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For recursive circular filtering based on circular statistics, we introduce a general framework for estimation of a circular state based on different circular distributions, specifically the wrapped normal distribution and the von Mises…

Systems and Control · Computer Science 2018-01-01 Gerhard Kurz , Igor Gilitschenski , Uwe D. Hanebeck

Random forests are powerful non-parametric regression method but are severely limited in their usage in the presence of randomly censored observations, and naively applied can exhibit poor predictive performance due to the incurred biases.…

Machine Learning · Statistics 2020-01-13 Alexander Hanbo Li , Jelena Bradic

We study the problem of space and time efficient evaluation of a nonparametric estimator that approximates an unknown density. In the regime where consistent estimation is possible, we use a piecewise multivariate polynomial interpolation…

Statistics Theory · Mathematics 2020-11-11 Paxton Turner , Jingbo Liu , Philippe Rigollet

In Huntington's disease research, a current goal is to understand how symptoms change prior to a clinical diagnosis. Statistically, this entails modeling symptom severity as a function of the covariate 'time until diagnosis', which is often…

Methodology · Statistics 2024-09-19 Seong-ho Lee , Brian D. Richardson , Yanyuan Ma , Karen S. Marder , Tanya P. Garcia

In the this paper, the authors propose to estimate the density of a targeted population with a weighted kernel density estimator (wKDE) based on a weighted sample. Bandwidth selection for wKDE is discussed. Three mean integrated squared…

Methodology · Statistics 2011-11-28 Bin Wang , Xiaofeng Wang

A new approach based on censoring and moment criterion is introduced for parameter estimation of count distributions when the probability generating function is available even though a closed form of the probability mass function and/or…

Statistics Theory · Mathematics 2024-09-18 Antonio Di Noia , Marzia Marcheselli , Caterina Pisani , Luca Pratelli

The performance of kernel density estimators is usually studied via Taylor expansions and asymptotic approximation arguments, in which the bandwidth parameter tends to zero with increasing sample size. In contrast, this paper focusses…

Statistics Theory · Mathematics 2026-02-25 Nils Lid Hjort , Nikolai G. Ushakov

The analysis of a truncated sample can be hindered by censoring. Survival information may be lost to follow-up or the birthdate may be missing. The data can still be modeled as a truncated point process and it is close to a Poisson process,…

Methodology · Statistics 2025-08-12 Fiete Sieg , Anne-Marie Toparkus , Rafael Weissbach

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

Statistics Theory · Mathematics 2007-10-22 Odile Pons

This paper, investigates the conditional quantile estimation of a scalar random response and a functional random covariate (i.e. valued in some infinite-dimensional space) whenever {\it functional stationary ergodic data with random…

Statistics Theory · Mathematics 2013-04-17 Mohamed Chaouch , Salah Khardani

Nonparametric estimators of a regression function with circular response and Rd-valued predictor are considered in this work. Local polynomial type estimators are proposed and studied. Expressions for their asymptotic biases and variances…

In a previous article, a least square regression estimation procedure was proposed: first, we condiser a family of functions and study the properties of an estimator in every unidimensionnal model defined by one of these functions; we then…

Statistics Theory · Mathematics 2007-06-13 Pierre Alquier

We study the nonparametric estimation for the intensity of Poisson random measure in jump-diffusion CIR model based on the low frequency observations. This is given in terms of the minimization of norms on a nonempty, closed and convex…

Statistics Theory · Mathematics 2016-03-10 Wei Xu

We address the problem of nonparametric estimation of characteristics for stationary and ergodic time series. We consider finite-alphabet time series and real-valued ones and the following four problems: i) estimation of the (limiting)…

Information Theory · Computer Science 2007-11-01 Boris Ryabko

Instrumental variable (IV) methods allow us the opportunity to address unmeasured confounding in causal inference. However, most IV methods are only applicable to discrete or continuous outcomes with very few IV methods for censored…

Methodology · Statistics 2020-09-30 Youjin Lee , Edward H. Kennedy , Nandita Mitra

A severe limitation of many nonparametric estimators for random coefficient models is the exponential increase of the number of parameters in the number of random coefficients included into the model. This property, known as the curse of…

Econometrics · Economics 2024-08-15 Maximilian Osterhaus

This paper presents a general framework for the estimation of regression models with circular covariates, where the conditional distribution of the response given the covariate can be specified through a parametric model. The estimation of…

Methodology · Statistics 2023-06-06 María Alonso-Pena , Irène Gijbels , Rosa M. Crujeiras

We consider a one-dimensional diffusion process $(X_t)$ which is observed at $n+1$ discrete times with regular sampling interval $\Delta$. Assuming that $(X_t)$ is strictly stationary, we propose nonparametric estimators of the drift and…

Statistics Theory · Mathematics 2009-09-29 Fabienne Comte , Valentine Genon-Catalot , Yves Rozenholc

We propose the density ratio permutation test, a hypothesis test that assesses whether the ratio between two densities is proportional to a known function based on independent samples from each distribution. The test uses an efficient…

Methodology · Statistics 2026-01-14 Alberto Bordino , Thomas B. Berrett

In this paper, we address the problem of simultaneous classification and estimation of hidden parameters in a sensor network with communications constraints. In particular, we consider a network of noisy sensors which measure a common…

Multiagent Systems · Computer Science 2012-06-19 Fabio Fagnani , Sophie M. Fosson , Chiara Ravazzi