McCullagh

McCullagh refers most commonly to Peter McCullagh (born 1952), an Irish statistician known for his significant contributions to generalized linear models (GLMs) and tensor methods in statistics. He is currently a professor of statistics at the University of Chicago.

McCullagh's work on GLMs, often in collaboration with John Nelder, significantly expanded the application of linear models to non-normal data and introduced a unified framework for analyzing a wide range of statistical models. This framework allows for the modeling of the relationship between a linear predictor and the mean of the response variable through a link function, accommodating response variables with different distributions such as binomial, Poisson, and gamma.

His research also extends to the study of higher-order asymptotics, saddlepoint approximations, and the development of tensor methods for statistical inference. These methods provide powerful tools for analyzing complex data structures and extracting meaningful insights.

McCullagh is the author of several influential books, including "Generalized Linear Models" (with John Nelder), "Tensor Methods in Statistics," and "What is a model?" These books are widely used in graduate-level statistics courses and are considered essential reading for statisticians working in the field.

His contributions to statistics have been recognized through numerous awards and honors, solidifying his position as a leading figure in the field.