On P-convergence of four dimensional weighted sums of double random variables
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Penerbit Universiti Kebangsaan Malaysia
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The goal of this paper was to present a series of limit theorems that characterizes independent double random variables via four dimensional summability transformation. In order to accomplish this goal we began with the presentation of the following theorem that characterize pairwise independent random variables: let [x?,l] be a double sequence of pairwise independent random variables such that [x?,l] was uniformly integrable. Let [am, n, k, l] be a four dimensional matrix such that (equation presented) ? C for all ordered pair (m, n) and for some C and (equation presented) converges to 0 in probability Then (equation presented) (x?,l E(x?,l) converges in mean to 0. Other extensions and variations via multidimensional transformation shall also be presented.
Açıklama
Anahtar Kelimeler
Double sequences Pringsheim limit point, P-convergent, RH-Regular
Kaynak
Sains Malaysiana
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
45
Sayı
7
