Logit Transformation
المؤلف:
Collins, J.; Mancilulli, M.; Hohlfeld, R.; Finch, D.; Sandri, G.; and Shtatland, E.
المصدر:
"A Random Number Generator Based on the Logit Transform of the Logistic Variable." Computers in Physics 6
الجزء والصفحة:
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24-6-2019
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Logit Transformation

The function
 |
(1)
|
This function has an inflection point at
, where
 |
(2)
|
Applying the logit transformation to values obtained by iterating the logistic equation generates a sequence of random numbers having distribution
 |
(3)
|
which is very close to a normal 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.
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