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For a sequence of independent identically distributed random variables having a distribution function with an unknown parameter from a set $\Theta \subset \mathbf{R}^d$, we prove an analogue of the lower bound of Bahadur asymptotic…

Statistics Theory · Mathematics 2026-04-06 Mikhail Ermakov

The subspace identification method (SIM) has been extensively employed in the identification of discrete-time multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems. This paper focuses on the analysis of perturbation…

Systems and Control · Electrical Eng. & Systems 2025-08-25 Shuai Sun

We characterize the practical receiver in a wide range of signal intensity for optical wireless communication, from discrete pulse regime to continuous waveform regime. We first propose a statistical non-linear model based on the…

Information Theory · Computer Science 2020-02-10 Zhimeng Jiang , Chen Gong , Zhengyuan Xu

We investigate the scenario where a perturbed nonlinear system transmits its output measurements to a remote observer via a packet-based communication network. The sensors are grouped into N nodes and each of these nodes decides when its…

Systems and Control · Electrical Eng. & Systems 2022-10-10 E. Petri , R. Postoyan , D. Astolfi , D. Nešić , W. P. M. H. Heemels

Real-time density estimation is ubiquitous in many applications, including computer vision and signal processing. Kernel density estimation is arguably one of the most commonly used density estimation techniques, and the use of "sliding…

Machine Learning · Statistics 2023-11-13 Yinsong Wang , Yu Ding , Shahin Shahrampour

A popular Bayesian nonparametric approach to survival analysis consists in modeling hazard rates as kernel mixtures driven by a completely random measure. In this paper we derive asymptotic results for linear and quadratic functionals of…

Probability · Mathematics 2016-08-16 Giovanni Peccati , Igor Prünster

Active depth sensors like structured light, lidar, and time-of-flight systems sample the depth of the entire scene uniformly at a fixed scan rate. This leads to limited spatio-temporal resolution where redundant static information is…

Computer Vision and Pattern Recognition · Computer Science 2021-12-21 Manasi Muglikar , Diederik Paul Moeys , Davide Scaramuzza

Leveraging the high temporal resolution and dynamic range, object detection with event cameras can enhance the performance and safety of automotive and robotics applications in real-world scenarios. However, processing sparse event data…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Shenqi Wang , Yingfu Xu , Amirreza Yousefzadeh , Sherif Eissa , Henk Corporaal , Federico Corradi , Guangzhi Tang

This paper studies the probability of error associated with the social machine learning framework, which involves an independent training phase followed by a cooperative decision-making phase over a graph. This framework addresses the…

Machine Learning · Computer Science 2024-07-10 Ping Hu , Virginia Bordignon , Mert Kayaalp , Ali H. Sayed

This paper generalizes asymptotic properties obtained in the observation-driven times series models considered by \cite{dou:kou:mou:2013} in the sense that the conditional law of each observation is also permitted to depend on the…

Statistics Theory · Mathematics 2015-06-08 Randal Douc , François Roueff , Tepmony Sim

Fast and automated inference of binary-lens, single-source (2L1S) microlensing events with sampling-based Bayesian algorithms (e.g., Markov Chain Monte Carlo; MCMC) is challenged on two fronts: high computational cost of likelihood…

Instrumentation and Methods for Astrophysics · Physics 2021-05-19 Keming Zhang , Joshua S. Bloom , B. Scott Gaudi , Francois Lanusse , Casey Lam , Jessica R. Lu

Ordinary Differential Equations are widespread tools to model chemical, physical, biological process but they usually rely on parameters which are of critical importance in terms of dynamic and need to be estimated directly from the data.…

Methodology · Statistics 2014-10-29 Nicolas Brunel , Quentin Clairon

We develop a unified framework for automatic debiased machine learning (autoDML) for inference on a broad class of statistical parameters. The framework applies to any smooth functional of a nonparametric M-estimand, defined as the…

Methodology · Statistics 2026-03-23 Lars van der Laan , Aurelien Bibaut , Nathan Kallus , Alex Luedtke

We consider the problem of decentralized estimation using wireless sensor networks. Specifically, we propose a novel framework based on level-triggered sampling, a non-uniform sampling strategy, and sequential estimation. The proposed…

Applications · Statistics 2013-09-24 Yasin Yilmaz , Xiaodong Wang

This paper defines a Maximum Likelihood Estimator (MLE) for the admittance matrix estimation of distribution grids, utilising voltage magnitude and power measurements collected only from common, unsychronised measuring devices (Smart…

Systems and Control · Electrical Eng. & Systems 2022-10-06 Lisa Laurent , Jean-Sébastien Brouillon , Giancarlo Ferrari-Trecate

We introduce estimation and test procedures through divergence minimization for models satisfying linear constraints with unknown parameter. Several statistical examples and motivations are given. These procedures extend the empirical…

Statistics Theory · Mathematics 2008-11-24 Michel Broniatowski , Amor Keziou

In the recent past, there has been a concerted effort to develop mathematical models for real-world networks and to analyze various dynamics on these models. One particular problem of significant importance is to understand the effect of…

Probability · Mathematics 2012-03-08 Shankar Bhamidi , Remco van der Hofstad

Estimation of the parameters of a 2-dimensional sinusoidal model is a fundamental problem in digital signal processing and time series analysis. In this paper, we propose a robust least absolute deviation (LAD) estimators for parameter…

Statistics Theory · Mathematics 2023-06-19 Saptarshi Roy , Amit Mitra , N K Archak

The effect of the intrinsic lutetium radioactivity on the detection performances of a LYSO based in-beam PET prototype used for quality control of hadron therapy treatments is studied. This radioactivity leads to a background that degrades…

Instrumentation and Detectors · Physics 2020-01-28 Emmanuel Busato , Edouard Roux

Linear ARCH (LARCH) processes were introduced by Robinson [J. Econometrics 47 (1991) 67--84] to model long-range dependence in volatility and leverage. Basic theoretical properties of LARCH processes have been investigated in the recent…

Statistics Theory · Mathematics 2010-01-13 Jan Beran , Martin Schützner