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The limiting distribution for M-estimates in a non-stationary autoregressive model with heavy-tailed error is computationally intractable. To make inferences based on the M-estimates, the bootstrap procedure can be used to approximate the…

Statistics Theory · Mathematics 2016-03-09 Maryam Sohrabi , Mahmoud Zarepour

This paper considers extensions of minimum-disparity estimators to the problem of estimating parameters in a regression model that is conditionally specified; that is where a parametric model describes the distribution of a response $y$…

Statistics Theory · Mathematics 2016-02-10 Giles Hooker

We study parametric inference for diffusion processes when observations occur nonsynchronously and are contaminated by market microstructure noise. We construct a quasi-likelihood function and study asymptotic mixed normality of…

Statistics Theory · Mathematics 2015-12-29 Teppei Ogihara

We address the issue of performing inference on the parameters that index a bimodal extension of the Birnbaum-Saunders distribution (BS). We show that maximum likelihood point estimation can be problematic since the standard nonlinear…

Computation · Statistics 2017-11-27 Rodney Fonseca , Francisco Cribari-Neto

This paper is concerned with asymptotic theory for penalized spline estimator in bivariate additive model. The focus of this paper is put upon the penalized spline estimator obtained by the backfitting algorithm. The convergence of the…

Statistics Theory · Mathematics 2011-04-28 T. Yoshida , K. Naito

Prediction intervals are commonly used in meta-analysis with random-effects models. One widely used method, the Higgins-Thompson-Spiegelhalter prediction interval, replaces the heterogeneity parameter with its point estimate, but its…

Methodology · Statistics 2025-11-14 Kengo Nagashima , Hisashi Noma , Toshi A. Furukawa

Mack's distribution-free chain ladder reserving model belongs to the most popular approaches in non-life insurance mathematics. Proposed to determine the first two moments of the reserve, it does not allow to identify the whole distribution…

Statistics Theory · Mathematics 2023-03-13 Julia Steinmetz , Carsten Jentsch

Asymptotic bootstrap validity is usually understood as consistency of the distribution of a bootstrap statistic, conditional on the data, for the unconditional limit distribution of a statistic of interest. From this perspective, randomness…

Econometrics · Economics 2025-10-09 Giuseppe Cavaliere , Iliyan Georgiev

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

Statistics Theory · Mathematics 2008-12-18 Hongling Zhou , Kung-Yee Liang

Predicting extreme events is important in many applications in risk analysis. The extreme-value theory suggests modelling extremes by max-stable distributions. The Bayesian approach provides a natural framework for statistical prediction.…

Statistics Theory · Mathematics 2020-09-22 Simone A. Padoan , Stefano Rizzelli

Seemingly unrelated regression models generalize linear regression models by considering multiple regression equations that are linked by contemporaneously correlated disturbances. Robust inference for seemingly unrelated regression models…

Methodology · Statistics 2018-05-15 Kris Peremans , Stefan Van Aelst

Estimations of physical parameters using data usually involve non-uniform experimental efficiencies. In this article, a method of maximum likelihood fit is introduced using the efficiency as a weight, while the probability distribution…

Data Analysis, Statistics and Probability · Physics 2023-08-31 Chenxu Yu , Yanxi Zhang

Standard approaches to constructing nonparametric confidence bands for functions are frustrated by the impact of bias, which generally is not estimated consistently when using the bootstrap and conventionally smoothed function estimators.…

Statistics Theory · Mathematics 2014-01-30 Peter Hall , Joel Horowitz

Double/debiased machine learning (DML) provides a general framework for inference with high-dimensional or otherwise complex nuisance parameters by combining Neyman-orthogonal scores with cross-fitting, thereby circumventing classical…

Statistics Theory · Mathematics 2026-04-21 Ziming Lin , Fang Han

In this paper, we investigate binary response models for heterogeneous panel data with interactive fixed effects by allowing both the cross-sectional dimension and the temporal dimension to diverge. From a practical point of view, the…

Econometrics · Economics 2021-11-18 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan

Multivariate extreme value statistical analysis is concerned with observations on several variables which are thought to possess some degree of tail-dependence. In areas such as the modeling of financial and insurance risks, or as the…

Applications · Statistics 2014-12-31 Alexis Bienvenüe , Christian Y. Robert

This paper deals with a situation when one is interested in the dependence structure of a multidimensional response variable in the presence of a multivariate covariate. It is assumed that the covariate affects only the marginal…

Statistics Theory · Mathematics 2019-03-12 Marek Omelka , Šárka Hudecová , Natalie Neumeyer

The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the existence of a sort of contraction of…

Statistics Theory · Mathematics 2007-10-08 Djalil Chafai , Didier Concordet

Linear mixed models are widely used to analyze non-independent data, but inference for fixed effects can be unreliable under misspecification of the random-effects distribution, inaccurate Fisher information estimation, or convergence…

Methodology · Statistics 2026-05-01 Angela Andreella , Livio Finos

We consider maximum likelihood estimation for both causal and noncausal autoregressive time series processes with non-Gaussian $\alpha$-stable noise. A nondegenerate limiting distribution is given for maximum likelihood estimators of the…

Statistics Theory · Mathematics 2009-08-14 Beth Andrews , Matthew Calder , Richard A. Davis
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