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  <doc>
    <id>114</id>
    <completedYear>2009</completedYear>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>preprint</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2009-10-19</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Optimal quantization for the one-dimensional uniform distribution with Rényi -α-entropy constraints</title>
    <abstract language="eng">We establish the optimal quantization problem for probabilities under constrained Rényi-α-entropy of the quantizers. We determine the optimal quantizers and the optimal quantization error of one-dimensional uniform distributions including the known special cases α = 0 (restricted codebook size) and α = 1 (restricted Shannon entropy).</abstract>
    <identifier type="urn">urn:nbn:de:bvb:739-opus-16983</identifier>
    <identifier type="opus3-id">1698</identifier>
    <enrichment key="SourceTitle">This is a preprint of an article accepted for publication in Kybernetika ISSN 0023-5954 The original publication is available at http://www.kybernetika.cz/content.html</enrichment>
    <licence>Standardbedingung laut Einverständniserklärung</licence>
    <author>Wolfgang Kreitmeier</author>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Maßtheorie</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Quantisierung &lt;Nachrichtentechnik&gt;</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>swd</type>
      <value>Entropie &lt;Informationstheorie&gt;</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal quantization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>uniform distribution</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Rényi-&amp;#945;-entropy</value>
    </subject>
    <collection role="ddc" number="510">Mathematik</collection>
    <collection role="msc" number="60Exx">Distribution theory [See also 62Exx, 62Hxx]</collection>
    <collection role="msc" number="62H30">Classification and discrimination; cluster analysis [See also 68T10]</collection>
    <collection role="msc" number="94A17">Measures of information, entropy</collection>
    <collection role="msc" number="94A29">Source coding [See also 68P30]</collection>
    <collection role="open_access" number="">open_access</collection>
    <collection role="institutes" number="">Mitarbeiter Lehrstuhl/Einrichtung der Fakultät für Informatik und Mathematik</collection>
    <thesisPublisher>Universität Passau</thesisPublisher>
    <file>https://opus4.kobv.de/opus4-uni-passau/files/114/kreitmeier_optimal_quantization.pdf</file>
  </doc>
</export-example>
