Modelling texture discrimination asymmetries using quadratic forms of random variables

Some Probability Inequalities for Quadratic Forms of Negatively Dependent Subgaussian Random Variables

In this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables. In particular the law of iterated logarithm for quadratic forms of independent subgaussian random variables is generalized to the case of negatively dependent subgaussian random variables.

I the Distributions of Quadratic Forms on Normal Random Variables

some probability inequalities for quadratic forms of negatively dependent subgaussian random variables

in this paper, we obtain the upper exponential bounds for the tail probabilities of the quadratic forms for negatively dependent subgaussian random variables. in particular the law of iterated logarithm for quadratic forms of independent subgaussian random variables is generalized to the case of negatively dependent subgaussian random variables.

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.

Partial Quadratic Entropy of Uncertain Random Variables

Partial entropy is a measure to characterize how much of entropy of an uncertain random variable belongs to uncertain variables. In this paper, a definition of partial quadratic entropy of uncertain random variables is proposed. Furthermore, some properties of partial quadratic entropy are derived such as positive linearity. c ©2016 World Academic Press, UK. All rights reserved.