[JoGu]

Cryptology

The Phi Distribution for Random Texts

a7Hzq .#5r<
kÜ\as TâÆK$
ûj(Ö2 ñw%h:
Úk{4R f~`z8
¤˜Æ+Ô „&¢Dø

And now the same procedure for random text.

The results are in the figure and table below, see also the spreadsheet.

To get φ-values divide x-values in the graphic by 4950.
[Frequency of phi values]

Distribution of φ for 2000 random texts of 100 letters

Minimum: 0.0331
Median: 0.0398Mean value: 0.0401
Maximum: 0.0525Standard dev:0.0028
1st quartile:0.03825% quantile: 0.0360
3rd quartile:0.041895% quantile:0.0451

Author: Klaus Pommerening, 2013-Dec-20; last change: 2014-Jan-23.