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Article

Keywords:
quadratic derivative; exponential family density
Summary:
In the paper it is shown that exponential families of probabilities have the quadratic derivative of the likelihood ratio, and explicit formulas for this derivative are derived.
References:
[1] R. Engelking: An Outline of General Topology. (in Polish). Warszawa 1968. MR 0230273
[2] R. A. Johnson G. G. Roussas: Asymptotically most powerful tests in Markov processes. Ann. Math. Stat. 40 (1969), 1207-1215. DOI 10.1214/aoms/1177697497 | MR 0264753
[3] R. A. Johnson G. G. Roussas: Asymptotically optimal tests in Markov processes. Ann. Math. Stat. 41 (1970), 918-938. DOI 10.1214/aoms/1177696969 | MR 0279925
[4] R. A. Johnson G. G. Roussas: Applications of Contiguity to Multiparameter Hypotheses Testing. Proceedings of the Sixth Berkeley Symposium on Math. Stat. and Prob.
[5] E. L. Lehman: Testing Statistical Hypotheses. New York 1959. MR 0107933
[6] F. Leja: Complex Functions. (in Polish). Warszawa 1971.
[7] G. G. Roussas: Контигуальность вероятностных мер. Москва 1975. Zbl 0368.62014
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