Mathematical Sciences: Presidential Young Investigator

张的研究涵盖了广泛的问题， 概率论，他将研究归一化随机游走， 局部极限定理，大偏差，更新理论。 在 序贯分析，非线性更新理论中的问题， 幂1检验和置信序列，多决策和 选择，临床试验，多臂强盗，和最佳 停止将被说服。 统计推断中的问题 包括涉及经验贝叶斯估计、混合 模型，有偏抽样方案下的测试和估计， 信息和渐近有效性，以及大样本理论。 张学良的研究涉及的问题非常广泛， 概率和统计学领域。

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.