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Existing identification and estimation methods for semiparametric sample selection models rely heavily on exclusion restrictions. However, it is difficult in practice to find a credible excluded variable that has a correlation with…

Econometrics · Economics 2024-12-03 Zhewen Pan , Yifan Zhang

Consider discrete values of functions shifted by unobserved translation effects, which are independent realizations of a random variable with unknown distribution $\mu$, modeling the variability in the response of each individual. Our aim…

Statistics Theory · Mathematics 2008-12-18 Ismael Castillo , Jean-Michel Loubes

Effective non-parametric density estimation is a key challenge in high-dimensional multivariate data analysis. In this paper,we propose a novel approach that builds upon tensor factorization tools. Any multivariate density can be…

Machine Learning · Statistics 2022-10-19 Magda Amiridi , Nikos Kargas , Nicholas D. Sidiropoulos

Maximum likelihood estimators are proposed for the parameters and the densities in a semiparametric density ratio model in which the nonparametric baseline density is approximated by the Bernstein polynomial model. The EM algorithm is used…

Methodology · Statistics 2021-03-02 Zhong Guan

We consider the problem of estimating the value l({\phi}) of a linear functional, where the structural function {\phi} models a nonparametric relationship in presence of instrumental variables. We propose a plug-in estimator which is based…

Statistics Theory · Mathematics 2011-09-06 Christoph Breunig , Jan Johannes

Conditional density estimation generalizes regression by modeling a full density f(yjx) rather than only the expected value E(yjx). This is important for many tasks, including handling multi-modality and generating prediction intervals.…

Methodology · Statistics 2012-06-26 Michael P. Holmes , Alexander G. Gray , Charles Lee Isbell

The model interpretation is essential in many application scenarios and to build a classification model with a ease of model interpretation may provide useful information for further studies and improvement. It is common to encounter with a…

Machine Learning · Statistics 2019-01-07 Wan-Ping Nicole Chen , Yuan-chin Ivan Chang

We study the estimation, in Lp-norm, of density functions defined on [0,1]^d. We construct a new family of kernel density estimators that do not suffer from the so-called boundary bias problem and we propose a data-driven procedure based on…

Statistics Theory · Mathematics 2018-10-29 Karine Bertin , Salima El Kolei , Nicolas Klutchnikoff

Inverse probability weighted estimators are the oldest and potentially most commonly used class of procedures for the estimation of causal effects. By adjusting for selection biases via a weighting mechanism, these procedures estimate an…

Methodology · Statistics 2021-07-06 Ashkan Ertefaie , Nima S. Hejazi , Mark J. van der Laan

This paper is concerned with non-parametric estimation of the entropy in ranked set sampling. Theoretical properties of the proposed estimator are studied. The proposed estimator is compared with the rival estimator in simple random…

Computation · Statistics 2015-06-16 Morteza Amini , Mahdi Mahdizadeh

The estimation of the ratio of two density probability functions is of great interest in many statistics fields, including causal inference. In this study, we develop an ensemble estimator of density ratios with a novel loss function based…

Machine Learning · Statistics 2024-08-12 Wencheng Wu , David Benkeser

Neural network-based methods for (un)conditional density estimation have recently gained substantial attention, as various neural density estimators have outperformed classical approaches in real-data experiments. Despite these empirical…

Machine Learning · Statistics 2025-10-02 Dehao Dai , Jianqing Fan , Yihong Gu , Debarghya Mukherjee

We consider a new method for estimating the parameters of univariate Gaussian mixture models. The method relies on a nonparametric density estimator $\hat{f}_n$ (typically a kernel estimator). For every set of Gaussian mixture components,…

Statistics Theory · Mathematics 2025-10-17 Jüri Lember , Raul Kangro , Kristi Kuljus

Assume that we observe a large number of curves, all of them with identical, although unknown, shape, but with a different random shift. The objective is to estimate the individual time shifts and their distribution. Such an objective…

Applications · Statistics 2015-03-13 T. Trigano , U. Isserles , Y. Ritov

This paper is concerned with forecasting probability density functions. Density functions are nonnegative and have a constrained integral; thus, they do not constitute a vector space. Implementing unconstrained functional time-series…

Methodology · Statistics 2025-10-14 Frédéric Ferraty , Han Lin Shang

Let $\textbf{X} = (X_1,\ldots, X_p)$ be a stochastic vector having joint density function $f_{\textbf{X}}(x)$ with partitions $\textbf{X}_1 = (X_1,\ldots, X_k)$ and $\textbf{X}_2 = (X_{k+1},\ldots, X_p)$. A new method for estimating the…

Methodology · Statistics 2018-09-28 Håkon Otneim , Dag Tjøstheim

Estimation of the covariance structure of spatial processes is of fundamental importance in spatial statistics. In the literature, several non-parametric and semi-parametric methods have been developed to estimate the covariance structure…

Methodology · Statistics 2016-11-06 Shu Yang , Zhengyuan Zhu

The paper presents a multiplicative bias reduction estimator for nonparametric regression. The approach consists to apply a multiplicative bias correction to an oversmooth pilot estimator. In Burr et al. [2010], this method has been tested…

Statistics Theory · Mathematics 2011-03-02 Nicolas Hengartner , Eric Matzner-Løber , Laurent Rouvière , Thomas Burr

Real-world measurements often comprise a dominant signal contaminated by a noisy background. Robustly estimating the dominant signal in practice has been a fundamental statistical problem. Classically, mixture models have been used to…

Computation · Statistics 2026-05-20 Ananyabrata Barua , Ayanendranath Basu

We propose a structure of a semiparametric two-component mixture model when one component is parametric and the other is defined through linear constraints on its distribution function. Estimation of a two-component mixture model with an…

Methodology · Statistics 2017-12-22 Diaa Al Mohamad , Assia Boumahdaf
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