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Approximate Bayesian computation (ABC) has become an essential tool for the analysis of complex stochastic models when the likelihood function is numerically unavailable. However, the well-established statistical method of empirical…

Computation · Statistics 2015-06-05 K. L. Mengersen , P. Pudlo , C. P. Robert

In panel experiments, we randomly assign units to different interventions, measuring their outcomes, and repeating the procedure in several periods. Using the potential outcomes framework, we define finite population dynamic causal effects…

Methodology · Statistics 2021-05-28 Iavor Bojinov , Ashesh Rambachan , Neil Shephard

Multivariate Bernoulli autoregressive (BAR) processes model time series of events in which the likelihood of current events is determined by the times and locations of past events. These processes can be used to model nonlinear dynamical…

Machine Learning · Statistics 2018-11-08 Benjamin Mark , Garvesh Raskutti , Rebecca Willett

Behavioural economics provides labels for patterns in human economic behaviour. Probability weighting is one such label. It expresses a mismatch between probabilities used in a formal model of a decision (i.e. model parameters) and…

Theoretical Economics · Economics 2020-05-04 Ole Peters , Alexander Adamou , Mark Kirstein , Yonatan Berman

We present a novel incremental learning approach for unsupervised word segmentation that combines features from probabilistic modeling and model selection. This includes super-additive penalties for addressing the cognitive burden imposed…

Computation and Language · Computer Science 2016-09-26 Ruey-Cheng Chen

In model checking for regressions, nonparametric estimation-based tests usually have tractable limiting null distributions and are sensitive to oscillating alternative models, but suffer from the curse of dimensionality. In contrast,…

Methodology · Statistics 2019-03-12 Lingzhu Li , Xuehu Zhu , Lixing Zhu

Structural failure time models are causal models for estimating the effect of time-varying treatments on a survival outcome. G-estimation and artificial censoring have been proposed to estimate the model parameters in the presence of…

Methodology · Statistics 2019-02-19 Shu Yang , Karen Pieper , Frank Cools

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

Methodology · Statistics 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

Penalized likelihood methods are fundamental to ultra-high dimensional variable selection. How high dimensionality such methods can handle remains largely unknown. In this paper, we show that in the context of generalized linear models,…

Statistics Theory · Mathematics 2009-10-08 Jianqing Fan , Jinchi Lv

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui

The so-called pinball loss for estimating conditional quantiles is a well-known tool in both statistics and machine learning. So far, however, only little work has been done to quantify the efficiency of this tool for nonparametric…

Statistics Theory · Mathematics 2011-02-11 Ingo Steinwart , Andreas Christmann

This paper investigates the expected excess risk of in-context learning (ICL) for multiclass classification. We formalize each task as a sequence of labeled examples followed by a query input; a pretrained model then estimates the query's…

Machine Learning · Statistics 2025-09-03 Chenrui Liu , Falong Tan , Chuanlong Xie , Yicheng Zeng , Lixing Zhu

When fitting a particular Economic model on a sample of data, the model may turn out to be heavily misspecified for some observations. This can happen because of unmodelled idiosyncratic events, such as an abrupt but short-lived change in…

Econometrics · Economics 2023-12-12 Jean-Jacques Forneron

In this study, we consider unsupervised clustering of categorical vectors that can be of different size using mixture. We use likelihood maximization to estimate the parameters of the underlying mixture model and a penalization technique to…

Statistics Theory · Mathematics 2017-09-08 Esther Derman , Erwan Le Pennec

The oracle property of model selection procedures has attracted a large volume of favorable publications in the literature, but also faced criticisms of being ineffective and misleading in applications. In this paper, we introduce a class…

Statistics Theory · Mathematics 2018-07-12 Xianyi Wu , Xian Zhou

In reinforcement learning, we can learn a model of future observations and rewards, and use it to plan the agent's next actions. However, jointly modeling future observations can be computationally expensive or even intractable if the…

We consider the problem of sparse estimation via a lasso-type penalized likelihood procedure in a factor analysis model. Typically, the model estimation is done under the assumption that the common factors are orthogonal (uncorrelated).…

Methodology · Statistics 2013-02-25 Kei Hirose , Michio Yamamoto

Empirical likelihood approach is one of non-parametric statistical methods, which is applied to the hypothesis testing or construction of confidence regions for pivotal unknown quantities. This method has been applied to the case of…

Statistics Theory · Mathematics 2015-09-21 Fumiya Akashi , Yan Liu , Masanobu Taniguchi

Off-policy evaluation (OPE) is a critical challenge in robust decision-making that seeks to assess the performance of a new policy using data collected under a different policy. However, the existing OPE methodologies suffer from several…

Machine Learning · Statistics 2025-02-11 Muhammad Faaiz Taufiq

Instrumental variable methods are widely used for inferring the causal effect in the presence of unmeasured confounders. Existing instrumental variable methods for nonlinear outcome models require stringent identifiability conditions. This…

Methodology · Statistics 2022-07-01 Sai Li , Zijian Guo
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