A new approximation for the chi-square integral-Reference-Cited by-同舟云学术

A new approximation for the chi-square integral

Published:1969 Issue:105 Volume:23 Page:85-89
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Gray H. L.,Thompson R. W.,McWilliams G. V.

Abstract

In this paper a new method for estimating the value of an improper integral by a finite sum is introduced. In particular, the method is applied to the Chi-Square integral and proves to be of some value in estimating the value of this integral for values equal or greater than .9.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1969-23-105/S0025-5718-1969-0238470-5/S0025-5718-1969-0238470-5.pdf

Reference5 articles.

1. National Bureau of Standards Applied Mathematics Series, No. 55;Abramowitz, Milton,1964

2. Nonlinear transformations related to the evaluation of improper integrals. I;Gray, H. L.;SIAM J. Numer. Anal.,1967

3. Nonlinear transformations related to the evaluation of improper integrals. II;Atchison, T. A.;SIAM J. Numer. Anal.,1968

4. H. L. Gray & W. R. Schucany, “On the evaluation of distribution functions,” J. Amer. Statist. Assoc., v. 63, 1968, pp. 715–720.

5. On the evaluation of the incomplete gamma function;Takenaga, Roy;Math. Comp.,1966

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