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The upper bounds on the coverage probabilities of the confidence regions based on blockwise empirical likelihood [Kitamura (1997)] and nonstandard expansive empirical likelihood [Nordman et al. (2013)] methods for time series data are…

Methodology · Statistics 2014-08-01 Xianyang Zhang , Xiaofeng Shao

Bayesian Likelihood-Free Inference (LFI) approaches allow to obtain posterior distributions for stochastic models with intractable likelihood, by relying on model simulations. In Approximate Bayesian Computation (ABC), a popular LFI method,…

Methodology · Statistics 2022-02-08 Lorenzo Pacchiardi , Ritabrata Dutta

We propose simple formulas of confidence intervals for the Wald statistic, likelihood ratio statistic, and score statistic for a network meta-analysis. In addition, we consider resolutions for concerns that network meta-analyses with a…

Methodology · Statistics 2022-01-12 Masahiro Kojima

In this paper, we use convolutional neural networks to address the problem of model identification for autoregressive moving average time series models. We compare the performance of several neural network architectures, trained on…

Methodology · Statistics 2020-07-21 Wai Hoh Tang , Adrian Röllin

I propose a nonparametric iid bootstrap procedure for the empirical likelihood, the exponential tilting, and the exponentially tilted empirical likelihood estimators that achieves asymptotic refinements for t tests and confidence intervals,…

Econometrics · Economics 2026-02-03 Seojeong Lee

We propose a two-sample extended empirical likelihood for inference on the difference between two p-dimensional parameters defined by estimating equations. The standard two-sample empirical likelihood for the difference is Bartlett…

Statistics Theory · Mathematics 2014-12-24 Min Tsao , Fan Wu

Firth (1993, Biometrika) shows that the maximum Jeffreys' prior penalized likelihood estimator in logistic regression has asymptotic bias decreasing with the square of the number of observations when the number of parameters is fixed, which…

Methodology · Statistics 2024-09-09 Ioannis Kosmidis , Patrick Zietkiewicz

The paper offers a unified approach to the study of three locally adaptive estimation methods in the context of univariate time series from both theoretical and empirical points of view. A general procedure for the computation of critical…

Statistics Theory · Mathematics 2008-12-03 Mstislav Elagin

In this paper we obtain an adjusted version of the likelihood ratio test for errors-in-variables multivariate linear regression models. The error terms are allowed to follow a multivariate distribution in the class of the elliptical…

Statistics Theory · Mathematics 2011-08-05 Tatiane F. N. Melo , Silvia L. P. Ferrari

Linear models that contain a time-dependent response and explanatory variables have attracted much interest in recent years. The most general form of the existing approaches is of a linear regression model with autoregressive moving average…

Methodology · Statistics 2021-02-15 Hamed Haselimashhadi , Veronica Vinciotti

This paper develops a rigorous asymptotic framework for likelihood-based inference in the Block Maxima (BM) method for stationary time series. While Bayesian inference under the BM approach has been widely studied in the independence…

Statistics Theory · Mathematics 2025-06-24 David L. Carl , Simone A. Padoan , Stefano Rizzelli

While fiducial inference was widely considered a big blunder by R.A. Fisher, the goal he initially set --`inferring the uncertainty of model parameters on the basis of observations' -- has been continually pursued by many statisticians. To…

Machine Learning · Statistics 2024-08-01 Faming Liang , Sehwan Kim , Yan Sun

One simple, and often very effective, way to attenuate the impact of nuisance parameters on maximum likelihood estimation of a parameter of interest is to recenter the profile score for that parameter. We apply this general principle to the…

Econometrics · Economics 2019-09-19 Federico Martellosio , Grant Hillier

Change point analysis has become an important research topic in many fields of applications. Several research work has been carried out to detect changes and its locations in time series data. In this paper, a nonparametric method based on…

Methodology · Statistics 2017-11-28 Ramadha D. Piyadi Gamage , Wei Ning

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

Methodology · Statistics 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

The Birnbaum-Saunders distribution, also known as the fatigue-life distribution, is frequently used in reliability studies. We obtain adjustments to the Birnbaum--Saunders profile likelihood function. The modified versions of the likelihood…

Methodology · Statistics 2008-04-06 Audrey H. M. A. Cysneiros , Francisco Cribari-Neto , Carlos A. G. Araujo

We consider the problem of constructing confidence intervals for nonparametric functional data analysis using empirical likelihood. In this doubly infinite-dimensional context, we demonstrate the Wilks's phenomenon and propose a…

Methodology · Statistics 2009-04-07 Heng Lian

A new approach to adaptive design of clinical trials is proposed in a general multiparameter exponential family setting, based on generalized likelihood ratio statistics and optimal sequential testing theory. These designs are easy to…

Statistics Theory · Mathematics 2011-05-25 Jay Bartroff , Tze Leung Lai

This paper provides a user's guide to the general theory of approximate randomization tests developed in Canay, Romano, and Shaikh (2017) when specialized to linear regressions with clustered data. An important feature of the methodology is…

Econometrics · Economics 2022-03-16 Yong Cai , Ivan A. Canay , Deborah Kim , Azeem M. Shaikh

Inverse classification, the process of making meaningful perturbations to a test point such that it is more likely to have a desired classification, has previously been addressed using data from a single static point in time. Such an…

Machine Learning · Computer Science 2016-11-15 Michael T. Lash , W. Nick Street
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