On the Distribution of a Quadratic Form
β Scribed by D. N. Shanbhag
- Book ID
- 124289008
- Publisher
- Oxford University Press
- Year
- 1970
- Tongue
- English
- Weight
- 256 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0006-3444
- DOI
- 10.2307/2334959
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper a series representation of the joint density and the joint distribution of a quadratic form and a linear form in normal variables is developed. The expansion makes use of Laguerre polynomials. As an example the calculation of the joint distribution of the mean and the sample variance i
There are many instances in the statistical literature in which inference is based on a normalized quadratic form in a standard normal vector, normalized by the squared length of that vector. Examples include both test statistics (the DurbinβWatson statistic) and estimators (serial correlation