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This paper develops a new framework for indirect statistical inference with guaranteed necessity and sufficiency, applicable to continuous random variables. We prove that when comparing exponentially transformed order statistics from an…

Statistics Theory · Mathematics 2025-09-25 Z Zhang , X Hu , C Lu , T Liu

We propose a novel sampling-based federated learning framework for statistical inference on M-estimators with non-smooth objective functions, which frequently arise in modern statistical applications such as quantile regression and AUC…

Methodology · Statistics 2025-05-06 Xiudi Li , Lu Tian , Tianxi Cai

A simple approach to gyro and accelerometer bias estimation is proposed. It does not involve Kalman filtering or similar formal techniques. Instead, it is based on physical intuition and exploits a duality between gimbaled and strapdown…

Systems and Control · Computer Science 2013-07-02 Vasiliy M. Tereshkov

Multi-arm bandit experimental designs are increasingly being adopted over standard randomized trials due to their potential to improve outcomes for study participants, enable faster identification of the best-performing options, and/or…

Methodology · Statistics 2025-06-04 Brian M Cho , Aurélien Bibaut , Nathan Kallus

We propose a two-step estimator for multilevel latent class analysis (LCA) with covariates. The measurement model for observed items is estimated in its first step, and in the second step covariates are added in the model, keeping the…

Methodology · Statistics 2025-01-08 Roberto Di Mari , Zsuzsa Bakk , Jennifer Oser , Jouni Kuha

We consider a two-stage procedure (TSP) for estimating an inverse regression function at a given point, where isotonic regression is used at stage one to obtain an initial estimate and a local linear approximation in the vicinity of this…

Statistics Theory · Mathematics 2011-05-17 Runlong Tang , Moulinath Banerjee , George Michailidis

Latent variable (LV) models are widely used in psychological research to investigate relationships among unobservable constructs. When one-stage estimation of the overall LV model is challenging, two-stage factor score regression (FSR)…

Methodology · Statistics 2026-01-27 Yang Liu , Xiaohui Luo , Jieyuan Dong , Youjin Sung , Yueqin Hu , Hongyun Liu , Daniel J. Bauer

This work tackles the problem of uncertainty propagation in two-stage Bayesian models, with a focus on spatial applications. A two-stage modeling framework has the advantage of being more computationally efficient than a fully Bayesian…

Methodology · Statistics 2025-02-27 Stephen Jun Villejo , Sara Martino , Janine Illian , William Ryan , Finn Lindgren

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

Methodology · Statistics 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

Estimation of the four generalized lambda distribution parameters is not straightforward, and available estimators that perform best have large computation times. In this paper, we introduce a simple two-step estimator of the parameters…

Methodology · Statistics 2020-02-26 Dilanka S. Dedduwakumara , Luke A. Prendergast , Robert G. Staudte

This paper develops a two-stage method for inference on partially identified parameters in moment inequality models with separable nuisance parameters. In the first stage, the nuisance parameters are estimated separately, and in the second…

Econometrics · Economics 2025-08-28 Xunkang Tian

This paper, which is Part 1 of a two-part paper series, considers a simulation-based inference with learned summary statistics, in which such a learned summary statistic serves as an empirical-likelihood with ameliorative effects in the…

Machine Learning · Statistics 2026-02-02 Getachew K. Befekadu

The debiased estimator is a crucial tool in statistical inference for high-dimensional model parameters. However, constructing such an estimator involves estimating the high-dimensional inverse Hessian matrix, incurring significant…

Machine Learning · Statistics 2023-12-18 Jiyuan Tu , Weidong Liu , Xiaojun Mao , Mingyue Xu

In this paper, we develop a multistage approach for estimating the mean of a bounded variable. We first focus on the multistage estimation of a binomial parameter and then generalize the estimation methods to the case of general bounded…

Statistics Theory · Mathematics 2009-04-27 Xinjia Chen

Two-stage randomization is a powerful design for estimating treatment effects in the presence of interference; that is, when one individual's treatment assignment affects another individual's outcomes. Our motivating example is a two-stage…

Applications · Statistics 2017-05-02 Guillaume Basse , Avi Feller

We introduce a double/debiased machine learning estimator for the impulse response function in settings where a time series of interest is subjected to multiple discrete treatments, assigned over time, which can have a causal effect on…

Econometrics · Economics 2025-12-17 Daniele Ballinari , Alexander Wehrli

We propose a class of estimators for deconvolution in mixture models based on a simple two-step "bin-and-smooth" procedure applied to histogram counts. The method is both statistically and computationally efficient: by exploiting recent…

Methodology · Statistics 2018-08-01 Oscar Hernan Madrid Padilla , Nicholas G. Polson , James G. Scott

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

Methodology · Statistics 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman

Performing inference over simulators is generally intractable as their runtime means we cannot compute a marginal likelihood. We develop a likelihood-free inference method to infer parameters for a cardiac simulator, which replicates…

Machine Learning · Statistics 2017-12-12 Adam McCarthy , Blanca Rodriguez , Ana Minchole

In the multivariate setting, estimates of extremal risk measures are important in many contexts, such as environmental planning and structural engineering. In this paper, we propose new estimation methods for extremal bivariate return…

Methodology · Statistics 2022-10-11 C. J. R. Murphy-Barltrop , J. L. Wadsworth , E. F. Eastoe
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