This is a preview of subscription content, log in via an institution to check access.
Literature cited
L. B. Klebanov, “Stability in the statistical estimation problem and choice of loss functions,” J. Sov. Math.,17, No. 6 (1981).
V. N. Nikulin, Invariant Estimation of the Displacement Parameter on Groups [in Russian], VINITI, unpublished MS, No. 2778-83.
A. L. Rukhin, “Estimating the rotation parameter on a sphere,” J. Sov. Math.,3, No. 6 (1975).
A. L. Rukhin, “Some statistical and probabilistic problems on groups,” Tr. Mat. Inst. Akad. Nauk SSSR,111, 52–109 (1970).
M. M. Postnikov, Linear Algebra and Differential Geometry [in Russian], Nauka, Moscow (1979).
N. Ya. Vilenkin, Special Functions and Group Representation Theory [in Russian], Nauka, Moscow (1965).
Additional information
Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei — Trudy Seminara, pp. 94–112, 1984.
I would like to thank L. B. Klebanov for valuable discussion and useful comments, which enabled me to considerably improve the final presentation.
Rights and permissions
About this article
Cite this article
Nikulin, V.N. Stability of the estimation problem for the displacement parameter. J Math Sci 35, 2365–2380 (1986). https://doi.org/10.1007/BF01105655
Issue Date:
DOI: https://doi.org/10.1007/BF01105655