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Literature Cited
R. I. Jennrich, “Nonlinear least square estimators,” Ann. Math. Stat.,40, 633–643 (1969).
E. Malinvaud, “The consistency of nonlinear regression,” Ann. Math. Stat.,41, 956–969 (1970).
E. J. Hannan, “Nonlinear time series regresion,” J. Appl. Prob.,8, 767–780 (1971).
A. V. Ivanov, Statistical Properties of Estimators in Nonlinear Regression Models, Author's Abstract of Candidate's Dissertation, Kiev (1973).
A. Ya. Dorogovtsev, “On the convergence of the extremum points of a convergent sequence of stochastic functionals,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 7, 581–584 (1977).
V. V. Petrov, Sums of Independent Random Variables [in Russian], Nauka, Moscow (1972).
A. V. Ivanov, “Berry — Esseen inequality for the distribution of the least-squares estimator of a nonlinear regression function,” Mat. Zametki,20, No. 2, 293–303 (1976).
A. V. Ivanov, “Asymptotic expansion for the distribution of the least-squares estimator of a nonlinear regression function,” Teor. Veroyatn. Ee Primen.,21, No. 3, 571–583 (1976).
V. I. Mudrov and V. L. Kushko, The Method of Least Deviations [in Russian], Znanie, Moscow (1971).
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Translated from Kibernetika, No. 5, pp. 113–119, September–October, 1980.
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Ivanov, A.V., Kozlov, O.M. Properties of nonlinear regression estimators. Cybern Syst Anal 16, 759–767 (1980). https://doi.org/10.1007/BF01078509
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DOI: https://doi.org/10.1007/BF01078509