There exists a seemingly evident but not explicitly noted property of a polynomial function: a mean value of its roots equals the mean value of the locations of its critical points – those could be the extrema and inflexion points. This note states a theorem on it, and describes some...

Estimation of a variable’s dependence against another one is considered in a new approach based on a Coefficient of Structural Association (CSA). This method profiles the distribution of one variable along the segments formed by another one, and yields a gauge similar to the coefficient of...

The Bradley-Terry model (BT) is commonly used for evaluation of choice preferences by paired comparison data in various areas of applied psychology, advertising, and marketing research. The estimation of BT parameters of preference is usually achieved in an iterative procedure based on the...

Lazarsfeld's Latent Structure Analysis (LSA) is applied to problems in marketing involving the choice of products with maximum customer coverage. The LSA is combined with Total Unduplicated Reach and Frequency (TURF) technique, and also with a tool from cooperative game theory, the Shapley Value...

Recent research has indicated that flexible forms do not always generate empirically credible elasticity estimates. In this paper we present a methodology from which we derive a new family of flexible functional forms (denoted by CES-GBC) that are richer in structure than the cost functions in...