Multiple mutual informations and multiple interactions in frequency data. Sun Han, T. Information and Control, 46(1):26–45, July, 1980.
Multiple mutual informations and multiple interactions in frequency data [link]Paper  doi  abstract   bibtex   
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 X2-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.
@article{sun_han_multiple_1980,
	title = {Multiple mutual informations and multiple interactions in frequency data},
	volume = {46},
	issn = {0019-9958},
	url = {https://www.sciencedirect.com/science/article/pii/S0019995880904787},
	doi = {10.1016/S0019-9958(80)90478-7},
	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 X2-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.},
	language = {en},
	number = {1},
	urldate = {2023-05-21},
	journal = {Information and Control},
	author = {Sun Han, Te},
	month = jul,
	year = {1980},
	pages = {26--45},
	file = {ScienceDirect Full Text PDF:/Users/soumikp/Zotero/storage/DZNJWS6Y/Sun Han - 1980 - Multiple mutual informations and multiple interact.pdf:application/pdf;ScienceDirect Snapshot:/Users/soumikp/Zotero/storage/96AWAR53/S0019995880904787.html:text/html},
}

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