A HÖLDER–YOUNG–LIEB INEQUALITY FOR NORMS OF GAUSSIAN WICK PRODUCTS

A Gaussian inequality for expected absolute products

We give a proof to the inequality that E |X1X2 · · ·Xn| ≤ √ per(Σ), for any centered Gaussian random variables X1, · · · ,Xn with the covariance matrix Σ , followed by several applications and examples. We also discuss a conjecture on the lower bound of the expectation.

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

Wick Calculus For Nonlinear Gaussian Functionals

This paper surveys some results on Wick product and Wick renormalization. The framework is the abstract Wiener space. Some known results on Wick product and Wick renormalization in the white noise analysis framework are presented for classical random variables. Some conditions are described for random variables whose Wick product or whose renormalization are integrable random variables. Relevan...

Multidimensional Wick-itô Formula for Gaussian Processes

Norms of Inequality

This paper investigates the linkage between social norms and wage dispersion between many industrialised countries. It examines social perceptions to legitimate differences between high and low paid occupations, and uses regression analysis to attribute causes for such differing social structures. The paper concludes that there exists a relationship between levels of inequality and the social s...