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D.M. Chibisov: On the normal approximation for a certain class of statistics, Proc. 6-th Berkeley Symp. Math. Statist. and Prob., 1972, vol.1, 153–174.
D.M. Chibisov: Asymptotic expansions for the maximum likelihood estimate, Teor. Verojatnost. i Primenen., 17, 2 (1972), 387–388.
D.M. Chibisov: Asymptotic expansions for some test statistics for testing composite hypotheses, Teor. Verojatnost. i Primenen., 17, 3 (1972), 600–602.
D.M. Chibisov: An asymptotic expansion for the distribution of a statistic admitting an asymptotic expansion, Teor. Verojatnost. i Primenen., 17, 4 (1972), 658–668.
K. Michel, J. Pfanzagl: The accuracy of the normal approximation for minimum contrast estimates, Z. Wahrscheinlichkeitstheorie verw. Geb., 18 (1970), 73–84.
P.A.P. Moran: On asymptotically optimal tests of composite hypotheses, Biometrika, 57, 1 (1970), 47–55.
S.V. Nagaev: Some limit theorems for large deviations, Teor. Verojatnost. i Primenen., 10, 2 (1965), 231–254.
J.Neyman: Optimal asymptotic tests of composite statistical hypotheses, Probability and statistics, Uppsala, Almquist and Wiksells, (The Harald Cramér Volume), 1959, 213–234.
V.V. Yurinsky: Bounds for characteristic functions of certain degenerate multidimensional distributions, Teor. Verojatnost. i Primenen., 17, 1 (1972), 99–110.
K.G. Binmore, H.H. Stratton: A note on characteristic functions, Ann. Math. Statist., 40 (1969), 303–307.
R.P. Boas: Lipschitz behaviour and integrability of characteristic functions, Ann. Math. Statist., 38 (1967), 32–36.
M.Loève: Probability Theory, Van Nostrand, 1960.
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Chibisov, D.M. (1973). Asymptotic expansions for Neyman's C(α) tests. In: Maruyama, G., Prokhorov, Y.V. (eds) Proceedings of the Second Japan-USSR Symposium on Probability Theory. Lecture Notes in Mathematics, vol 330. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061479
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DOI: https://doi.org/10.1007/BFb0061479
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