Geodesic
Some relations between discrete statistical problems and properties of probability measures on topological spaces
Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 128-136 
A. A. Grusho; E. E. Timonina. Some relations between discrete statistical problems and properties of probability measures on topological spaces. Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 128-136. http://geodesic.mathdoc.fr/item/DM_2006_18_4_a11/
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     title = {Some relations between discrete statistical problems and properties of probability measures on topological spaces},
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     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_4_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study problems of existence of consistent sequences of tests in a sequence of finite spaces. We also touch upon problems of existence of sequence of tests close in some sense to consistent ones. These problems are closely related to properties of some sets in Tikhonov products.

[1] Leman E., Proverka statisticheskikh gipotez, Nauka, Moskva, 1964

[2] Neve Zh., Matematicheskie osnovy teorii veroyatnostei, Mir, Moskva, 1969

[3] Burbaki N., Obschaya topologiya. Osnovnye struktury, Nauka, Moskva, 1968

[4] Prokhorov Yu. V., Rozanov Yu. A., Teoriya veroyatnostei, Nauka, Moskva, 1993