COGNITIVE PEDAGOGICAL APPROACHES TO STATISTICAL STABILITY WITH RANDOM SAMPLE SIZES
The study is devoted to the stability of terms of the variationalseries formed a random number of observations. The independence of the
number of observations from the observed quantiles themselves is not required
1. Smirnov N.V. Theory of Probability and Mathematical Statistics. Selected Works, Moscow: Nauka, 1970.
2. Gnegenko B. V., Fahkin G. On a transfer theorem. Reports of the Academy of Sciences of the USSR. 1969. V.187. No. 1 P. 15-17.
3. Azlarov T. A. Dzhamirzaev A,A., On relative stability for sums of a random number of random variables. Bulleten of the AS UzSSR,
series of physical and mathematical sciences.1972. No.2. P. 7-14.
4. Harald Gramer. Mathematical methods of statistics. Moscow. 1975. 648 p.
5. Kruglov V.M., Korolev V. Yu. Limit theorems for random sums. Moscow: Moscov State University, 1990. 269 p.
6. Dzamirzayev A.A., Mamurov I,N., Transfer theorems. Monograph. Tashkemt, 2009.
7. Mamurov I. N., Asymptotic distribution of the central variation terms in the case of random sampling volume. Turkish Online
Journal of Qualitative Inquiry. V. 12, Issue 7, July 2021, 4626-4634.
8. Аzlarov T. A., Djamirzayev A.A., Abdullayev A. G., Remarks to limit theorems for random variables sequences with random index
Probability theory and Math. Stat. 1987. Vol. 1.
9. Abdullayev A. G., Mamurov I. N., - Limit theorem for a statistic proposed By V. Hefdling В «International bulletin of applied
science and technology», ZENODO. Norvegiya, 2024. v.4, No 11, p. 13-17.
10. Formanov Sh. K., Khamdamov I. M. On joint probability distribution of the number of vertices and area of the convex hulls generated
by a Poisson point process, Statist. Probab. Lett., V. 169, 2021, 7 p
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