Multiple mutual informations and multiple interactions in frequency data
Generate an AI Snapshot to get a quick, structured summary of this paper.
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
The concept of semi-independence is introduced as a finer one of the concept of independence in the ordinary sense, and is used to interpret various multiple interactions of frequency data with general n -way.
Abstract
McGill's multiple mutual informations are useful to systematically describe multiple interactions of frequency data with general n -way. The asymptotic behaviour of the maximum likelihood estimators of them is analysed in terms of mutually independent X 2 -distributions. On the basis of the results, the concept of semi-independence is introduced as a finer one of the concept of independence in the ordinary sense, and is used to interpret various multiple interactions.