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→统计学解释
最小努力原则是另一种来解释齐普夫定律的途径: 齐普夫本人提出，使用特定语言的说话者和接收者都不想仅仅为了理解而付出超额努力，从而导致努力的程度大致平等分配的过程产生了我们所观察到的齐普夫分布。<ref name="sasq">Sole, Ramon Ferrer i Cancho (2003) [https://pattern.swarma.org/paper?id=7d736f4c-6f3e-11ea-a55c-0242ac1a0005 "Least effort and the origins of scaling in human language"].Proceedings of the National Academy of Sciences of the United States of America, PMC 298679. PMID 12540826. Archived from the original on 2011-12-01..100, 10.(788--791)</ref> <ref name="sassasasaa">Lin, Bian, Chunhua (2014) [https://pattern.swarma.org/paper?id=9ef918ba-6f3e-11ea-9c6f-0242ac1a0005 "Scaling laws in human speech, decreasing emergence of new words and a generalized model"].arXiv:1412.4846 [cs.CL].
最小努力原则是另一种来解释齐普夫定律的途径: 齐普夫本人提出，使用特定语言的说话者和接收者都不想仅仅为了理解而付出超额努力，从而导致努力的程度大致平等分配的过程产生了我们所观察到的齐普夫分布。<ref name="sasq">Sole, Ramon Ferrer i Cancho (2003) [https://pattern.swarma.org/paper?id=7d736f4c-6f3e-11ea-a55c-0242ac1a0005 "Least effort and the origins of scaling in human language"].Proceedings of the National Academy of Sciences of the United States of America, PMC 298679. PMID 12540826. Archived from the original on 2011-12-01..100, 10.(788--791)</ref> <ref name="sassasasaa">Lin, Bian, Chunhua (2014) [https://pattern.swarma.org/paper?id=9ef918ba-6f3e-11ea-9c6f-0242ac1a0005 "Scaling laws in human speech, decreasing emergence of new words and a generalized model"].arXiv:1412.4846 [cs.CL].</ref>
类似地，偏好依附(直观的看到“富人越来越富”或“成功孕育成功”)产生了[[ Yule-Simon 分布]]，这已被证明比齐普夫定律更适合语言中的词频与排名`人口与城市排名研究。</ref><ref name="qwqsa">Vitanov, Nikolay, K., Ausloos, Chunhua (2015) [https://pattern.swarma.org/paper?id=d87132d0-6f3e-11ea-93cb-0242ac1a0005 "Test of two hypotheses explaining the size of populations in a system of cities"].Journal of Applied Statistics.42, 1506, 10, 1047744.(2686--2693)</ref>
类似地，偏好依附(直观的看到“富人越来越富”或“成功孕育成功”)产生了[[ Yule-Simon 分布]]，这已被证明比齐普夫定律更适合语言中的词频与排名`人口与城市排名研究。<ref name="qwqsa">Vitanov, Nikolay, K., Ausloos, Chunhua (2015) [https://pattern.swarma.org/paper?id=d87132d0-6f3e-11ea-93cb-0242ac1a0005 "Test of two hypotheses explaining the size of populations in a system of cities"].Journal of Applied Statistics.42, 1506, 10, 1047744.(2686--2693)</ref>
它最初是由 Yule 用来阐明种群与等级的关系，并由 Simon 用来阐释城市的关系。
它最初是由 Yule 用来阐明种群与等级的关系，并由 Simon 用来阐释城市的关系。