Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/9815
Title: SOME CHARACTERIZATIONS ON STATISTICAL CONVERGENCE OF EXPECTED VALUES OF RANDOM VARIABLES
Authors: Duman, Oktay
Gürcan, Mehmet
Keywords: A-statistical convergence
mathematical expectation
variance
the Chebyshev inequality
q-Bernstein polynomials
Issue Date: 2010
Publisher: Univ Prishtines
Abstract: Let (Y-n) be a sequence of random variables whose probability distributions depend on x is an element of [a, b]. It is well-known that if {E (Y-n - x)(2)} converges uniformly to zero on [a, b], then, for all f is an element of C[a, b], {E (f (Y-n))1 is uniformly convergent to f on [a, b], where E denotes the mathematical expectation. In this paper, we mainly improve this result via the concept of statistical convergence from the summability theory, which is a weaker method than the usual convergence. Furthermore, we construct an example such that our new result is applicable while the classical one is not.
URI: https://hdl.handle.net/20.500.11851/9815
ISSN: 2217-3412
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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