Robin Clayton 1960–2005

Maximum Likelihood Estimation ∗ Clayton

This module introduces the maximum likelihood estimator. We show how the MLE implements the likelihood principle. Methods for computing th MLE are covered. Properties of the MLE are discussed including asymptotic e ciency and invariance under reparameterization. The maximum likelihood estimator (MLE) is an alternative to the minimum variance unbiased estimator (MVUE). For many estimation proble...

Nicola S. Clayton

Nicola Clayton is Professor of Comparative Cognition in the Department of Experimental Psychology at the University of Cambridge, and a Fellow of Clare College. Nicky studies the development and evolution of cognition, and the questions she address are informed by an understanding of biology and psychology. Her work has challenged many of the common-held assumptions that only humans can plan fo...

Clayton et al. respond.

Clayton copula and mixture decomposition

A symbolic variable is often described by a histogram. More generally, it can be provided in the form of a continuous distribution. In this case, the problem is to solve the most frequent problem in data mining, namely: to classify the objects starting from the description of the variables in the form of continuous distributions. A solution is to sample each distribution in a number N of points...

Emergence , Supervenience , and Personal Knowledge Philip Clayton

Michael Polanyi was perhaps the most important emergence theorist of the middle of the 20 th century. As the key link between the British Emergentists of the 1920s and the explosion of emergence theory in the 1990s, he played a crucial role in resisting reductionist interpretations of science and keeping the concept of emergence alive. Polanyi's position on emergence is described and its major ...