Geodesic
Application of a Weierstrass Theorem to the Convergence of Moments
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 86-90

Voir la notice de l'article provenant de la source Cambridge

DOI

In this note we apply a well-known theorem due to Weierstrass to show that under certain conditions convergence in distribution of a sequence of distribution functions implies the convergence of moments.This note may be understood by an undergraduate student who has an introductory course of complex variables and a second course of statistics. 
Chan, L.K.; Mead, E.R. Application of a Weierstrass Theorem to the Convergence of Moments. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 86-90. doi: 10.4153/CMB-1969-010-2
@article{10_4153_CMB_1969_010_2,
     author = {Chan, L.K. and Mead, E.R.},
     title = {Application of a {Weierstrass} {Theorem} to the {Convergence} of {Moments}},
     journal = {Canadian mathematical bulletin},
     pages = {86--90},
     year = {1969},
     volume = {12},
     number = {1},
     doi = {10.4153/CMB-1969-010-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-010-2/}
}
TY  - JOUR
AU  - Chan, L.K.
AU  - Mead, E.R.
TI  - Application of a Weierstrass Theorem to the Convergence of Moments
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 86
EP  - 90
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-010-2/
DO  - 10.4153/CMB-1969-010-2
ID  - 10_4153_CMB_1969_010_2
ER  - 
%0 Journal Article
%A Chan, L.K.
%A Mead, E.R.
%T Application of a Weierstrass Theorem to the Convergence of Moments
%J Canadian mathematical bulletin
%D 1969
%P 86-90
%V 12
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-010-2/
%R 10.4153/CMB-1969-010-2
%F 10_4153_CMB_1969_010_2

Cité par Sources :