Asymptotic Expansions and Large Deviations in Probability and Statistics: Theory and Applications

统计学是许多学科中的主要赋能科学。这是概率论和统计学的基础研究，但在生物学和社会科学领域有着广泛的应用，最终将为国家带来利益。自归一化和的行为是基础研究的一个令人兴奋的新领域，它对统计学在许多领域的应用都有影响。依赖情况的u统计量对理解金融时间序列和抽样调查数据的分析有直接的应用。鞍点法在许多重要应用中提供了极其精确的近似值。

Statistics is the major enabling science in a number of disciplines. This is fundamental research in probability and statistics but it has wide applications in Biology and Social Sciences which will ultimately be of national benefit. The behaviour of self normalized sums is an exciting new area of fundamental research that has implications for the application of statistics in many areas. U-statistics for dependent situations has direct application to understanding financial time series and the analysis of sample survey data. Saddlepoint methods provide extremely accurate approximations in a number of important applications.