D. Meschenmoser, A. P. Shashkin, “A functional central limit theorem for the measure of level surfaces of a Gaussian random field”, Teor. Veroyatnost. i Primenen., 57:1 (2012), 168–178; Theory Probab. Appl., 57:1 (2013), 162

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Teoriya Veroyatnostei i ee Primeneniya, 2012, Volume 57, Issue 1, Pages 168–178
DOI: https://doi.org/10.4213/tvp4438 (Mi tvp4438)

This article is cited in 13 scientific papers (total in 13 papers)

Short Communications

A functional central limit theorem for the measure of level surfaces of a Gaussian random field

D. Meschenmoser^a, A. P. Shashkin^b

^a University of Ulm
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (485 kB) Citations (13)

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DOI: https://doi.org/10.4213/tvp4438

Received: 11.03.2011

English version:
Theory of Probability and its Applications, 2013, Volume 57, Issue 1, Pages 162–172
DOI: https://doi.org/10.1137/S0040585X97985844

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: D. Meschenmoser, A. P. Shashkin, “A functional central limit theorem for the measure of level surfaces of a Gaussian random field”, Teor. Veroyatnost. i Primenen., 57:1 (2012), 168–178; Theory Probab. Appl., 57:1 (2013), 162–172

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https://doi.org/10.4213/tvp4438

https://www.mathnet.ru/eng/tvp/v57/i1/p168

This publication is cited in the following 13 articles:

Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz, “On the perimeter estimation of pixelated excursion sets of two‐dimensional anisotropic random fields”, Scandinavian J Statistics, 51:1 (2024), 268
Ryan Cotsakis, Elena Di Bernardino, Céline Duval, “Surface area and volume of excursion sets observed on point cloud based polytopic tessellations”, Ann. Appl. Probab., 34:3 (2024)
L. I. Nicolaescu, “Critical points of multidimensional random Fourier series: central limits”, Bernoulli, 24:2 (2018), 1128–1170
L. I. Nicolaescu, “A CLT concerning critical points of random functions on a Euclidean space”, Stoch. Process. Their Appl., 127:10 (2017), 3412–3446
Molchanov I., Theory of Random Sets, 2Nd Edition, Probability Theory and Stochastic Modelling, 87, Springer International Publishing Ag, 2017
Ilya Molchanov, Probability Theory and Stochastic Modelling, 87, Theory of Random Sets, 2017, 451
Ilya Molchanov, Probability Theory and Stochastic Modelling, 87, Theory of Random Sets, 2017, 225
Ilya Molchanov, Probability Theory and Stochastic Modelling, 87, Theory of Random Sets, 2017, 317
Ilya Molchanov, Probability Theory and Stochastic Modelling, 87, Theory of Random Sets, 2017, 1
Ilya Molchanov, Probability Theory and Stochastic Modelling, 87, Theory of Random Sets, 2017, 379
A. P. Shashkin, “Functional limit theorem for integrals over level sets of Gaussian random field”, Theory Probab. Appl., 60:1 (2016), 150–161
Evgeny Spodarev, Springer Optimization and Its Applications, 90, Modern Stochastics and Applications, 2014, 221
A. Shashkin, “A functional central limit theorem for the level measure of a Gaussian random field”, Stat. Probab. Lett., 83:2 (2013), 637–643

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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