Parameter estimation for power-law distributions by maximum likelihood methods

Details Parameter estimation for power-law distributions by maximum likelihood methods Parameter estimation for power-law distributions by maximum likelihood methods

2007-04-14

arxiv.org/abs/0704.1867v2

The European Physical Journal B, vol. 58, no. 2, pp. 167-173 (2007)

Physics

Condensed Matter

Other Condensed Matter

Supplementary software: http://www.physics.ox.ac.uk/users/bauke/Publications/index.html#powerlaws

Scientific paper

10.1140/epjb/e2007-00219-y

Distributions following a power-law are an ubiquitous phenomenon. Methods for
determining the exponent of a power-law tail by graphical means are often used
in practice but are intrinsically unreliable. Maximum likelihood estimators for
the exponent are a mathematically sound alternative to graphical methods.

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