Blon.val: Blondeau Da Silva's values

In BeyondBenford: Compare the Goodness of Fit of Benford's and Blondeau Da Silva's Digit Distributions to a Given Dataset

Description

The function returns Blondeau Da Silva's probability that a figure is at a given position (once the associated lower and upper bounds have been specified) and, if requested, the associated standard deviation.

Usage

Blon.val(lwbound = 10^(dig - 1), upbound, fig, dig = 1, sd = 0)

Arguments

lwbound	A positive integer, which characterizes the data. All (or most) of the data are greater than this "lower bound".
upbound	A positive integer, which characterizes the data. All (or most) of the data are lower than this "upper bound".
fig	The considered figure.
dig	The chosen position of the digit (from the left).
sd	If sd=0, only the probability is returned. Else, the function returns a dataframe containing the probability and the standard deviation of the expected digit frequency.

Value

The function returns Blondeau Da Silva's probability and, if requested, its standard deviation.

Author(s)

Blondeau Da Silva St\'ephane

References

S. Blondeau Da Silva (2020). Benford or not Benford: a systematic but not always well-founded use of an elegant law in experimental fields. Communications in Mathematics and Statistics, 8:167-201. doi: 10.1007/s40304-018-00172-1.

S. Blondeau Da Silva (2018). Benford or not Benford: new results on digits beyond the first. https://arxiv.org/abs/1805.01291.

Examples

Blon.val(171,825, 5, dig = 3)

BeyondBenford documentation built on July 25, 2020, 1:06 a.m.