143
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

On the Computation of Non-Central Chi-Square Distribution Function

&
Pages 1279-1291 | Received 01 May 1990, Published online: 27 Jun 2007

References

  • Abdel-Aty , S. H. 1954 . Approximate formula for the percentage points and the probability integral of the non-central x2–distribution . Biometrika , 41 : 538 – 540 .
  • Abdel-Samad , A. I. 1989 . “ Approximations for the noncentral distributions ” . Egypt : Cairo University . unpublished M.Sc. I.S.S.R
  • Abromowitz , Milton and Stegun , eds. 1965 . Hand Book of Mathematical functions with formulas, Graphs, and Mathematical Tables , Washington , D.C. : U.S. Government printng-office . National Bureau of Standards, Applied Mathematics Series No. 55
  • Ashour , S. K. 1972 . “ Some non-central distributions expressed as a mixture of central distribution functions ” . , , , Egypt : Cairo University . unpublished M.Sc. Institute of Statistical Studies and Research
  • Cameron , M. A. 1975 . An extension of Ruben's results on the probability integral of non-central chi-square . Commun. Statist. , 4 ( B ) : 783 – 786 .
  • Chou , Y. M. , Arthur , K. H. and Rosenstein , R. B. 1984 . New representations of the noncentral chi-square density and cumulative . Communications in Statistics, Theory and Methods , A13 ( 21 ) : 2673 – 2678 .
  • Fisher , R. A. The General Sampling distribution of multiple correlation coefficient . Proc. Roy. Soc. Lond. Vol. 121A , pp. 654 – 673 .
  • Guenther , W. C. 1978 . Evaluation of probabilities for the non-central distribution and difference of two T-variables with a desk calculator . J.Statist, Comp. Simul. , 6 : 199 – 206 .
  • Han , C. P. 1978 . On the computation of non-central chi-square distribution . J. Statist. Comp. Simul. , 6 : 207 – 210 .
  • Han , C. P. 1979 . On the computation of non-central chi-squared distribution with even degrees of freedom . J. Statist. Comp. Simul. , 9 : 25 – 29 .
  • Page , E. 1977 . Approximations to the coumulative normal function and its inverse for use on a pocket calculator . Applied Statistics , 26 : 1 – 75 .
  • Patnaik , P. B. 1949 . The non-central x2 and F-distribution and their applications . Biometrika , 36 : 303 – 332 .
  • Ruben , H. 1974 . A new results on the probability integral of non-central chi-squared with even degrees of freedom . commun. Statist. , 13 : 473 – 476 .
  • Sankaran , M. 1959 . On the non-central chi-square distribution . Biometrika , 46 : 235 – 237 .
  • Sankaran , M. 1963 . Approximations to the non-central chi-square distribution . Biometrika , 50 : 199 – 204 .
  • Shea , B. L. 1988 . Chi-squared and incomplete Gamma integral . Apllied Statistics , 37 : 466 – 473 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.