On the distribution of difference of quadratic forms and ratios of differences of quadratic forms in normal random variables

Author

al-Qasim, A. A.

Source

Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series

Issue

Vol. 11, Issue 5 (30 Nov. 1996), pp.31-56, 26 p.

Publisher

Mutah University Deanship of Academic Research

Publication Date

1996-11-30

Country of Publication

Jordan

No. of Pages

26

Main Subjects

Mathematics

Abstract EN

This paper will address the differences if chi-square random variables and the ratios of such differences.

A binomial series expansion will be used to derive &e distribution of the difference of two chi-square random variables.

The probability distribution function as well as the cumulative distribution function will be derived for ratios of differences of chi-square random variables.

A computer program is constructed to compute the c.d.f.

values for such ratio.

An application of the above toinference in cross classification problems will be given.

American Psychological Association (APA)

al-Qasim, A. A.. 1996. On the distribution of difference of quadratic forms and ratios of differences of quadratic forms in normal random variables. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 11, no. 5, pp.31-56.
https://search.emarefa.net/detail/BIM-396371

Modern Language Association (MLA)

al-Qasim, A. A.. On the distribution of difference of quadratic forms and ratios of differences of quadratic forms in normal random variables. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 11, no. 5 (Nov. 1996), pp.31-56.
https://search.emarefa.net/detail/BIM-396371

American Medical Association (AMA)

al-Qasim, A. A.. On the distribution of difference of quadratic forms and ratios of differences of quadratic forms in normal random variables. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 1996. Vol. 11, no. 5, pp.31-56.
https://search.emarefa.net/detail/BIM-396371

Data Type

Journal Articles

Language

English

Notes

Includes appendix : p. 51-56

Record ID

BIM-396371