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We consider the high order moments estimator of the frontier of a random pair introduced by Girard, S., Guillou, A., Stupfler, G. (2012). {\it Frontier estimation with kernel regression on high order moments}. In the present paper, we show…

Statistics Theory · Mathematics 2013-07-17 Stephane Girard , Armelle Guillou , Gilles Stupfler

We propose a novel framework for matching estimators for causal effect from observational data that is based on minimizing the dual norm of estimation error when expressed as an operator. We show that many popular matching estimators can be…

Methodology · Statistics 2017-03-01 Nathan Kallus

It is commonly assumed that a specific testing occasion (task, design, procedure, etc.) provides insights that generalise beyond that occasion. This assumption is infrequently carefully tested in data. We develop a statistically principled…

Applications · Statistics 2020-03-27 Laura Wall , David Gunawan , Scott D. Brown , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins

This paper considers the problem of cardinality estimation in data stream applications. We present a statistical analysis of probabilistic counting algorithms, focusing on two techniques that use pseudo-random variates to form…

Computation · Statistics 2012-11-20 Peter Clifford , Ioana A. Cosma

We propose new estimates for the frontier of a set of points. They are defined as kernel estimates covering all the points and whose associated support is of smallest surface. The estimates are written as linear combinatio- ns of kernel…

Methodology · Statistics 2011-03-31 Guillaume Bouchard , Stéphane Girard , Anatoli Iouditski , Alexander Nazin

A random coefficient autoregressive process is deeply investigated in which the coefficients are correlated. First we look at the existence of a strictly stationary causal solution, we give the second-order stationarity conditions and the…

Statistics Theory · Mathematics 2018-03-29 Frédéric Proïa , Marius Soltane

We revisit the classical problem of comparing regression functions, a fundamental question in statistical inference with broad relevance to modern applications such as data integration, transfer learning, and causal inference. Existing…

Methodology · Statistics 2025-10-29 Jian Yan , Zhuoxi Li , Yang Ning , Yong Chen

De Haan and Pereira (2006) provided models for spatial extremes in the case of stationarity, which depend on just one parameter {\beta} > 0 measuring tail dependence, and they proposed different estimators for this parameter. This framework…

Statistics Theory · Mathematics 2012-02-24 Stefan Aulbach , Michael Falk

In this paper a general approach for the perfect simulation of a stationary process with at most countable state space is outlined. The process is specified through a kernel, prescribing the probability of each state conditional to the…

Probability · Mathematics 2010-04-02 Emilio De Santis , Mauro Piccioni

We propose a multiple-kernel local-patch descriptor based on efficient match kernels from pixel gradients. It combines two parametrizations of gradient position and direction, each parametrization provides robustness to a different type of…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Arun Mukundan , Giorgos Tolias , Andrei Bursuc , Hervé Jégou , Ondřej Chum

This paper presents a unified rank-based inferential procedure for fitting the accelerated failure time model to partially interval-censored data. A Gehan-type monotone estimating function is constructed based on the idea of the familiar…

Methodology · Statistics 2026-04-14 Taehwa Choi , Sangbum Choi , Dipankar Bandyopadhyay

We propose a panel ARMA-GARCH model to capture the dynamics of large panel data with $N$ individuals over $T$ time periods. For this model, we provide a two-step estimation procedure to estimate the ARMA parameters and GARCH parameters…

Methodology · Statistics 2024-04-30 Bing Su , Ke Zhu

We develop TwinKernel methods for nonparametric estimation of intensity functions of point processes. Building on the general TwinKernel framework and combining it with martingale techniques for counting processes, we construct estimators…

Statistics Theory · Mathematics 2025-12-12 Jocelyn Nembé

We study the asymptotic behavior of kernel estimators of asymptotic variances (or long-run variances) for a class of adaptive Markov chains. The convergence is studied both in $L^p$ and almost surely. The results also apply to Markov chains…

Probability · Mathematics 2011-05-17 Yves F. Atchadé

Software effort estimation models are typically developed based on an underlying assumption that all data points are equally relevant to the prediction of effort for future projects. The dynamic nature of several aspects of the software…

Software Engineering · Computer Science 2021-07-06 Michael Franklin Bosu , Stephen G. MacDonell , Peter A. Whigham

Moment restrictions and their conditional counterparts emerge in many areas of machine learning and statistics ranging from causal inference to reinforcement learning. Estimators for these tasks, generally called methods of moments, include…

Machine Learning · Computer Science 2023-06-14 Heiner Kremer , Yassine Nemmour , Bernhard Schölkopf , Jia-Jie Zhu

In real supervised learning scenarios, it is not uncommon that the training and test sample follow different probability distributions, thus rendering the necessity to correct the sampling bias. Focusing on a particular covariate shift…

Machine Learning · Computer Science 2012-06-22 Yaoliang Yu , Csaba Szepesvari

Locally stationary Hawkes processes have been introduced in order to generalise classical Hawkes processes away from stationarity by allowing for a time-varying second-order structure. This class of self-exciting point processes has…

Statistics Theory · Mathematics 2018-01-31 François Roueff , Rainer Von Sachs

Many algorithms in computer vision and robotics make strong assumptions about uncertainty, and rely on the validity of these assumptions to produce accurate and consistent state estimates. In practice, dynamic environments may degrade…

Robotics · Computer Science 2017-08-04 Valentin Peretroukhin , William Vega-Brown , Nicholas Roy , Jonathan Kelly

In this paper, we consider the problem of estimating the marginal density in some nonlinear autoregressive time series models for which the conditional mean and variance have a parametric specification. Under some regularity conditions, we…

Statistics Theory · Mathematics 2016-10-31 Lionel Truquet