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In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint asymptotic distribution of such…

统计理论 · 数学 2013-05-27 Stanislav Volgushev , Xiaofeng Shao

When the sample path of a Hawkes process is observed discretely, such that only the total event counts in disjoint time intervals are known, the likelihood function becomes intractable. To overcome the challenge of likelihood-based…

统计方法学 · 统计学 2025-06-24 Jason J. Lambe , Feng Chen , Tom Stindl , Tsz-Kit Jeffrey Kwan

Correlated proportions arise in longitudinal (panel) studies. A typical example is the ``opinion swing'' problem: ``Has the proportion of people favoring a politician changed after his recent speech to the nation on TV?''. Since the same…

统计理论 · 数学 2007-07-27 Guido Consonni , Luca La Rocca

Motivated by recently emerging problems in machine learning and statistics, we propose data models which relax the familiar i.i.d. assumption. In essence, we seek to understand what it means for data to come from a set of probability…

统计理论 · 数学 2025-01-08 Christian Fröhlich , Robert C. Williamson

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

统计方法学 · 统计学 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

机器学习 · 统计学 2014-02-21 Keisuke Yamazaki

In the first part of the series papers, we set out to answer the following question: given specific restrictions on a set of samplers, what kind of signal can be uniquely represented by the corresponding samples attained, as the foundation…

信息论 · 计算机科学 2021-08-25 Hanshen Xiao , Yaowen Zhang , Guoqiang Xiao

To construct models of large, multivariate complex systems, such as those in biology, one needs to constrain which variables are allowed to interact. This can be viewed as detecting "local" structures among the variables. In the context of…

数据分析、统计与概率 · 物理学 2023-10-19 Mahajabin Rahman , Ilya Nemenman

Results in epidemiology and social science often require the removal of confounding effects from measurements of the pairwise correlation of variables in survey data. This is typically accomplished by some variant of linear regression…

统计方法学 · 统计学 2025-12-02 William H. Press

When data contains measurement errors, it is necessary to make assumptions relating the observed, erroneous data to the unobserved true phenomena of interest. These assumptions should be justifiable on substantive grounds, but are often…

机器学习 · 统计学 2020-12-24 Noam Finkelstein , Roy Adams , Suchi Saria , Ilya Shpitser

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

统计方法学 · 统计学 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

We develop a generalization of correlated trend-cycle decompositions that avoids prior assumptions about the long-run dynamic characteristics by modelling the permanent component as a fractionally integrated process and incorporating a…

计量经济学 · 经济学 2020-05-26 Tobias Hartl , Rolf Tschernig , Enzo Weber

We study a sparse negative binomial regression (NBR) for count data by showing the non-asymptotic advantages of using the elastic-net estimator. Two types of oracle inequalities are derived for the NBR's elastic-net estimates by using the…

机器学习 · 统计学 2022-01-11 Huiming Zhang , Jinzhu Jia

Clustered standard errors and approximate randomization tests are popular inference methods that allow for dependence within observations. However, they require researchers to know the cluster structure ex ante. We propose a procedure to…

计量经济学 · 经济学 2022-01-14 Yong Cai

This paper studies inference in two-stage randomized experiments under covariate-adaptive randomization. In the initial stage of this experimental design, clusters (e.g., households, schools, or graph partitions) are stratified and randomly…

计量经济学 · 经济学 2026-01-16 Jizhou Liu

We develop a monitoring procedure to detect changes in a large approximate factor model. Letting $r$ be the number of common factors, we base our statistics on the fact that the $\left( r+1\right) $-th eigenvalue of the sample covariance…

统计方法学 · 统计学 2022-02-03 Matteo Barigozzi , Lorenzo Trapani

Existing methods for the estimation of stable distribution parameters, such as those based on sample quantiles, sample characteristic functions or maximum likelihood generally assume an independent sample. Little attention has been paid to…

统计理论 · 数学 2014-05-05 Adrian W. Barker

An analytic formula is proposed to characterize the variance propagation from correlated input variables to the model response, by using multi-variate Taylor series. With the formula, partial variance contributions to the model response are…

物理与社会 · 物理学 2017-08-23 Yueying Zhu , Qiuping A Wang , Wei Li , Xu Cai

We propose a unified framework for likelihood-based regression modeling when the response variable has finite support. Our work is motivated by the fact that, in practice, observed data are discrete and bounded. The proposed methods assume…

统计方法学 · 统计学 2022-09-13 Karl Oskar Ekvall , Matteo Bottai

In a recent review, Liu, Pek, & Maydeu-Olivares (2025b) classified reliability coefficients into two types: classical test theory (CTT) reliability and proportional reduction in mean squared error (PRMSE). This article focuses on…

统计方法学 · 统计学 2026-04-14 Youjin Sung , Yang Liu