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  • Generalized Fisher informations of orders o > 1 are considered in the location models on the real line. The order o = 2 corresponds to the classical Fisher information. A simple example is given where the information of order o = 2 is infinite while the informations of the oprders 1 < o < 2 are finite. Reductions of the generalized informations due to quantizations of the observation space into m intervals are studied. Optimal finite quantizations and the rates of convergence for m -> infinity are found.
  • Generalized Fisher informations of orders o > 1 are considered in the location models on the real line. The order o = 2 corresponds to the classical Fisher information. A simple example is given where the information of order o = 2 is infinite while the informations of the oprders 1 < o < 2 are finite. Reductions of the generalized informations due to quantizations of the observation space into m intervals are studied. Optimal finite quantizations and the rates of convergence for m -> infinity are found. (en)
  • Studují se zobecněné Fisherovy informace řádů r>1 ve spojitých statistických modelech přičemž řád r=2 odpovídá klasické Fisherově informaci. Je uveden příklad, kde informace řádu 2 je identicky nekonečno zatím co všechny informace řádů menších než 2 jsou konečné. Pozornost se věnuje redukcím zobecněných informací v důsledku kvantování pozorovacího prostoru na m úrovní. Popsáno je optimální kvantování a jeho chování při m rostoucím do nekonečna. (cs)
Title
  • On convergence of Fisher informations in continuous models with quantized observations
  • O konvergenci Fisherovských informací ve spojitých modelech s kvantováním (cs)
  • On convergence of Fisher informations in continuous models with quantized observations (en)
skos:prefLabel
  • On convergence of Fisher informations in continuous models with quantized observations
  • O konvergenci Fisherovských informací ve spojitých modelech s kvantováním (cs)
  • On convergence of Fisher informations in continuous models with quantized observations (en)
skos:notation
  • RIV/67985556:_____/05:00411353!RIV06-AV0-67985556
http://linked.open.../vavai/riv/strany
  • 151;179
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  • P(1M0572), P(IAA1075101), Z(AV0Z10750506)
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  • 1
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  • 534324
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  • RIV/67985556:_____/05:00411353
http://linked.open...riv/jazykVysledku
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  • locaton models; Fisher information; generalized Fisher information (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • ES - Španělské království
http://linked.open...ontrolniKodProRIV
  • [1FEDB0C7F514]
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  • 14
http://linked.open...iv/tvurceVysledku
  • Hobza, Tomáš
  • Molina, I.
  • Vajda, Igor
http://linked.open...n/vavai/riv/zamer
issn
  • 1133-0686
number of pages
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