The map-Airy distribution is a statistical distribution having probability density
function and distribution function
where
is the Airy function and is its derivative. The
density is normalized with
|
(3)
|
The mean is 0 and
but the second moment is undefined.
See also
Airy Functions
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References
Banderier, C.; Flajolet, P.; Schaeffer, G.; and Soria, M. "Planar Maps and Airy Phenomena." In Automata,
Languages and Programming. Proceedings of the 27th International Colloquium (ICALP
2000) held at the University of Geneva, Geneva, July 9-15, 2000 (Ed. U. Montanari,
J. D. P. Rolim, and E. Welzl). Berlin: Springer-Verlag, pp. 388-402,
2000.Banderier, C.; Flajolet, P.; Schaeffer, G.; and Soria, M. "Random
Maps, Coalescing Saddles, Singularity Analysis, and Airy Phenomena." Random
Structures Alg. 19, 194-246, 2001. http://www-lipn.univ-paris13.fr/~banderier/Papers/rsa.ps.Referenced
on Wolfram|Alpha
Map-Airy Distribution
Cite this as:
Weisstein, Eric W. "Map-Airy Distribution."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Map-AiryDistribution.html
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