Muhandislik ta’limida Bernulli va Puasson taqsimotlarini texnologik jarayonlar misolida o‘qitish metodikasi
DOI:
https://doi.org/10.5281/zenodo.20281668Ключевые слова:
ehtimollar nazariyasi, Bernulli sxemasi, Puasson taqsimoti, muhandislik ta’limi, matematik modellashtirish, texnologik jarayonlar.Аннотация
Ushbu maqolada texnologik mashina va jihozlar yo‘nalishi talabalariga ehtimollar nazariyasining muhim
bo‘limlari – Bernulli sxemasi va Puasson taqsimotini o‘qitishning zamonaviy metodikasi yoritilgan. Asosiy e’tibor nazariy
bilimlarni real ishlab chiqarish jarayonlari bilan integratsiyalash, matematik modellashtirish ko‘nikmalarini shakllantirish
hamda muammoga yo‘naltirilgan o‘qitish usullarini qo‘llashga qaratilgan. Shuningdek, maqolada lokal integral formulalar
yordamida zichlik funksiyasidan ehtimollikka o‘tish hamda texnologik jarayonlarni matematik tahlil qilish usullari ko‘rib
chiqilgan.
Библиографические ссылки
1. Rasulov, A. S., Raimova, G. M., & Sarimsakova, X. K. Ehtimollar nazariyasi va matematik statistika. – Toshkent:
O‘zbekiston Faylasuflari Milliy Jamiyati nashriyoti, 2006. – 450 b.
2. Ruzmetov, K. Sh., & Safarov, O. A. Probability Theory and Mathematical Statistics. – Tashkent: Zilol Buloq Publishing,
2022. – 366 p.
3. Zhumakulov, X. K., Ergashev, A. A., & Abdullaeva, K. Teaching the Subject “Probability Theory” in KSPI Taking into
Account the Modern Educational Conditions of the Republic of Uzbekistan // JournalNX. – 2022. – Vol. 8, No. 12. – P.
262–267.
4. Grinstead, C. M., & Snell, J. L. Introduction to Probability. – American Mathematical Society, 2006. – Open access
textbook.
5. Pishro-Nik, H. Introduction to Probability, Statistics and Random Processes. – Open access textbook for engineering
education.
6. Lefebvre, M. Basic Probability Theory with Applications. – Springer, 2009.
7. Mathai, A. M., & Haubold, H. J. Probability and Statistics: A Course for Physicists and Engineers. – De Gruyter Open,
2018.
8. Sheikh, W. An Intuitive, Application-Based, Simulation-Driven Approach to Teaching Probability and Random Processes
// International Journal of Electrical Engineering Education. – 2019.
9. Ross, S. M. Introduction to Probability Models. – 12th ed. – Academic Press, 2019.
10. Montgomery, D. C., & Runger, G. C. Applied Statistics and Probability for Engineers. – Wiley, 2018.
11. Papoulis, A., & Pillai, S. U. Probability, Random Variables and Stochastic Processes. – McGraw-Hill, 2002.
12. Leon-Garcia, A. Probability, Statistics, and Random Processes for Electrical Engineering. – Pearson Education, 2008.
13. MIT OpenCourseWare. Introduction to Probability. – Massachusetts Institute of Technology, 2018. – Open educational
resource.
14. MIT OpenCourseWare. Theory of Probability. – Massachusetts Institute of Technology, 2014.
15. Byshevets, N. Experience of Application of Modern Means of Education in Practical Lessons on the Probability Theory
// Information Technologies in Education. – 2017.
16. Shiryaev, A. N. Probability. – Springer, 1996.
17. Sobirov, J., & Usanov, K. X. Complete Practical Tasks on Random Variables and Their Distribution Functions // International
Journal of Political Sciences and Economics. – 2026.
18. Feller, W. An Introduction to Probability Theory and Its Applications. – Wiley, 1968.
19. Gnedenko, B. V. The Theory of Probability. – MIR Publishers, Moscow, 1988.
20. Kolmogorov, A. N. Foundations of the Theory of Probability. – Chelsea Publishing Company, New York, 1956.
Загрузки
Опубликован
Выпуск
Раздел
Лицензия
Copyright (c) 2026 MAKTABGACHA VA MAKTAB TA’LIMI JURNALI
Это произведение доступно по лицензии Creative Commons «Attribution» («Атрибуция») 4.0 Всемирная.
