## Logit Transformation

The function

This function has an inflection point at , where

Applying the logit transformation to values obtained by iterating the Logistic Equation generates a sequence of Random Numbers having distribution

which is very close to a Gaussian Distribution.

References

Collins, J.; Mancilulli, M.; Hohlfeld, R.; Finch, D.; Sandri, G.; and Shtatland, E. A Random Number Generator Based on the Logit Transform of the Logistic Variable.'' Computers in Physics 6, 630-632, 1992.

Pickover, C. A. Keys to Infinity. New York: Wiley, pp. 244-245, 1995.

© 1996-9 Eric W. Weisstein
1999-05-25