackknife estimator of the variance of the error of observations in a nonlinear regressive model.
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T. A. Bardadym and A. V. Ivanov, “Asymptotic expansions associated with the jackknife functional. I,”Ukr. Mat. Zh.,47, No. 4, 443–452 (1995).
A. V. Ivanov, “Asymptotic expansion of the moments of the least-squares estimator of the vector parameter of nonlinear regression,”Ukr. Mat. Zh.,34, No. 2, 164–170 (1982).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 6, pp. 731–736, June, 1995.
The present work was financially supported by the Ukrainian State Committee on Science and Technology.
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Bardadym, T.A., Ivanov, A.V. Asymptotic expansions associated with the jackknife functional. II. Ukr Math J 47, 841–847 (1995). https://doi.org/10.1007/BF01058774
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DOI: https://doi.org/10.1007/BF01058774