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Register a new userEquipartitions and a Distribution for Numbers: A Statistical Model for Benfords Law
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Added by
Frederick W. Strauch
Publication date
2015
fields
Physics
and research's language is
English
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A statistical model for the fragmentation of a conserved quantity is analyzed, using the principle of maximum entropy and the theory of partitions. Upper and lower bounds for the restricted partitioning problem are derived and applied to the distribution of fragments. The resulting power law directly leads to Benfords law for the first digits of the parts.
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