统计及其应用年度回顾向统计学家和统计用户介绍主要方法学进展和允许实施的计算工具。

The Annual Review of Statistics and Its Application is an annual review journal that aims to introduce major methodological advancements in the field of statistics and the computational tools that facilitate their implementation to statisticians and statistical users.

《Annual Review of Statistics and Its Application》是一本年度回顾期刊，旨在向统计学家和统计用户介绍统计学领域的主要方法学进展及其应用的计算工具。

Annual Review of Statistics and Its Application

Robust statistics is a fairly mature field that dates back to the early 1960s, with many foundational concepts having been developed in the ensuing decades. However, the field has drawn a new surge of attention in the past decade, largely due to a desire to recast robust statistical principles in the context of high-dimensional statistics. In this article, we begin by reviewing some of the central ideas in classical robust statistics. We then discuss the need for new theory in high dimensions, using recent work in high-dimensional M -estimation as an illustrative example. Next, we highlight a variety of interesting recent topics that have drawn a flurry of research activity from both statisticians and theoretical computer scientists, demonstrating the need for further research in robust estimation that embraces new estimation and contamination settings, as well as a greater emphasis on computational tractability in high dimensions.

Po-Ling Loh

A Theoretical Review of Modern Robust Statistics

现代稳健统计理论综述

Modern studies from a variety of fields record multiple functional observations according to either multivariate, longitudinal, spatial, or time series designs. We refer to such data as second-generation functional data because their analysis—unlike typical functional data analysis, which assumes independence of the functions—accounts for the complex dependence between the functional observations and requires more advanced methods. In this article, we provide an overview of the techniques for analyzing second-generation functional data with a focus on highlighting the key methodological intricacies that stem from the need for modeling complex dependence, compared with independent functional data. For each of the four types of second-generation functional data presented—multivariate functional data, longitudinal functional data, functional time series and spatially functional data—we discuss how the widely popular functional principal component analysis can be extended to these settings to define, identify main directions of variation, and describe dependence among the functions. In addition to modeling, we also discuss prediction, statistical inference, and application to clustering. We close by discussing future directions in this area.

Salil Koner

Ana-Maria Staicu

Second-Generation Functional Data

第二代功能数据

With the advance of modern technology, more and more data are being recorded continuously during a time interval or intermittently at several discrete time points. These are both examples of functional data, which has become a commonly encountered type of data. Functional data analysis (FDA) encompasses the statistical methodology for such data. Broadly interpreted, FDA deals with the analysis and theory of data that are in the form of functions. This paper provides an overview of FDA, starting with simple statistical notions such as mean and covariance functions, then covering some core techniques, the most popular of which is functional principal component analysis (FPCA). FPCA is an important dimension reduction tool, and in sparse data situations it can be used to impute functional data that are sparsely observed. Other dimension reduction approaches are also discussed. In addition, we review another core technique, functional linear regression, as well as clustering and classification of functional data. Beyond linear and single- or multiple- index methods, we touch upon a few nonlinear approaches that are promising for certain applications. They include additive and other nonlinear functional regression models and models that feature time warping, manifold learning, and empirical differential equations. The paper concludes with a brief discussion of future directions.

Jane-Ling Wang

Jeng-Min Chiou

Hans-Georg Müller

Annu. Rev. Stat. Appl.

Functional Data Analysis

函数型数据分析

One of the most important tasks in sports analytics is the development of binary response models for head-to-head game outcomes to estimate team and player strength. We discuss commonly used probability models for game outcomes, including the Bradley–Terry and Thurstone–Mosteller models, as well as extensions to ties as a third outcome and to the inclusion of a home-field advantage. We consider dynamic extensions to these models to account for the evolution of competitor strengths over time. Full likelihood-based analyses of these time-varying models can be simplified into rating systems, such as the Elo and Glicko rating systems. We present other modern rating systems, including popular methods for online gaming, and novel systems that have been implemented for online chess and Go. The discussion of the analytic methods are accompanied by examples of where these approaches have been implemented for various gaming organizations, as well as a detailed application to National Basketball Association game outcomes.

Mark E. Glickman

Albyn C. Jones

Models and Rating Systems for Head-to-Head Competition

一对一竞赛的模型与评级系统

In this article, we review the literature on statistical theories of neural networks from three perspectives: approximation, training dynamics, and generative models. In the first part, results on excess risks for neural networks are reviewed in the nonparametric framework of regression. These results rely on explicit constructions of neural networks, leading to fast convergence rates of excess risks. Nonetheless, their underlying analysis only applies to the global minimizer in the highly nonconvex landscape of deep neural networks. This motivates us to review the training dynamics of neural networks in the second part. Specifically, we review articles that attempt to answer the question of how a neural network trained via gradient-based methods finds a solution that can generalize well on unseen data. In particular, two well-known paradigms are reviewed: the neural tangent kernel and mean-field paradigms. Last, we review the most recent theoretical advancements in generative models, including generative adversarial networks, diffusion models, and in-context learning in large language models from two of the same perspectives, approximation and training dynamics.

