Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 34-39
Citer cet article
M. Karim. A manner on the moments’ evaluation of Waring Distributions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 34-39. http://geodesic.mathdoc.fr/item/UZERU_2008_1_a4/
@article{UZERU_2008_1_a4,
author = {M. Karim},
title = {A manner on the moments{\textquoteright} evaluation of {Waring} {Distributions}},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {34--39},
year = {2008},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZERU_2008_1_a4/}
}
TY - JOUR
AU - M. Karim
TI - A manner on the moments’ evaluation of Waring Distributions
JO - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY - 2008
SP - 34
EP - 39
IS - 1
UR - http://geodesic.mathdoc.fr/item/UZERU_2008_1_a4/
LA - ru
ID - UZERU_2008_1_a4
ER -
%0 Journal Article
%A M. Karim
%T A manner on the moments’ evaluation of Waring Distributions
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2008
%P 34-39
%N 1
%U http://geodesic.mathdoc.fr/item/UZERU_2008_1_a4/
%G ru
%F UZERU_2008_1_a4
In the present paper conditions on moments' convergence for Waring Distributions are obtained from the point of view of regularly varying functions. Under these conditions a manner on the moments' evaluation is suggested and the results for mean value and variance are presented.
[1] V.A. Kuznetsov, “Family of skewed distributions associated with the gene expression and proteome evolution”, Signal Processing, 83:4 (2003), 889–910 | DOI | Zbl
[2] J. Astola, E. Danielian, “On Regularly Varying Skewed Distributions generated by Birth-Death Process”, Facta Universitatis (NiŠ), 19 (2006), 109–131 | DOI
[3] J. Astola, E. Danielyan, “Regularly Varying Distributions generated by Birth-Death Process”, TICSP, 27, Tampere, 2004, 1–94
[4] I.S. Granshteyn, I.M. Ryznik, Table of Integrals, Series and Products, Academic Press, NY–London, 1965 | MR
[5] S.A. Kauffman, The Origins of Order: Self-Organization and Selection in Evolutions, Oxford University Press, NY, 1993
[6] W. Feller, An Introduction to Probability Theory and its Applications, v. 2, ed. First Edition, John Wiley and Sons, 1966 | MR | Zbl
