Geodesic
Some properties of strongly and weakly divisible statistical structures in a Banach space of measures
Teoriâ slučajnyh processov, Tome 16 (2010) no. 2, pp. 120-125.

Voir la notice de l'article provenant de la source Math-Net.Ru

Some properties of divisible statistical structures in a Banach space of measures are considered. Linear functionals of the integral type on the Banach space of measures are defined, and the criteria of weak and strong divisibilities of statistical structures are given in terms of such sets of functionals.
Keywords: Statistical structures, measure, Banach space. 
@article{THSP_2010_16_2_a11,
     author = {G. Sokhadze and Z. Zerakidze},
     title = {Some properties of strongly and weakly divisible statistical structures in a {Banach} space of measures},
     journal = {Teori\^a slu\v{c}ajnyh processov},
     pages = {120--125},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2010_16_2_a11/}
}
TY  - JOUR
AU  - G. Sokhadze
AU  - Z. Zerakidze
TI  - Some properties of strongly and weakly divisible statistical structures in a Banach space of measures
JO  - Teoriâ slučajnyh processov
PY  - 2010
SP  - 120
EP  - 125
VL  - 16
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/THSP_2010_16_2_a11/
LA  - en
ID  - THSP_2010_16_2_a11
ER  - 
%0 Journal Article
%A G. Sokhadze
%A Z. Zerakidze
%T Some properties of strongly and weakly divisible statistical structures in a Banach space of measures
%J Teoriâ slučajnyh processov
%D 2010
%P 120-125
%V 16
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/THSP_2010_16_2_a11/
%G en
%F THSP_2010_16_2_a11
G. Sokhadze; Z. Zerakidze. Some properties of strongly and weakly divisible statistical structures in a Banach space of measures. Teoriâ slučajnyh processov, Tome 16 (2010) no. 2, pp. 120-125. http://geodesic.mathdoc.fr/item/THSP_2010_16_2_a11/

[1] I. M. Ibramkhalilov, A. V. Skorokhod, Consistent Estimates of the Parameters of Random Processes, Naukova Dumka, Kiev, 1980 (in Russian)

[2] Z. S. Zerakidze, “The structure of a family of probability measures”, Soobshch. Akad. Nauk Gruzin. SSR, 113:1 (1984), 37–39

[3] Z. S. Zerakidze, “Banach space of measures”, Probability Theory and Mathematical Statistics (Vilnius, 1989), v. II, Mokslas, Vilnius, 1990, 609–616

[4] T. Jech, Set Theory, Springer, Berlin, 2003