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Title: On the quadratic derivative of exponential probabilities (English)
Author: Rublík, František
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 25
Issue: 4
Year: 1980
Pages: 267-272
Summary lang: English
Summary lang: Slovak
Summary lang: Russian
Category: math
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. (English)
Keyword: quadratic derivative
Keyword: exponential family density
MSC: 62E15
MSC: 62E99
MSC: 62F99
idZBL: Zbl 0465.62020
idMR: MR0583587
DOI: 10.21136/AM.1980.103860
Date available: 2008-05-20T18:14:38Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] R. Engelking: An Outline of General Topology.(in Polish). Warszawa 1968. MR 0230273
Reference: [2] R. A. Johnson G. G. Roussas: Asymptotically most powerful tests in Markov processes.Ann. Math. Stat. 40 (1969), 1207-1215. MR 0264753, 10.1214/aoms/1177697497
Reference: [3] R. A. Johnson G. G. Roussas: Asymptotically optimal tests in Markov processes.Ann. Math. Stat. 41 (1970), 918-938. MR 0279925, 10.1214/aoms/1177696969
Reference: [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.
Reference: [5] E. L. Lehman: Testing Statistical Hypotheses.New York 1959. MR 0107933
Reference: [6] F. Leja: Complex Functions.(in Polish). Warszawa 1971.
Reference: [7] G. G. Roussas: Контигуальность вероятностных мер.Москва 1975. Zbl 0368.62014


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