About: On Convergence of Fisher Informations in Continuous Models with Quantized Observation

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Continuous location models with real observations and well defined Fisher information are considered and reduction of the Fisher information due to quantizations of the observation space into m intervals is studied. In fact, generalized Fisher informations of orders alpha >= 1 are considered where alpha =2 corresponds to the classical Fisher information. By an example it is argued that in some models the information of order alpha =2 is infinite while the informations of some orders alpha <> 2 are finite. Among the studied problems is the existence of optimal quantizations which maximize the reduced information for fixed m and alpha >= 1 and the construction of simple and practically applicable quantizations for which the reduction converges to zero when m is going to infinity, uniformly for all alpha >= 1. The rate of this convergence is estimated for all alpha >= 1 and directly evaluated for alpha= 1 and alpha=2. Continuous location models with real observations and well defined Fisher information are considered and reduction of the Fisher information due to quantizations of the observation space into m intervals is studied. In fact, generalized Fisher informations of orders alpha >= 1 are considered where alpha =2 corresponds to the classical Fisher information. By an example it is argued that in some models the information of order alpha =2 is infinite while the informations of some orders alpha <> 2 are finite. Among the studied problems is the existence of optimal quantizations which maximize the reduced information for fixed m and alpha >= 1 and the construction of simple and practically applicable quantizations for which the reduction converges to zero when m is going to infinity, uniformly for all alpha >= 1. The rate of this convergence is estimated for all alpha >= 1 and directly evaluated for alpha= 1 and alpha=2. (en)
Title	On Convergence of Fisher Informations in Continuous Models with Quantized Observation On Convergence of Fisher Informations in Continuous Models with Quantized Observation (en)
skos:prefLabel	On Convergence of Fisher Informations in Continuous Models with Quantized Observation On Convergence of Fisher Informations in Continuous Models with Quantized Observation (en)
skos:notation	RIV/68407700:21340/05:00117073!RIV13-MSM-21340___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM 210000018)
http://linked.open...iv/cisloPeriodika	14
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Hobza, Tomáš
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	534323
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/05:00117073
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Location models; Fisher information; Generalized Fisher information; Finite quantizations; Rate of convergence (en)
http://linked.open.../riv/klicoveSlovo	Fisher information Rate of convergence Finite quantizations Generalized Fisher information Location models
http://linked.open...odStatuVydavatele	ES - Španělské království
http://linked.open...ontrolniKodProRIV	[079B7516F375]
http://linked.open...i/riv/nazevZdroje	Test
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2005
http://linked.open...v/svazekPeriodika	2005
http://linked.open...iv/tvurceVysledku	Hobza, Tomáš Molina, I. Vajda, I.
http://linked.open...ain/vavai/riv/wos	000230291400006
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20210000018
issn	1133-0686
number of pages	29 (xsd:int)
http://localhost/t...ganizacniJednotka	21340

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