In this paper we introduce and briefly discuss some of the basic results of large-deviation theory. We propose that large-deviation analysis be used as a tool complementary to the usual intermittency analysis because, as we show, systems exhibiting similar factorial moment behaviour may be quite different from the point of view of large-deviation properties. Large-deviation functions for some s...

Statistically independent features can be extracted by nding a factorial representation of a signal distribution. Principal Component Analysis (PCA) accomplishes this for linear correlated and Gaussian distributed signals. Independent Component Analysis (ICA), formalized by Comon (1994), extracts features in the case of linear statistical dependent but not necessarily Gaussian distributed signa...

This document contains proofs and additional experiments for the paper " The Falling Factorial Basis and Its Statistical Applications ". In Section A, we provide proofs to the key technical results in the main paper. In Section B, we give some motivating arguments and additional experiments for the higher order KS test.

1. In poultry investigations, the main interest is often to study the effects of many factors simultaneously. Two or three level factorial designs are the most commonly used for this type of investigation. However, it is often too costly to perform when number of factors increase. So a fractional factorial design, which is a subset or a fraction of a full factorial design, is an alternative. Th...

Fitting response surface models is usually carried out using statistical packages to solve complicated equations in order to produce the estimates of the model coefficients. This paper proposes a new procedure for fitting response surface models to mixed two-level and four-level factorial designs. New and easier formulae are suggested to calculate the linear, quadratic and the interaction coeff...