Geodesic
About function of distribution of indicators
News of the Kabardin-Balkar scientific center of RAS, no. 3 (2017), pp. 20-25 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The article is devoted to methods of constructing the function of distribution of indicators of a regional social and economic system development in terms of size based on: theoretical schemes for substance fragmentation statistics, aggregation of particles in disperse systems, the economic and statistical model, the law of large numbers and limit theorems. To reduce the application complexity of complex distribution functions in solving theoretical and practical problems, one can use their approximation with the help of a gamma distribution.
Keywords: distribution function, scheme of substance crushing according to A.N. Kolmogorov, scheme of aggregation according to M. Smolukhovsky, nonstationary kinetic equation, economic and statistical model of Ayvazyan - Loginov, the law of large numbers, limit theorems of statistics. 
@article{IZKAB_2017_3_a2,
     author = {Kh. Kh. Kalazhokov and F. Kh. Uvizheva},
     title = {About function of distribution of indicators},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {20--25},
     year = {2017},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2017_3_a2/}
}
TY  - JOUR
AU  - Kh. Kh. Kalazhokov
AU  - F. Kh. Uvizheva
TI  - About function of distribution of indicators
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2017
SP  - 20
EP  - 25
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2017_3_a2/
LA  - ru
ID  - IZKAB_2017_3_a2
ER  - 
%0 Journal Article
%A Kh. Kh. Kalazhokov
%A F. Kh. Uvizheva
%T About function of distribution of indicators
%J News of the Kabardin-Balkar scientific center of RAS
%D 2017
%P 20-25
%N 3
%U http://geodesic.mathdoc.fr/item/IZKAB_2017_3_a2/
%G ru
%F IZKAB_2017_3_a2
Kh. Kh. Kalazhokov; F. Kh. Uvizheva. About function of distribution of indicators. News of the Kabardin-Balkar scientific center of RAS, no. 3 (2017), pp. 20-25. http://geodesic.mathdoc.fr/item/IZKAB_2017_3_a2/

[1] A. N. Kolmogorov, “O logarifmicheski normalnom zakone raspredeleniya razmerov chastits pri droblenii”, DAN SSSR, 31:2 (1941)

[2] L. M. Levin, Issledovaniya po fizike grubodispersnykh aerozolei, Izdatelstvo AN SSSR, M., 1961, 268 pp.

[3] A. Khald, Matematicheskaya statistika s tekhnicheskimi prilozheniyami, Izdatelstvo inostrannoi literatury, M., 1956, 115 pp.

[4] M. Smolukhovskii, Opyt matematicheskoi teorii kinetiki koagulyatsii kolloidnykh rastvorov, sb. «Koagulyatsiya rastvorov», ONTI, M.-L., 1936, 20 pp.

[5] Kh. Kh. Kalazhokov, Matematicheskoe modelirovanie oblachnykh protsessov, IIPRU KBNTs RAN, Nalchik, 2003

[6] S. A. Aivazyan, “Veroyatnostno-statisticheskoe modelirovanie raspredelitelnykh otnoshenii v obschestve”, sb. «Statisticheskoe modelirovanie ekonomicheskikh protsessov», AN SSSR, TsEMI, v. 78, Statistika, M., 1980, 104 pp.

[7] E. I. Pustylnik, Statisticheskie metody analiza i obrabotki nablyudenii, Nauka, M., 1968 | MR

[8] G. P. Basharin, “O statisticheskoi otsenke entropii posledovatelnosti nezavisimykh sluchainykh velichin”, Teoriya veroyatnosti i ee primenenie, IV:3 (1959)

[9] S. M. Ermakov, G. A. Mikhailov, Kurs statisticheskogo modelirovaniya, Nauka, M., 1976, 320 pp. | MR