KATTA SONLAR QONUNI VA UNING BOSHQA SOHALARDAGI TADBIQLARI
Keywords:
Katta sonlar qonuni, ehtimollar nazariyasi, statistik tahlil, bashoratlash, iqtisodiyot, sun`iy intellekt, investitsiya, moliyaviy tahlil, epidemiologiya,Chebyshev tengsizligi,Markov tengsizligi.Abstract
Katta sonlar qonuni (KSQ) ehtimollar nazariyasining asosiy tamoyillaridan biri bo`lib, tasodifiy hodisalarning uzoq muddatli natijalarini o`rganishda muhim ahamiyatga ega. Ushbu maqolada KSQ ning matematik ta`rifi, kuchli va kuchsiz variantlari hamda real hayotdagi qo`llanilishi tahlil qilinadi. Ayniqsa, iqtisodiyot, tahlil va bashoratlash sohalarida KSQ ning roli batafsil yoritiladi. Moliyaviy tahlil, sug`urta, sun`iy intellekt va epidemologiya kabi sohalarda KSQ ning amaliy tadbiqlari misollar bilan tushuntiriladi. Shuningdek, katta sonlar qonunining cheklovlari va uning real hayotdagi to`g`ri qo`llash usullari muhokama qilinadi.
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References
.Feller, W. (1968). An Introduction to Probability Theory and Its Applications. Wiley.
.Ross, S. M. (2014). Introduction to Probability Models. Academic Press.
.Grimmett, G., & Stirzaker, D. (2001). Probability and Random Processes. Oxford University Press.
.Klenke, A. (2014). Probability Theory: A Comprehensive Course. Springer.
.Durrett, R. (2019). Probability: Theory and Examples. Cambridge University Press.
.Chung, K. L. (2001). A Course in Probability Theory. Academic Press.
.Billingsley, P. (1995). Probability and Measure. Wiley.
.Papoulis, A., & Pillai, S. U. (2002). Probability, Random Variables, and Stochastic Processes. McGraw-Hill.
.Shiryaev, A. N. (1996). Probability. Springer.
.Breiman, L. (1992). Probability. SIAM.