On some properties of vague convergences

• Autorzy: Startek M.
• Języki publikacji: EN

Abstrakty

EN

In this paper is proved that if {X(sub n), n ≥ 1} is a sequence of noncovariant random elements and {X(sub n)} converges vaguely essentionaly or vaguely almost surely to a random element X then X is a degenerated random element. Moreover is given a condition which is necessary and sufficient to equivalence vague essentionaly and vague almost surely convergences.

Słowa kluczowe

EN

random elements; convergences; vague convergence

PL

składniki losowe; zbieżności

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2006
• Tom: Vol. 28
• Strony: 131--135
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Startek M.

• Department of Mathematics Rzeszów University of Technology ul. W. Pola 2, 35-359 Rzeszów, Poland,

Bibliografia

• [1] Startek, M., Szynal, D., On Types of Convergence of a Sequence of Defective Random Elements, Ann. UMCS, Sec. A, Vol. L, (1996), 219 239.
• [2] Szynal, D., Zięba, W, On some Type of Convergence in Law, Bull. Acad. Pol. Sci. Ser. Math., Astr. et Phis., 22, (11), (1974), 1143-1149.
• [3] Zięba, W., On the Zero-one Law for some Classes of Dependent Random Elements, Acta Univ. Lodz., Ser. II, 17, (1977), 149-154.