On the quadratic derivative of exponential probabilities
Applications of Mathematics, Tome 25 (1980) no. 4, pp. 267-272
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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.
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.
DOI : 10.21136/AM.1980.103860
Classification : 62E15, 62E99, 62F99
Keywords: quadratic derivative; exponential family density
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Rublík, František. On the quadratic derivative of exponential probabilities. Applications of Mathematics, Tome 25 (1980) no. 4, pp. 267-272. doi: 10.21136/AM.1980.103860

[1] R. Engelking: An Outline of General Topology. (in Polish). Warszawa 1968. | MR

[2] R. A. Johnson G. G. Roussas: Asymptotically most powerful tests in Markov processes. Ann. Math. Stat. 40 (1969), 1207-1215. | DOI | MR

[3] R. A. Johnson G. G. Roussas: Asymptotically optimal tests in Markov processes. Ann. Math. Stat. 41 (1970), 918-938. | DOI | MR

[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

[6] F. Leja: Complex Functions. (in Polish). Warszawa 1971.

[7] G. G. Roussas: Контигуальность вероятностных мер. Москва 1975. | Zbl

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