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On the statistical decision problems with discrete parameter space. (English) Zbl 0153.47701

##### MSC:
 62Cxx Statistical decision theory
##### Keywords:
Bayes risk; information; estimates; asymptotic behavior
Full Text:
##### References:
 [1] L. Baladová: Minimum of average conditional entropy for given minimum probability of error. Kybernetika 2 (1966), 5, 416-422. [2] V. A. Kovalevskij: Pattern recognition problem from the viewpoint of mathematical statistics. Reading automata, Kiev 1965. [3] M. Loéve: Probability Theory. D. Van Nostrand, New York 1960. · Zbl 0095.12201 [4] A. Perez: Notions géneralisées d’incertitude, d’entropie et d’information du point de vue de la theorie de martingales. In Trans. of First Prague Conf. on Inf. Theory, Stat. Dec. Functions and Random Processes. Praha 1957. · Zbl 0102.13204 [5] A. Perez: Information, $$\varepsilon$$-Sufficiency and Data Reduction Problems. Kybernetika 1 (1965), 4, 297-323. · Zbl 0156.40603 [6] I. Vajda: Rate of convergence cf the information in a sample concerning a parameter. Czechosl. Mathem. Journal · Zbl 0189.18901
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