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Uniform Estimate for Maximum of Randomly Weighted Sums with Applications to Ruin Theory

โœ Scribed by Xin-mei Shen; Zheng-yan Lin; Yi Zhang


Publisher
Springer US
Year
2008
Tongue
English
Weight
393 KB
Volume
11
Category
Article
ISSN
1387-5841

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Uniform asymptotics for polynomials orth
โœ P. Deift; T. Kriecherbauer; K. T-R McLaughlin; S. Venakides; X. Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 475 KB ๐Ÿ‘ 1 views

We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n โ†’ โˆž. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the