Tail Properties of Pearson Statistics Distributions
DOI:
https://doi.org/10.17713/ajs.v40i1&2.196Abstract
By means of exact computation of Pearson statistics distributions we illustrate some differences between their tails and tails of corresponding chi-square distributions.References
Filina, M. V., and Zubkov, A. M. (2008). Exact computation of Pearson statistics distribution and some experimental results. Austrian Journal of Statistics, 37, 129-135.
Good, I. J., Gover, T. N., and Mitchell, G. J. (1970). Exact distributions for chi^2 and for likelihood-ratio statistic for the equiprobable multinomial distribution. Journal of the American Statistical Association, 65, 267-283.
Holzman, G. I., and Good, I. J. (1986). The Poisson and chi-squared approximation as compared with the true upper-tail probability of Pearson’s chi^2 for equiprobable multinomials. Journal of Statistical Planning and Inference, 13, 283-295.
Zubkov, A. M. (1996). Recurrent formulae for distributions of functions of discrete random variables (in Russian). Obozr. prikl. prom. matem., 3, 567-573.
Zubkov, A. M. (2002). Computational methods for distributions of sums of random variables (in Russian). In Trudy po diskretnoi matematike (Vol. 5, p. 51-60). Moscow: Fismatlit.
Downloads
Published
How to Cite
Issue
Section
License
The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License.
The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed.
Copyright on any research article published by the Austrian Journal of Statistics is retained by the author(s). Authors grant the Austrian Journal of Statistics a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
Manuscripts should be unpublished and not be under consideration for publication elsewhere. By submitting an article, the author(s) certify that the article is their original work, that they have the right to submit the article for publication, and that they can grant the above license.