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We propose multiplier bootstrap procedures for nonparametric inference and uncertainty quantification of the target mean function, based on a novel framework of integrating target and source data. We begin with the relatively easier…

Methodology · Statistics 2025-01-06 Zuofeng Shang , Peijun Sang , Chong Jin

A completely nonparametric method for the estimation of mixture cure models is proposed. A nonparametric estimator of the incidence is extensively studied and a nonparametric estimator of the latency is presented. These estimators, which…

Methodology · Statistics 2024-01-31 Ana López-Cheda , Ricardo Cao , M. Amalia Jácome , Ingrid Van Keilegom

This paper proposes parametric and non-parametric hypothesis testing algorithms for detecting anisotropy -- rotational variance of the covariance function in random fields. Both algorithms are based on resampling mechanisms, which enable…

Methodology · Statistics 2021-06-08 Assaf Rabinowicz , Saharon Rosset

Research within the field of multiscale modelling seeks, amongst other questions, to reconcile atomistic scale interactions with thermodynamical quantities (such as stress) on the continuum scale. The estimation of stress at a continuum…

Computational Physics · Physics 2015-04-10 Manfred H. Ulz , Sean J. Moran

Nonparametric regression is a standard statistical tool with increased importance in the Big Data era. Boundary points pose additional difficulties but local polynomial regression can be used to alleviate them. Local linear regression, for…

Other Statistics · Statistics 2017-04-04 Srinjoy Das , Dimitris N. Politis

In this paper I consider improving the KernelSHAP algorithm. I suggest to use the Wallenius' noncentral hypergeometric distribution for sampling the number of coalitions and perform sampling without replacement, so that the KernelSHAP…

Methodology · Statistics 2026-01-15 Fredrik Lohne Aanes

This paper proposes nonparametric kernel-smoothing estimation for panel data to examine the degree of heterogeneity across cross-sectional units. We first estimate the sample mean, autocovariances, and autocorrelations for each unit and…

Econometrics · Economics 2019-05-28 Ryo Okui , Takahide Yanagi

For the conditional mean function of panel count model with time-varying coefficients, we propose to use local kernel regression method for estimation. Partial log-likelihood with local polynomial is formed for estimation. Under some…

Statistics Theory · Mathematics 2019-03-26 Yang Wang , Zhangsheng Yu

In this paper, we construct the simultaneous confidence band (SCB) for the nonparametric component in partially linear panel data models with fixed effects. We remove the fixed effects, and further obtain the estimators of parametric and…

Methodology · Statistics 2017-01-23 Xiujuan Yang , Suigen Yang , Gaorong Li

Given additional distributional information in the form of moment restrictions, kernel density and distribution function estimators with implied generalised empirical likelihood probabilities as weights achieve a reduction in variance due…

Methodology · Statistics 2019-10-08 Vitaliy Oryshchenko , Richard J. Smith

The paper presents a systematic theory for asymptotic inference of autocovariances of stationary processes. We consider nonparametric tests for serial correlations based on the maximum (or ${\cal L}^\infty$) and the quadratic (or ${\cal…

Statistics Theory · Mathematics 2015-03-19 Han Xiao , Wei Biao Wu

A key challenge in probabilistic regression is ensuring that predictive distributions accurately reflect true empirical uncertainty. Minimizing overall prediction error often encourages models to prioritize informativeness over calibration,…

Machine Learning · Statistics 2026-02-17 Ádám Jung , Domokos M. Kelen , András A. Benczúr

A novel non-parametric estimator of the correlation between grouped measurements of a quantity is proposed in the presence of noise. This work is primarily motivated by functional brain network construction from fMRI data, where brain…

Methodology · Statistics 2023-02-16 Hanâ Lbath , Alexander Petersen , Wendy Meiring , Sophie Achard

We analyze a new algorithm for probability forecasting of binary observations on the basis of the available data, without making any assumptions about the way the observations are generated. The algorithm is shown to be well calibrated and…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

We propose completely nonparametric methodology to investigate location-scale modelling of two-component mixture cure models, where the responses of interest are only indirectly observable due to the presence of censoring and the presence…

Methodology · Statistics 2018-03-12 Justin Chown , Cedric Heuchenne , Ingrid Van Keilegom

We suggest novel correlation coefficients which equal the maximum correlation for a class of bivariate Lancaster distributions while being only slightly smaller than maximum correlation for a variety of further bivariate distributions. In…

Methodology · Statistics 2024-05-01 Hajo Holzmann , Bernhard Klar

We propose a nonparametric bivariate time-varying coefficient model for longitudinal measurements with the occurrence of a terminal event that is subject to right censoring. The time-varying coefficients capture the longitudinal…

Methodology · Statistics 2021-11-10 Yue Wang , Bin Nan , Jack D. Kalbfleisch

In this paper we develop a nonparametric regression method that is simultaneously adaptive over a wide range of function classes for the regression function and robust over a large collection of error distributions, including those that are…

Statistics Theory · Mathematics 2008-10-28 Lawrence D. Brown , T. Tony Cai , Harrison H. Zhou

In spatio-temporal analysis, we often record data at specific time intervals but with varying spatial locations between these timepoints. We propose a conditional model to analyze such spatio-temporal data that accommodates the dependencies…

Methodology · Statistics 2026-04-03 Subhrajyoty Roy , Soudeep Deb , Sayar Karmakar , Rishideep Roy

We present a new strategy for learning the functional relation between a pair of variables, while addressing inhomogeneities in the correlation structure of the available data, by modelling the sought function as a sample function of a…

Machine Learning · Statistics 2024-04-22 Gargi Roy , Dalia Chakrabarty