Mathematical Sciences: Presidential Young Investigator

张的研究涵盖了概率论中的广泛问题，他将致力于归一化随机游走、局部极限定理、大偏差和更新理论。在序贯分析中，将讨论非线性更新理论、幂1检验与置信度序列、多决策与选择、临床试验、多臂盗贼、最优停止等问题。统计推断中的问题包括经验贝叶斯估计、混合模型、有偏抽样方案下的检验和估计、信息和渐近有效性以及大样本理论。张的研究涉及概率和统计领域的各种问题。

Zhang's research covers a broad range of problems in probability theory, he will work on normalized random walks, local limit theorems, large deviations, and renewal theory. In sequential analysis, problems in nonlinear renewal theory, power-one tests and confidence sequences, multi-decision and selection, clinical trials, multi-armed bandit, and optimal stopping will be persued. Problems in statistical inference include those involving empirical Bayes estimation, mixture models, testing and estimation under biased sampling schemes, information and asymptotic efficiency, and large sample theory. Zhang's research involves a wide variety of problems in the fields of probability and statistics.