Namjoon Suh

Guang Cheng

A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models

深度学习统计理论综述：逼近、训练动力学与生成模型

In recent years, there has been a growing trend of applying reinforcement learning (RL) in financial applications. This approach has shown great potential for decision-making tasks in finance. In this review, we present a comprehensive study of the applications of RL in finance and conduct a series of meta-analyses to investigate the common themes in the literature, such as the factors that most significantly affect RL's performance compared with traditional methods. Moreover, we identify challenges, including explainability, Markov decision process modeling, and robustness, that hinder the broader utilization of RL in the financial industry and discuss recent advancements in overcoming these challenges. Finally, we propose future research directions, such as benchmarking, contextual RL, multi-agent RL, and model-based RL to address these challenges and to further enhance the implementation of RL in finance.

Yahui Bai

Yuhe Gao

Runzhe Wan

Sheng Zhang

Rui Song

A Review of Reinforcement Learning in Financial Applications

金融应用中强化学习的综述

In medical studies, time-to-event outcomes such as time to death or relapse of a disease are routinely recorded along with longitudinal data that are observed intermittently during the follow-up period. For various reasons, marginal approaches to model the event time, corresponding to separate approaches for survival data/longitudinal data, tend to induce bias and lose efficiency. Instead, a joint modeling approach that brings the two types of data together can reduce or eliminate the bias and yield a more efficient estimation procedure. A well-established avenue for joint modeling is the joint likelihood approach that often produces semiparametric efficient estimators for the finite-dimensional parameter vectors in both models. Through a transformation survival model with an unspecified baseline hazard function, this review introduces joint modeling that accommodates both baseline covariates and time-varying covariates. The focus is on the major challenges faced by joint modeling and how they can be overcome. A review of available software implementations and a brief discussion of future directions of the field are also included.

Qixian Zhong

Joint Modeling of Longitudinal and Survival Data

纵向数据与生存数据的联合建模

Estimating the mortality associated with a specific mortality crisis event (for example, a pandemic, natural disaster, or conflict) is clearly an important public health undertaking. In many situations, deaths may be directly or indirectly attributable to the mortality crisis event, and both contributions may be of interest. The totality of the mortality impact on the population (direct and indirect deaths) includes the knock-on effects of the event, such as a breakdown of the health care system, or increased mortality due to shortages of resources. Unfortunately, estimating the deaths directly attributable to the event is frequently problematic. Hence, the excess mortality, defined as the difference between the observed mortality and that which would have occurred in the absence of the crisis event, is an estimation target. If the region of interest contains a functioning vital registration system, so that the mortality is fully observed and reliable, then the only modeling required is to produce the expected deaths counts, but this is a nontrivial exercise. In low- and middle-income countries it is common for there to be incomplete (or nonexistent) mortality data, and one must then use additional data and/or modeling, including predicting mortality using auxiliary variables. We describe and review each of these aspects, give examples of excess mortality studies, and provide a case study on excess mortality across states of the United States during the COVID-19 pandemic.

短名	Annu. Rev. Stat. Appl.
Journal Impact	7.22
国际分区	STATISTICS & PROBABILITY(Q1)
期刊索引	SCI Q1中科院 1 区

ISSN	2326-8298, 2326-831X
h-index	44
国内分区	数学(1区)数学数学跨学科应用(1区)数学统计学与概率论(1区)
Top 期刊	是

涉及主题	计算机科学数学统计人工智能经济机器学习哲学医学认识论生物物理计量经济学工程类数据科学心理学数据挖掘量子力学程序设计语言推论政治学
出版信息	出版商: Annual Reviews Inc.，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 2014，原创研究文献占比: 91.30%，自引率:4.10%， Gold OA占比: 40.54%

Annual Review of Statistics and Its Application

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A Theoretical Review of Modern Robust Statistics

Second-Generation Functional Data

Functional Data Analysis

Models and Rating Systems for Head-to-Head Competition

A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models

A Survey on Statistical Theory of Deep Learning: Approximation, Training Dynamics, and Generative Models

Models and Rating Systems for Head-to-Head Competition

A Review of Reinforcement Learning in Financial Applications

Joint Modeling of Longitudinal and Survival Data

Excess Mortality Estimation