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This work considers the problem of locating a single source from noisy range measurements to a set of nodes in a wireless sensor network. We propose two new techniques that we designate as Source Localization with Nuclear Norm (SLNN) and…

Optimization and Control · Mathematics 2011-11-30 Pınar Oğuz-Ekim , João Gomes , João Xavier , Marko Stošić , Paulo Oliveira

Machine learning (ML) solutions to indoor localization problems have become popular in recent years due to high positioning accuracy and low cost of implementation. This paper proposes a novel local nonparametric approach for solving…

Signal Processing · Electrical Eng. & Systems 2023-02-22 Nora Agah , Brian Evans , Xiao Meng , Haiqing Xu

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

Statistics Theory · Mathematics 2015-07-07 Yu. Yu. Linke

The Latent Block Model (LBM) is a model-based method to cluster simultaneously the $d$ columns and $n$ rows of a data matrix. Parameter estimation in LBM is a difficult and multifaceted problem. Although various estimation strategies have…

Statistics Theory · Mathematics 2020-02-26 Vincent Brault , Christine Keribin , Mahendra Mariadassou

Highly robust and efficient estimators for the generalized linear model with a dispersion parameter are proposed. The estimators are based on three steps. In the first step the maximum rank correlation estimator is used to consistently…

Methodology · Statistics 2017-03-29 Michael Amiguet , Alfio Marazzi , Marina Valdora , Victor Yohai

A recent trend of research on direction-of-arrival (DOA) estimation is to localize more uncorrelated sources than sensors by using a proper sparse linear array (SLA) and the Toeplitz covariance structure, at a cost of robustness to source…

Signal Processing · Electrical Eng. & Systems 2022-03-28 Zai Yang , Xinyao Chen , Xunmeng Wu

The normality assumption on data set is very restrictive approach for modelling. The generalized form of normal distribution, named as an exponential power (EP) distribution, and its scale mixture form have been considered extensively to…

Statistics Theory · Mathematics 2017-07-20 Mehmet Niyazi Cankaya , Olcay Arslan

Motivated by studying asymptotic properties of the maximum likelihood estimator (MLE) in stochastic volatility (SV) models, in this paper we investigate likelihood estimation in state space models. We first prove, under some regularity…

Statistics Theory · Mathematics 2010-11-15 Cheng-Der Fuh

The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the existence of a sort of contraction of…

Statistics Theory · Mathematics 2007-10-08 Djalil Chafai , Didier Concordet

This manuscript is a preliminary pre-print version of a journal submission by the authors, revisiting the problem of range measurement based localization of a signal source or a sensor. The major geometric difficulty of the problem comes…

Optimization and Control · Mathematics 2013-10-29 Baris Fidan , Fatma Kiraz

Nonresponse after probability sampling is a universal challenge in survey sampling, often necessitating adjustments to mitigate sampling and selection bias simultaneously. This study explored the removal of bias and effective utilization of…

Methodology · Statistics 2025-11-13 Kosuke Morikawa , Kenji Beppu , Wataru Aida

The challenging problem of non-line-of-sight (NLOS) localization is critical for many wireless networking applications. The lack of available datasets has made NLOS localization difficult to tackle with ML-driven methods, but recent…

Networking and Internet Architecture · Computer Science 2024-10-28 Rafayel Darbinyan , Hrant Khachatrian , Rafayel Mkrtchyan , Theofanis P. Raptis

The problem of estimating an unknown deterministic parameter vector from sign measurements with a perturbed sensing matrix is studied in this paper. We analyze the best achievable mean square error (MSE) performance by exploring the…

Information Theory · Computer Science 2015-06-18 Jiang Zhu , Xiaohan Wang , Yuantao Gu

We propose a class of convex relaxations to solve the sensor network localization problem, based on a maximum likelihood (ML) formulation. This class, as well as the tightness of the relaxations, depends on the noise probability density…

Information Theory · Computer Science 2017-09-18 Andrea Simonetto , Geert Leus

In many statistical signal processing applications, the estimation of nuisance parameters and parameters of interest is strongly linked to the resulting performance. Generally, these applications deal with complex data. This paper focuses…

Applications · Statistics 2016-08-24 Melanie Mahot , Philippe Forster , Frederic Pascal , Jean-Philippe Ovarlez

This paper introduces a unified framework for the detection of a source with a sensor array in the context where the noise variance and the channel between the source and the sensors are unknown at the receiver. The Generalized Maximum…

Probability · Mathematics 2010-06-16 Pascal Bianchi , Merouane Debbah , Mylène Maïda , Jamal Najim

This article considers the problem of source localization (SL) using possibly unreliable time-of-arrival (TOA) based range measurements. Adopting the strategy of statistical robustification, we formulate TOA SL as minimization of a…

Signal Processing · Electrical Eng. & Systems 2024-01-18 Wenxin Xiong , Christian Schindelhauer , Hing Cheung So

Accurate and reliable localization is crucial for various wireless communication applications. Numerous studies have proposed accurate localization methods using hybrid received signal strength (RSS) and angle of arrival (AOA) measurements.…

Signal Processing · Electrical Eng. & Systems 2023-07-25 Weizhong Ding , Shengming Chang , Shudi Bao

This paper presents a non-cooperative source localization approach based on received signal strength (RSS) and 2D environment map, considering both line-of-sight (LOS) and non-line-of-sight (NLOS) conditions. Conventional localization…

Signal Processing · Electrical Eng. & Systems 2025-06-11 Hao Sun , Weiming Huang , Xianghao Yu , Junting Chen

Maximum likelihood estimation has been extensively used in the joint analysis of repeated measurements and survival time. However, there is a lack of theoretical justification of the asymptotic properties for the maximum likelihood…

Statistics Theory · Mathematics 2007-06-13 Donglin Zeng , Jianwen Cai