On the random functional central limit theorems with almost sure convergence for subsequences

• Autorzy: Rychlik Z. , Szuster K. S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we present functional random sum central limit theorems with almost sure convergence for independent nonidentically distributed random variables. We consider the case where the summation random indices and partial sums are independent. In the past decade several authors have investigated the almost sure functional central limit theorems and related 'logarithmic 'limit theorems for partial sums of independent random variables. We extend this theory to almost sure versions of the functional random sum central limit theorems for subsequences.

Słowa kluczowe

EN

almost sure central limit theorem for subsequences; logarithmic averages; Cesaro averages; summation methods; Wiener measure

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 2
• Strony: 283--296
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Rychlik Z.

autor

Szuster K. S.

• Institute Of Mathematics Maria Curie-Sklodowska University Plac M. Curie-Sklodowskiej 1 20-031 Lublin, Poland,

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