STRONG LAW OF LARGE NUMBERS FOR BANACH SPACE-VALUED RANDOM FIELDS WITH WEIGHTS
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Cheksiz o‘lchamli fazolarda qiymat qabul qiluvchi tasodifiy maydonlarni ko‘rib chiqamiz. Tasodifiy
maydonlarni bog‘liqsiz bir xil taqsimlangan tasodifiy miqdorlardan tuzilgan tasodifiy maydonlarning
funksionali sifatida yozish mumkin deb faraz qilamiz. Bunday tasodifiy maydonlar uchun biz
kuchaytirilgan katta sonlar qonunini isbotlaymiz.
1. Machkouri M. E., Volny D., Wu W. B. A central limit theorem for stationary random fields. Stochastic
Processes and their Applications, 2013, V.123, P.1-14.
2. Bosq D. Linear processes in function spaces. Theory and applications. Lect. Notes in Statist, 2000, V.149,
Springer-Verlag.
3. Parpieva N. T. Strong law of large numbers for weakly dependent random fields with values in some
Banach spaces. Uzbek Mathematical Journal, 2002, 2, P.59-64. (Russian)
4. Ruzieva D. S., Sharipov O. Sh. Central limit theorem for weakly dependent random felds with values in
lp(1 p 2) and c0 spaces. Uzbek Mathematical Journal, 2020, 1, P.130-136.
5. Ruzieva D. S. Strong law of large numbers for random fields with values in infinite dimensional spaces.
Bull. Inst. Math., 2024, V.7(4), P.70-75.
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