论文信息 - Remarks on deviation inequalities for functions of infinitely divisible random vectors - 字舞流文

Remarks on deviation inequalities for functions of infinitely divisible random vectors

We obtain deviation inequalities for some classes of functions of infinitely divisible random vectors having finite exponential moments.

[1] F. Olver. Asymptotics and Special Functions , 1974 .

[2] G. Pisier. Probabilistic methods in the geometry of Banach spaces , 1986 .

[3] M. Talagrand. Isoperimetry and Integrability of the Sum of Independent Banach-Space Valued Random Variables , 1989 .

[4] J. Rosínski. Remarks on Strong Exponential Integrability of Vector-Valued Random Series and Triangular Arrays , 1995 .

[5] M. Ledoux,et al. Isoperimetry and Gaussian analysis , 1996 .

[6] C. Houdré,et al. Interpolation, correlation identities, and inequalities for infinitely divisible variables , 1998 .

[7] S. Bobkov,et al. On Modified Logarithmic Sobolev Inequalities for Bernoulli and Poisson Measures , 1998 .

[8] Comparison and Deviation from a Representation Formula , 1998 .

[9] M. Émery,et al. Seminaire de Probabilites XXXIII , 1999 .

[10] Ken-iti Sato. Lévy Processes and Infinitely Divisible Distributions , 1999 .

[11] M. Ledoux. Concentration of measure and logarithmic Sobolev inequalities , 1999 .

[12] Sergey G. Bobkov,et al. On Gaussian and Bernoulli covariance representations , 2001 .

[13] Dudley,et al. Real Analysis and Probability: Measurability: Borel Isomorphism and Analytic Sets , 2002 .

[14] Christian Houdre,et al. On the concentration of measure phenomenon for stable and related random vectors , 2004 .