%0 Journal Article %1 1983 %A Hall, Peter %D 1983 %I Institute of Mathematical Statistics %J The Annals of Probability %K central-limit-theorem chisquare distributions %N 4 %P pp. 1028-1036 %T Chi Squared Approximations to the Distribution of a Sum of Independent Random Variables %U http://www.jstor.org/stable/2243514 %V 11 %X We suggest several Chi squared approximations to the distribution of a sum of independent random variables, and derive asymptotic expansions which show that the error of approximation is of order n-1 as n → ∞. The error may be reduced to n-3/2 by making a simple secondary approximation.

@article{1983, abstract = {We suggest several Chi squared approximations to the distribution of a sum of independent random variables, and derive asymptotic expansions which show that the error of approximation is of order n-1 as n → ∞. The error may be reduced to n-3/2 by making a simple secondary approximation.}, added-at = {2015-04-06T18:43:04.000+0200}, author = {Hall, Peter}, biburl = {https://www.bibsonomy.org/bibtex/232a9d88a18cab8f41f00a49d2ba615b2/shabbychef}, copyright = {Copyright © 1983 Institute of Mathematical Statistics}, description = {JSTOR: The Annals of Probability, Vol. 11, No. 4 (Nov., 1983), pp. 1028-1036}, interhash = {3c679bc7ce94950e432146ba1b8e8998}, intrahash = {32a9d88a18cab8f41f00a49d2ba615b2}, issn = {00911798}, journal = {The Annals of Probability}, jstor_articletype = {research-article}, jstor_formatteddate = {Nov., 1983}, keywords = {central-limit-theorem chisquare distributions}, language = {English}, number = 4, pages = {pp. 1028-1036}, publisher = {Institute of Mathematical Statistics}, timestamp = {2015-04-06T18:43:04.000+0200}, title = {Chi Squared Approximations to the Distribution of a Sum of Independent Random Variables}, url = {http://www.jstor.org/stable/2243514}, volume = 11, year = 1983 }