Distribution of Quadratic Forms and Ratios of Quadratic Forms

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

On the Distribution of Matrix Quadratic Forms

Martin Ohlson and Timo Koski, On the Distribution of Matrix Quadratic Forms, 2012, Communications in Statistics Theory and Methods, (41), 18, 3403-315. Communications in Statistics Theory and Methods is available online at informaworld TM : http://dx.doi.org/10.1080/03610926.2011.563009 Copyright: Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis http://www....

Representation of Quadratic Forms by Integral Quadratic Forms

Asymptotic Distribution of Quadratic Forms If

We consider quadratic forms Q n = X 1j<kn a jk X j X k ; where X j are i.i.d. random variables with nite third moment. We obtain optimal bounds for the Kolmogorov distance between the distribution of Q n and the distribution of the same quadratic forms with X j replaced by corresponding Gaussian random variables.

Representation of Quadratic forms