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The expected number of local maxima of a random field and the volume of tubes

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Publication:1317258
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DOI10.1214/aos/1176349404zbMath0801.62087OpenAlexW2064868751MaRDI QIDQ1317258

V. Pereyra

Publication date: 18 April 1994

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176349404

zbMATH Keywords

confidence intervalsnonlinearitylinear modelexpectation of the number of local maximamultidimensional unit spherevolume estimatorvolume of curvilinear tubes


Mathematics Subject Classification ID

Random fields; image analysis (62M40) General nonlinear regression (62J02)


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The geometry of least squares in the 21st century, Rotation space random fields with an application to fMRI data, On excursion sets, tube formulas and maxima of random fields., Asymptotic approximations for error probabilities of sequential or fixed sample size tests in exponential families.



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