Nonextensive Pythagoras' Theorem

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dc.creatorDukkipati, Ambedkar
dc.date2006-11-07
dc.date2007-09-12
dc.date.accessioned2026-07-07T08:28:50Z
dc.date.available2026-07-07T08:28:50Z
dc.descriptionKullback-Leibler relative-entropy, in cases involving distributions resulting from relative-entropy minimization, has a celebrated property reminiscent of squared Euclidean distance: it satisfies an analogue of the Pythagoras' theorem. And hence, this property is referred to as Pythagoras' theorem of relative-entropy minimization or triangle equality and plays a fundamental role in geometrical approaches of statistical estimation theory like information geometry. Equvalent of Pythagoras' theorem in the generalized nonextensive formalism is established in (Dukkipati at el., Physica A, 361 (2006) 124-138). In this paper we give a detailed account of it.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/cs/0611030
dc.identifierhttp://arxiv.org/abs/cs/0611030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137760
dc.subjectInformation Theory
dc.titleNonextensive Pythagoras' Theorem
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