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VERIFICATION OF THE VACCINATION PROCESS USING PREARSON’S CHI-SQUARE GOODNESS-OF-FIT TEST

Authors

  • Hamdamov Ahad Hamroyevich Tashkent State University of Economics Lecturer, Department of Higher and Applied Mathematics Phone: +998 99-876-51-14 e-mail:[email protected] Author
  • Maxmatqulova Hikoyat G‘iyosiddin qizi Tashkent State University of Economics Lecturer, Department of Higher and Applied Mathematics Phone: +998 88-035-08-96 e-mail:[email protected] Author

Keywords:

Vaccine, vaccination, hypothesis, critical region, criterion, theoretical distribution, empirical observation, Kolmogorov’s goodness-of-fit test, Pearson’s chi-square goodness-of-fit test.

Abstract

In this article, vaccination indicators collected from various regions of the country over the past three years (2022–2024) were selected as the object of study. The data were compiled based on open statistical databases of the Ministry of Health and reports from district medical associations. The observed values were grouped by the number of vaccinated individuals, the share of unvaccinated individuals, cases of revaccination, and age categories. Theoretical probabilities for each group were determined based on medical standards and the epidemiological dynamics of previous years, and the degree of conformity was calculated using the χ² (chi-square) formula.

References

1. A.A.Abdushukurov. Ehtimollar nazariyasi va matematik statistika. Toshkent. 2010.

2. Ширяев А.Н. Основы стохастической финансовой математики, том 1 «Факты и модели» и том 2 «Теория» - изд-во ФАЗИС, М., 1998.

3. N. L. Bowers, JR. H. U. Gerber, J. С. Hickman, C. Nesbitt Actuarial mathematics. Published by the society of actuaries, 1997.

4. Q.Sаfаyеvа. Mоliya mаtеmаtikаsi. Darslik. T.: «IQTISOD-MOLIYA», 2012.

5. A.S. Rasulov, G.M. Raimova, X.K. Sarimsakova. Ehtimollar nazariyasi va matematik statistika. Toshkent. 2006.

6. Hamdamov A.H. Moliyaviy operatsiyalarda risklarni baholash. Ta’limning zamonaviy transformatsiyasi. 2024. 7-8 b.

7. Hamdamov A.H, To‘rayev A.T, Shamsiyeva O‘.N. (2025). Statistical Analysis of the Relationship Between Speed and Stopping Distance in Transportation Movements. Multidisciplinary Journal of Science and Technology, 5(2), 818–825.

8. Maxmatqulova H.G‘, Hamdamov A.H. Statistical analysis of the population of Kashkadarya region. (2024). №0237, ISSN 2181-4430. pp.1707-1712.

9. Maxmatqulova H.G‘. Qashqadaryo viloyati demografik holatining statistik tahlili. Fars international journal of Education, social science, Humanites. ISSN:2945-4492. (2024). IF-8,09. 1785-1791 b.

10. Maxmatqulova H.G‘, Hamdamov A.H. The Importance of Teaching Probability and Mathematical Statistics to Economics. Excellencia International Multi-Disciplinary journal of Education. Vol-2, Issue 08, 2024. 339-343 b.

Published

2025-11-27

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