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It has recently been shown that an unbinned distance-based statistic, the energy, can be used to construct an extremely powerful nonparametric multivariate two sample goodness-of-fit test. An extension to this method that makes it possible…

数据分析、统计与概率 · 物理学 2011-10-11 Mike Williams

In numerous applications data are observed at random times and an estimated graph of the spectral density may be relevant for characterizing and explaining phenomena. By using a wavelet analysis, one derives a nonparametric estimator of the…

统计理论 · 数学 2009-11-27 Jean-Marc Bardet , Pierre Bertrand

We present a method for the joint analysis of a panel of possibly nonstationary time series. The approach is Bayesian and uses a covariate-dependent infinite mixture model to incorporate multiple time series, with mixture components…

统计方法学 · 统计学 2020-06-05 Michael Bertolacci , Ori Rosen , Edward Cripps , Sally Cripps

Regression adjustments are often made to experimental data. Since randomization does not justify the models, bias is likely; nor are the usual variance calculations to be trusted. Here, we evaluate regression adjustments using Neyman's…

应用统计 · 统计学 2008-12-18 David A. Freedman

It is well known that the minimax rates of convergence of nonparametric density and regression function estimation of a random variable measured with error is much slower than the rate in the error free case. Surprisingly, we show that if…

统计理论 · 数学 2019-08-21 Fei Jiang , Yanyuan Ma , Raymond J. Carroll

We consider nonparametric estimation of a regression curve when the data are observed with multiplicative distortion which depends on an observed confounding variable. We suggest several estimators, ranging from a relatively simple one that…

统计理论 · 数学 2016-01-13 Aurore Delaigle , Peter Hall , Wen-Xin Zhou

Many scientific problems involve data exhibiting both temporal and cross-sectional dependencies. While linear dependencies have been extensively studied, the theoretical analysis of regression estimators under nonlinear dependencies remains…

统计理论 · 数学 2025-02-27 Marie-Christine Düker , Adam Waterbury

In the community of remote sensing, nonlinear mixing models have recently received particular attention in hyperspectral image processing. In this paper, we present a novel nonlinear spectral unmixing method following the recent multilinear…

计算机视觉与模式识别 · 计算机科学 2017-10-11 Qi Wei , Marcus Chen , Jean-Yves Tourneret , Simon Godsill

We consider the nonparametric estimation of the density function of weakly and strongly dependent processes with noisy observations. We show that in the ordinary smooth case the optimal bandwidth choice can be influenced by long range…

统计理论 · 数学 2008-08-13 Rafał Kulik

This paper presents an estimator for semiparametric models that uses a feed-forward neural network to fit the nonparametric component. Unlike many methodologies from the machine learning literature, this approach is suitable for…

应用统计 · 统计学 2017-05-19 Andrew Crane-Droesch

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…

其他统计学 · 统计学 2017-04-04 Srinjoy Das , Dimitris N. Politis

Nonresponse in panel studies can lead to a substantial loss in data quality due to its potential to introduce bias and distort survey estimates. Recent work investigates the usage of machine learning to predict nonresponse in advance, such…

统计方法学 · 统计学 2019-11-05 Christoph Kern , Bernd Weiss , Jan-Philipp Kolb

Modal regression has emerged as a flexible alternative to classical regression models when the conditional mean or median are unable to adequately capture the underlying relation between a response and a predictor variable. This approach is…

统计方法学 · 统计学 2025-04-08 Ana Pérez-González , Tomás R. Cotos-Yáñez , Rosa M. Crujeiras

The conditional independence assumption has recently appeared in a growing body of literature on the estimation of multivariate mixtures. We consider here conditionally independent multivariate mixtures of power series distributions with…

统计理论 · 数学 2025-09-09 Fadoua Balabdaoui , Harald Besdziek , Yong Wang

Nonlinear panel data models with fixed individual effects provide an important set of tools for describing microeconometric data. In a large class of such models (including probit, proportional hazard and quantile regression to name just a…

计量经济学 · 经济学 2020-02-07 Antonio F. Galvao , Jiaying Gu , Stanislav Volgushev

Over the last decade, nonparametric methods have gained increasing attention for modeling complex data structures due to their flexibility and minimal structural assumptions. In this paper, we study a general multivariate nonparametric…

统计方法学 · 统计学 2026-03-18 Kunal Rai , Archi Roy , Itai Dattner , Soudeep Deb

Finding interdependency relations between (possibly multivariate) time series provides valuable knowledge about the processes that generate the signals. Information theory sets a natural framework for non-parametric measures of several…

信息论 · 计算机科学 2016-02-09 German Gomez-Herrero , Wei Wu , Kalle Rutanen , Miguel C. Soriano , Gordon Pipa , Raul Vicente

It is often of interest to assess whether a function-valued statistical parameter, such as a density function or a mean regression function, is equal to any function in a class of candidate null parameters. This can be framed as a…

统计方法学 · 统计学 2023-06-14 Aaron Hudson

We propose a new approach to the semiparametric analysis of panel data binary choice models with fixed effects and dynamics (lagged dependent variables). The model we consider has the same random utility framework as in Honore and…

计量经济学 · 经济学 2025-09-03 Fu Ouyang , Thomas Tao Yang

In this paper, we define an underlying data generating process that allows for different magnitudes of cross-sectional dependence, along with time series autocorrelation. This is achieved via high-dimensional moving average processes of…

计量经济学 · 经济学 2025-07-22 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan