Mathematical Sciences: The Probabilistic Behavior of Sums and Quadratic Forms

WPCJ 2 B P Z cpi 10cpi 3| X K x 6 X @ 8 ; X @ HP LaserJet III-返回 HPIIIDB.PRS X @ , \，j 5{X @ 2 V J Z 10cpi ? x x x， {^ x 6 X @ 8 ; X @ HP LaserJet III-返回 HPIIIDB.PRS X @ , \，j 5{X @ 2 6 8 F ` H 3| X 3英尺 3 '标准 3英尺 3 '标准 rJet IIID 小行星9310263 研究者建议研究独立随机变量和二次型的和。 设想的主题包括强极限问题，具有固定或随机数目的条款，尾概率的近似值的总和，独立变量的总和的期望值的近似值，以及二次和多线性形式的解耦问题。 这是基础概率论的研究。 特别是，研究者将研究独立随机变量的总和以及与这些总和相关的概率。***

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. ***