Generalization of Korovkin type approximation by appropriate random variables & moments and an application in medicine
Küçük Resim Yok
Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper is mainly connected with the approximation properties of the positive linear operators which are representative expectation of some random variables. Firstly, it was introduced the generalizations of Korovkin type approximation theorem via the probabilistic methods. Also, it was computed the rates of convergence by means of modulus of continuity and moments of some random variables. Finally, some important results of the approximation theory were obtained; one of these important results is the difference between using appropriate operator and function and function's derivatives. A medical application performed on hypothetical data to the statistical significance of the findings has been mentioned. © 2011 Pakistan Journal of Statistics.
Açıklama
Anahtar Kelimeler
Central moment, Distribution function, Expectation operator, Expected value, Linear positive operator, Modulus continuity, Probability density function
Kaynak
Pakistan Journal of Statistics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
27
Sayı
3
