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Some bounds on the distribution functions of linear combinations and applications

Published:1977-12 Issue:1 Volume:29 Page:89-100
ISSN:0020-3157
Container-title:Annals of the Institute of Statistical Mathematics
language:en
Short-container-title:Ann Inst Stat Math

Author:

Mudholkar Govind S.,Dalal Siddhartha R.

Publisher

Springer Science and Business Media LLC

Subject

Statistics and Probability

Link

http://link.springer.com/content/pdf/10.1007/BF02532777.pdf

Reference14 articles.

1. Anderson, T. W. (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities,Proc. Amer. Math. Soc.,6, 170–176.

2. Beckenbach, E. and Bellman, R. (1961).Inequalities, Springer-Verlag, New York.

3. Box, G. E. P. (1954). Some theorems on quadratic forms applied in the study of analysis of variance problems, I. Effect of inequality of variance in the one way classification,Ann. Math. Statist.,25, 290–302.

4. Fleiss, J. L. (1971). Distribution of a liner combination of independent Chi squares,J. Amer. Statist. Ass.,66, 142–144.

5. Gleser, L. J. (1972). On a new class of bounds for the distribution of quadratic forms in normal variates,J. Amer. Statist. Ass.,67, 655–659.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Inequalities: Theory of Majorization and Its Applications;Springer Series in Statistics;2011

2. Bibliography;Probability Inequalities in Multivariate Distributions;1980

3. References;Mathematics in Science and Engineering;1979

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