On the transfer theorems for observed and unobserved random variables

• Autorzy: Krajka Tomasz

Identyfikatory

DOI

10.37190/0208-4147.41.2.9

• Języki publikacji: EN

Abstrakty

EN

We characterize the possible weak limits of [Formula} for a sequence {є_n,n ≥ 1} of independent random variables [Formula] and a non-random variables (P[є_n Є {0,1}] = 1 for n ≥ 1) and a non-random normalizing sequence {k_n,n ≥ 1} of positive reals. We consider two cases: when {X_n, n ≥ 1} and {є_n, n ≥ 1} are independent or dependent. In the first case we obtain results generalizing transfer theorems, whereas in the other case, only a partial characterization was possible.

Słowa kluczowe

EN

transfer theorem; weak limits; random variables

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2021
• Tom: Vol. 41, Fasc. 2
• Strony: 359--371
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Krajka Tomasz

• Division of Mathematics, Department of Production Computerisation and Robotisation, Mechanical Engineering Faculty, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, Poland

Bibliografia

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