Fig 1.
Pdf of the Lavalette distribution.
Some Lavalette probability density functions (Eq (4)) with identical parameter C = 1 but with a = 1/5, 1/3, 1, 2, 3, and 4 (m = 1/a = 1/b).
Fig 2.
DGBD fits for various distributions.
The estimated a and b parameter values in DGBD (Eq (1)) for data generated by well known distributions. Size of the dots indicate the coefficient of determination R squared. The dots around the a = b diagonal line are for data generated by the lognormal distribution.
Fig 3.
Cumulative distribution function for lognormal and Lavalette distributions, being μ = 0 and σ = 0.1, 0.5 and 1 the parameters of the lognormal. The x axis is in logarithmic scale. We see that over an important interval of the domain, it may be difficult to distinguish a lognormal from a Lavalette distribution.
Fig 4.
Ranked datasets fitted by Lavalette rank function.
(A) Nigeria (NRG) local government area (the secondary administrative unit (SAU)) population; (B) Madrid and Cádiz municipality (the tertiary administrative unit (TAU)) population; (C) Amino acid to amino acid mutation counts in the 1000 Genomes Project; (D) Averaged codon usage (excluding the three stop codons) of plant organelles and mammals.