Poisson source localization on the plane: change-point case

DOI10.1007/s10463-018-00704-0OpenAlexW2963492566WikidataQ128492178 ScholiaQ128492178MaRDI QIDQ2183763

Christian Farinetto, A. Top, Yury A. Kutoyants

Publication date: 27 May 2020

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06381

zbMATH Keywords

change-point problemsensorsinhomogeneous Poisson processBayesian estimatorlikelihood ratio processGPS localizationradioactive source

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Bayesian inference (62F15) Applications of statistics to physics (62P35) Geodesy, mapping problems (86A30) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Estimation of the position and time of emission of a source ⋮ Localization of two radioactive sources on the plane ⋮ On smooth change-point location estimation for Poisson processes ⋮ Poisson source localization on the plane: cusp case ⋮ On localization of source by hidden Gaussian processes with small noise

Cites Work

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• Statistical inference for spatial Poisson processes
• Estimation of cusp location of stochastic processes: a survey
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• Estimation of cusp location by Poisson observations
• On Bayesian estimators in misspecified change-point problems for Poisson process
• GPS Stochastic Modelling
• On multiple change-point estimation for Poisson process
• Least squares estimation techniques for position tracking of radioactive sources

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