On the Concept of <i>A</i>-Statistical Uniform Integrability and the Law of Large Numbers

Giuliano Antonini R., Unver M., Volodin A.

LOBACHEVSKII JOURNAL OF MATHEMATICS, cilt.40, sa.12, ss.2034-2042, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 12
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1134/s1995080219120035
  • Dergi Adı: LOBACHEVSKII JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.2034-2042
  • Anahtar Kelimeler: Sequence of random variables, uniform integrability, statistical convergence, APPROXIMATION THEOREMS, RANDOM-VARIABLES, WEIGHTED SUMS, CONVERGENCE, SUMMABILITY, OPERATORS, SPACES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the concept of A-statistical uniform integrability of sequences of random variables which is not only more general than the concept of uniform integrability, but is also weaker than the concept of uniform integrability. We also give some characterizations of A-statistical uniform integrability and prove a law of large numbers.