REFERENCES
T. W. Anderson, An Introduction to Multivariate Statistical Analysis, Wiley, New York (1958).
E. L. Lehmann, Testing Statistical Hypotheses, Wiley, New York (1959).
N. Ya. Vilenkin, Special Functions and the Theory of Group Representations, AMS, Providence (1968).
D. P. Zelobenko, Compact Lie Groups and Their Representations, AMS, Providence (1973).
A. M. Kagan, Yu. V. Linnik, and C. Radhakrishna Rao, Characterization Problems in Mathematical Statistics, Wiley, New York (1973).
V. M. Maksimov, “Necessary and sufficient statistics for the family of shifts of probability distributions on continuous bicompact groups, ” Teor. Veroyatn. Primen., 12, 267–280 (1967).
A. L. Rukhin, “Strongly symmetric families and statistical analysis of their distributions, ” Zapiski LOMI, 43, 59–87 (1974).
P. N. Sapozhnikov, “Application of algebraic properties of statistical models to deriving distributions of statistics, ” J. Math. Sci., 81, 2860–2868 (1996).
P. N. Sapozhnikov, “Algebraic methods in multidimensional analysis, ” in: Proceedings of XV Conference on Multivariate Statistical Analysis, Lodz (1996), pp. 165–176.
A. M. Kagan, Yu. V. Linnik, I. V. Romanovsky, and A. V. Rukhin, “‘self-government’ families of distributions, ” Sankhyā, Ser. A, 33, 255–264 (1971).
H. Luschgy, “Statistical characterizations of Gaussian measures on a Hilbert space, ” Probab. Math. Statist., 6, 151–159 (1985).
Rights and permissions
About this article
Cite this article
Sapozhnikov, P.N. Exponential Shift Families Differing by the Origin. Journal of Mathematical Sciences 103, 621–630 (2001). https://doi.org/10.1023/A:1009518532431
Issue Date:
DOI: https://doi.org/10.1023/A:1009518532431