About: Extensions Of The Parametric Families Of Divergences Used In Statistical Inference

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Description	We propose a simple method of construction of new families of phi-divergences. This method called convex standardization is applicable to convex and concave functions phi(t) twice continuously differentiable in a neighborhood of t=1 with nonzero second derivative at the point t=1. Using this method we introduce several extensions of the LeCam, power, chi^a and Matusita divergences. The extended families are shown to connect smoothly these divergences with the Kullback divergence or they connect various pairs of these particular divergences themselves. We investigate also the metric properties of divergences from these extended families. We propose a simple method of construction of new families of phi-divergences. This method called convex standardization is applicable to convex and concave functions phi(t) twice continuously differentiable in a neighborhood of t=1 with nonzero second derivative at the point t=1. Using this method we introduce several extensions of the LeCam, power, chi^a and Matusita divergences. The extended families are shown to connect smoothly these divergences with the Kullback divergence or they connect various pairs of these particular divergences themselves. We investigate also the metric properties of divergences from these extended families. (en)
Title	Extensions Of The Parametric Families Of Divergences Used In Statistical Inference Extensions Of The Parametric Families Of Divergences Used In Statistical Inference (en)
skos:prefLabel	Extensions Of The Parametric Families Of Divergences Used In Statistical Inference Extensions Of The Parametric Families Of Divergences Used In Statistical Inference (en)
skos:notation	RIV/68407700:21340/08:00164448!RIV10-MSM-21340___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0572), P(FI-IM3/136), P(GA102/07/1131), Z(AV0Z10750506), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Kůs, Václav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	367461
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/08:00164448
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	divergences; metric divergences; families of f-divergences (en)
http://linked.open.../riv/klicoveSlovo	divergences families of f-divergences metric divergences
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[0584CA009071]
http://linked.open...i/riv/nazevZdroje	Kybernetika
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Data, algorithms, decision making *Research of new methods of Acoustic Emission (AE) signal measuring and evaluation, and development of a multichannel data acquisition device with fully continuous sampling of the AE signal and its real-time data processing. Theoretical information in stochastic data and its empirical approximation and application in processes of detection and identification
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	44
http://linked.open...iv/tvurceVysledku	Kůs, Václav
http://linked.open...ain/vavai/riv/wos	000255247900009
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech Matematické, počítačové a experimentální metody ve fyzice
issn	0023-5954
number of pages	18 (xsd:int)
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Extensions Of The Parametric Families Of Divergences Used In Statistical Inference Extensions Of The Parametric Families Of Divergences Used In Statistical Inference Extensions Of The Parametric Families Of Divergences Used In Statistical Inference Extensions Of The Parametric Families Of Divergences Used In Statistical Inference

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