We extend nonparametric generalized linear models to allow both the mean curve and the response distribution to be nonparametric. The seemingly intractable task of working with two infinite-dimensional parameters is shown to be reducible to a finite optimization problem, which is easily implemented via existing algorithms. We demonstrate using various examples that the proposed approach can be ...

There is an especially strong need in modern largescale data analysis to prioritize samples for manual inspection. For example, the inspection could target important mislabeled samples or key vulnerabilities exploitable by an adversarial attack. In order to solve the “needle in the haystack" problem of which samples to inspect, we develop a new scalable version of Cook’s distance, a classical s...

We propose a class of double hierarchical generalized linear models in which random effects can be specified for both the mean and dispersion. Heteroscedasticity between clusters can be modelled by introducing random effects in the dispersion model, as is heterogeneity between clusters in the mean model.This class will, among other things, enable models with heavy-tailed distributions to be exp...

Association models for a pair of random elements X and Y (e.g., vectors) are considered which specify the odds ratio function up to an unknown parameter θ. These models are shown to be semiparametric in the sense that they do not restrict the marginal distributions of X and Y . Inference for the odds ratio parameter θ may be obtained from sampling either Y conditionally on X or vice versa. Gene...

Linear and generalised linear models: A student who has covered Chapters 8 and 10.110.4 of Statistical Models by A. C. Davison (Cambridge University Press, 2003) will be more than adequately prepared for the APTS module. For students without access to this book, the main theory is repeated below. The inference methodology described is largely based on classical statistical theory. Although prio...

This paper aims at studying the impact of the colors of e-commerce websites on consumer memorization and buying intention. Based on a literature review we wish to introduce the theoretical and methodological bases addressing this issue. A conceptual model is proposed, showing the effects of the color of the e-commerce website and of its components Hue, Brightness and Saturation, on the behavior...