About “On certain incomplete statistics” by Lima et al
Lima et al. recently claim that (Chaos, Solitons & Fractals 19 (2004) 1005) the entropy for the incomplete statistics based on the normalization ∑ i p i q =1 should be S=−∑ i p i 2 q−1 ln q p i instead of S=−∑ i p i q ln q p i initially proposed by Wang. We indicate here that this conclusion is...
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| Veröffentlicht in: | Chaos, solitons and fractals solitons and fractals, 2004, Vol.21 (5), p.1143-1144 |
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| container_title | Chaos, solitons and fractals |
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| creator | Pezeril, M. Le Méhauté, A. Wang, Q.A. |
| description | Lima et al. recently claim that (Chaos, Solitons & Fractals 19 (2004) 1005) the entropy for the incomplete statistics based on the normalization ∑
i
p
i
q
=1 should be
S=−∑
i
p
i
2
q−1
ln
q
p
i
instead of
S=−∑
i
p
i
q
ln
q
p
i
initially proposed by Wang. We indicate here that this conclusion is a result of erroneous use of temperature definition for the incomplete statistics. |
| doi_str_mv | 10.1016/j.chaos.2003.12.038 |
| format | Article |
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i
p
i
q
=1 should be
S=−∑
i
p
i
2
q−1
ln
q
p
i
instead of
S=−∑
i
p
i
q
ln
q
p
i
initially proposed by Wang. We indicate here that this conclusion is a result of erroneous use of temperature definition for the incomplete statistics.</description><identifier>ISSN: 0960-0779</identifier><identifier>EISSN: 1873-2887</identifier><identifier>DOI: 10.1016/j.chaos.2003.12.038</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Condensed Matter ; Other ; Physics ; Statistical Mechanics</subject><ispartof>Chaos, solitons and fractals, 2004, Vol.21 (5), p.1143-1144</ispartof><rights>2004 Elsevier Science Ltd</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c380t-ef965b4f2aa93a2fcf42085f57b97dd59cba0247948155aaf68d9b7aad3422b43</citedby><cites>FETCH-LOGICAL-c380t-ef965b4f2aa93a2fcf42085f57b97dd59cba0247948155aaf68d9b7aad3422b43</cites><orcidid>0000-0002-9589-9105</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.chaos.2003.12.038$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,777,781,882,3537,4010,27904,27905,27906,45976</link.rule.ids><backlink>$$Uhttps://hal.science/hal-00000825$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Pezeril, M.</creatorcontrib><creatorcontrib>Le Méhauté, A.</creatorcontrib><creatorcontrib>Wang, Q.A.</creatorcontrib><title>About “On certain incomplete statistics” by Lima et al</title><title>Chaos, solitons and fractals</title><description>Lima et al. recently claim that (Chaos, Solitons & Fractals 19 (2004) 1005) the entropy for the incomplete statistics based on the normalization ∑
i
p
i
q
=1 should be
S=−∑
i
p
i
2
q−1
ln
q
p
i
instead of
S=−∑
i
p
i
q
ln
q
p
i
initially proposed by Wang. We indicate here that this conclusion is a result of erroneous use of temperature definition for the incomplete statistics.</description><subject>Condensed Matter</subject><subject>Other</subject><subject>Physics</subject><subject>Statistical Mechanics</subject><issn>0960-0779</issn><issn>1873-2887</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><recordid>eNp9kLFOwzAQhi0EEqXwBCxeGRLOdhLbSAxVBRQpUheYLcexVVdpUsWmUrc-CLxcn4SEIkZuOen0f3e6D6FbAikBUtyvU7PSXUgpAEsJTYGJMzQhgrOECsHP0QRkAQlwLi_RVQhrACBQ0Al6mFXdR8THw-eyxcb2UfsW-9Z0m21jo8Uh6uhD9CYcD1-42uPSbzS2EevmGl043QR789un6P356W2-SMrly-t8ViaGCYiJdbLIq8xRrSXT1BmXURC5y3kleV3n0lQaaMZlJkiea-0KUcuKa12zjNIqY1N0d9q70o3a9sP9fq867dViVqpxBmMJmu_GLDtlTd-F0Fv3BxBQoyq1Vj-q1KhKEaoGVQP1eKLs8MbO214F421rbO17a6KqO_8v_w0q-3Ol</recordid><startdate>2004</startdate><enddate>2004</enddate><creator>Pezeril, M.</creator><creator>Le Méhauté, A.</creator><creator>Wang, Q.A.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><scope>VOOES</scope><orcidid>https://orcid.org/0000-0002-9589-9105</orcidid></search><sort><creationdate>2004</creationdate><title>About “On certain incomplete statistics” by Lima et al</title><author>Pezeril, M. ; Le Méhauté, A. ; Wang, Q.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c380t-ef965b4f2aa93a2fcf42085f57b97dd59cba0247948155aaf68d9b7aad3422b43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Condensed Matter</topic><topic>Other</topic><topic>Physics</topic><topic>Statistical Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pezeril, M.</creatorcontrib><creatorcontrib>Le Méhauté, A.</creatorcontrib><creatorcontrib>Wang, Q.A.</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><collection>Hyper Article en Ligne (HAL) (Open Access)</collection><jtitle>Chaos, solitons and fractals</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pezeril, M.</au><au>Le Méhauté, A.</au><au>Wang, Q.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>About “On certain incomplete statistics” by Lima et al</atitle><jtitle>Chaos, solitons and fractals</jtitle><date>2004</date><risdate>2004</risdate><volume>21</volume><issue>5</issue><spage>1143</spage><epage>1144</epage><pages>1143-1144</pages><issn>0960-0779</issn><eissn>1873-2887</eissn><abstract>Lima et al. recently claim that (Chaos, Solitons & Fractals 19 (2004) 1005) the entropy for the incomplete statistics based on the normalization ∑
i
p
i
q
=1 should be
S=−∑
i
p
i
2
q−1
ln
q
p
i
instead of
S=−∑
i
p
i
q
ln
q
p
i
initially proposed by Wang. We indicate here that this conclusion is a result of erroneous use of temperature definition for the incomplete statistics.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.chaos.2003.12.038</doi><tpages>2</tpages><orcidid>https://orcid.org/0000-0002-9589-9105</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0960-0779 |
| ispartof | Chaos, solitons and fractals, 2004, Vol.21 (5), p.1143-1144 |
| issn | 0960-0779 1873-2887 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_00000825v4 |
| source | Elsevier ScienceDirect Journals |
| subjects | Condensed Matter Other Physics Statistical Mechanics |
| title | About “On certain incomplete statistics” by Lima et al |
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