Mathematical Sciences: The Probabilistic Behavior of Sums and Quadratic Forms

WPCJ 2 B P Z Courier 10cpi 3|x K x 6 X@8；X@HP LaserJet IIID-Back HPIIizprs x@，\，j 5{X@2 V J Z Courier 10cpi？X，{^x 6X@8；X@HP LaserJet IIID-Back HPIIIDB.PrS x@，\，J 5{X@2 6 8 F`H 3|x 3‘3’标准3‘3’标准RJET IIID 9310263克拉斯研究人员建议研究独立随机变量和二次型的和。预期的主题包括强极限问题，具有固定或随机项数的和的期望的近似，独立变量和的尾概率的近似，以及二次型和多线性形式的解耦问题。这是对基本概率论的研究。特别是，调查者将研究独立随机变量的和以及与这些和相关的概率。***

WPCJ 2 B P Z Courier 10cpi 3| x K x 6 X @ 8 ; X @ HP LaserJet IIID - BACK HPIIIDB.PRS x @ , \ , j 5{X @ 2 V J Z Courier 10cpi ? x x x , {^ x 6 X @ 8 ; X @ HP LaserJet IIID - BACK HPIIIDB.PRS x @ , \ , j 5{X @ 2 6 8 F ` H 3| x 3 ' 3 ' Standard 3 ' 3 ' Standard rJet IIID 9310263 Klass The investigator proposes to study sums of independent random variables and quadratic forms. The topics envisioned include strong limit problems, approximation of expectations for sums having a fixed or random number of terms, approximation of tail probabilities of sums of independent variates, and decoupling issues for quadratic and multilinear forms. This is research in basic probability theory. In particular, the investigator will study sums of independent random variables and probabilities associated with those sums. ***