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We address the weighting problem in voluntary samples under a nonignorable sample selection model. Under the assumption that the sample selection model is correctly specified, we can compute a consistent estimator of the model parameter and…

Methodology · Statistics 2023-05-12 Jae Kwang Kim , Kosuke Morikawa

This paper develops power and sample size formulas for causal inference with time-to-event outcomes. The target estimand is the marginal hazard ratio: the coefficient of a marginal structural Cox proportional hazard model with treatment as…

Methodology · Statistics 2026-05-19 Chengxin Yang , Bo Liu , Fan Li

A reasonable confidence interval should have a confidence coefficient no less than the given nominal level and a small expected length to reliably and accurately estimate the parameter of interest, and the bootstrap interval is considered…

Statistics Theory · Mathematics 2024-02-15 Weizhen Wang , Chongxiu Yu , Zhongzhan Zhang

The paper describes a new class of capture-recapture models for closed populations when individual covariates are available. The novelty consists in combining a latent class model for the distribution of the capture history, where the class…

Methodology · Statistics 2021-11-08 Antonio Forcina , Francesco Bartolucci

Computing the probability of evidence even with known error bounds is NP-hard. In this paper we address this hard problem by settling on an easier problem. We propose an approximation which provides high confidence lower bounds on…

Artificial Intelligence · Computer Science 2012-06-26 Vibhav Gogate , Bozhena Bidyuk , Rina Dechter

Thomas' partial likelihood estimator of regression parameters is widely used in the analysis of nested case-control data with Cox's model. This paper proposes a new estimator of the regression parameters, which is consistent and…

Statistics Theory · Mathematics 2007-06-13 Kani Chen

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

Two-sample inference for the difference of population means typically relies upon a Central Limit Theorem approximation. When data are drawn from a Negative Binomial distribution, previous work of Shilane et al. (2010) showed that a Normal…

Methodology · Statistics 2012-03-06 David Shilane , Derek Bean

We consider the problem of interval estimation of the odds ratio. An asymptotic confidence interval is widely applied in medical research. Unfortunately that confidence interval has a poor coverage probability: it is significantly smaller…

Methodology · Statistics 2020-11-19 Zofia Zielińska-Kolasińska , Wojciech Zieliński

The issue addressed in this paper is that of testing for common breaks across or within equations of a multivariate system. Our framework is very general and allows integrated regressors and trends as well as stationary regressors. The null…

Statistics Theory · Mathematics 2018-01-12 Tatsushi Oka , Pierre Perron

The present manuscript studies signal detection by likelihood ratio tests in a number of spiked random matrix models, including but not limited to Gaussian mixtures and spiked Wishart covariance matrices. We work directly with multi-spiked…

Statistics Theory · Mathematics 2018-04-03 Debapratim Banerjee , Zongming Ma

In this paper we explore partial coherence as a tool for evaluating causal influence of one signal sequence on another. In some cases the signal sequence is sampled from a time- or space-series. The key idea is to establish a connection…

Signal Processing · Electrical Eng. & Systems 2021-12-09 Louis L. Scharf , Yuan Wang

The empirical likelihood inference is extended to a class of semiparametric models for stationary, weakly dependent series. A partially linear single-index regression is used for the conditional mean of the series given its past, and the…

Methodology · Statistics 2021-05-18 Marie Du Roy de Chaumaray , Matthieu Marbac , Valentin Patilea

In many applications, the parameter of interest involves a simplex-valued weight which is identified as a solution to an optimization problem. Examples include synthetic control methods with group-level weights and various methods of model…

Econometrics · Economics 2026-01-08 Nathan Canen , Kyungchul Song

This paper introduces a version of empirical likelihood based on the periodogram and spectral estimating equations. This formulation handles dependent data through a data transformation (i.e., a Fourier transform) and is developed in terms…

Statistics Theory · Mathematics 2011-11-10 Daniel J. Nordman , Soumendra N. Lahiri

Stemming from the high profile publication of Nissen and Wolski (2007) and subsequent discussions with divergent views on how to handle observed zero-total-event studies, defined to be studies which observe zero events in both treatment and…

Methodology · Statistics 2023-10-23 Xiaolin Chen , Jerry Q Cheng , Lu Tian , Minge Xie

Public-use survey data are an important source of information for researchers in social science and health studies to build statistical models and make inferences on the target finite population. This paper presents two general inferential…

Methodology · Statistics 2020-05-26 Puying Zhao , J. N. K. Rao , Changbao Wu

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…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

Some large scale inference problems are considered based on using the relative belief ratio as a measure of statistical evidence. This approach is applied to the multiple testing problem. A particular application of this is concerned with…

Statistics Theory · Mathematics 2016-09-22 Michael Evans , Jabed Tomal

We propose a test for a change in the mean for a sequence of functional observations that are only partially observed on subsets of the domain, with no information available on the complement. The framework accommodates important scenarios,…

Methodology · Statistics 2025-10-10 Šárka Hudecová , Claudia Kirch