Level crossings and other level functionals of stationary Gaussian processes.
Kratz, Marie F. (2006)
Probability Surveys [electronic only]
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Kratz, Marie F. (2006)
Probability Surveys [electronic only]
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Rossignol, Raphaël (2008)
Electronic Communications in Probability [electronic only]
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Matsui, Muneya, Shieh, Narn-Rueih (2009)
Electronic Journal of Probability [electronic only]
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Hamahata, Y., Masubuchi, H. (2007)
Journal of Integer Sequences [electronic only]
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Hambly, Ben M., Jones, Liza A. (2007)
Electronic Journal of Probability [electronic only]
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Serge Cohen, Renaud Marty (2008)
Annales de l'I.H.P. Probabilités et statistiques
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This paper is devoted to establish an invariance principle where the limit process is a multifractional gaussian process with a multifractional function which takes its values in (1/2, 1). Some properties, such as regularity and local self-similarity of this process are studied. Moreover the limit process is compared to the multifractional brownian motion.
Kuczmaszewska, Anna, Szynal, Dominik (2000)
International Journal of Mathematics and Mathematical Sciences
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Katharina Kühn (2009)
Annales de l'I.H.P. Analyse non linéaire
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Colojoară, Alexandra (2006)
Surveys in Mathematics and its Applications
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Van Zanten, Harry (2008)
Electronic Communications in Probability [electronic only]
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Boufoussi, Brahim, Dozzi, Marco E., Guerbaz, Raby (2008)
Electronic Journal of Probability [electronic only]
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