Harnrnond and Johnson (1) have called attention to the potential usefulness of the Ham and Walsh functions in engineering applications. In this note two other systems of orthogonal function8 are described which are jinite linear combination8 of square-wave functions. These function8 have the same a
The distribution function of a linear combination of chi-squares
โ Scribed by P.G. Moschopoulos; W.B. Canada
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 278 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
The distribution function of a linear combination of independent central chi-square random variables is obtained in a straightfoward manner by inverting the moment generating function. The distribution is expressed as an infinite gamma series whose terms can be computed efficiently to a sufficient degree of accuracy.
๐ SIMILAR VOLUMES
Equations ( 16) to ( 19) in the paper with the above title [Europ. Polym. J. 9, 805 (1973)] are incorrect. They become correct if M~ + ~ is multiplied everywhere by M~,flvlz (r/= E, L or N; same meanings for symbols as before). This correction modifies slightly the coefficients and mean quadratic de