Scattered polynomials of a given index over finite fields are intriguing rare objects with many connections within mathematics. Of particular interest the exceptional ones, as defined in 2018 by first author and Zhou, for which partial classification results known. In this paper we propose unified algebraic description <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="...

Abstract We consider situations where a model for an ordered categorical response variable is deemed necessary. Standard models may not be suited to perform this analysis, being that the marginal probability effects large extent are predetermined by rigid parametric structure. propose use rank likelihood approach in non Gaussian framework and show how additional flexibility can gained modeling ...