Sample behavior and laws of large numbers for Gaussian random elements.
Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Ergemlidze, Z., Shangua, A., Tarieladze, V. (2003)
Georgian Mathematical Journal
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Guangfei Li, Yu Miao, Huiming Peng, Liming Wu (2005)
Annales mathématiques Blaise Pascal
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For stationary Gaussian processes, we obtain the necessary and sufficient conditions for Poincaré inequality and log-Sobolev inequality of process-level and provide the sharp constants. The extension to moving average processes is also presented, as well as several concrete examples.
Siniša Stamatović, Biljana Stamatović (2005)
Matematički Vesnik
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Mamporia, B. (2000)
Georgian Mathematical Journal
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Basse, Andreas (2008)
Electronic Journal of Probability [electronic only]
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Mateusz Wiśniewski (1994)
Applicationes Mathematicae
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This paper contains the results concerning the weak convergence of d-dimensional extreme order statistics in a Gaussian, equally correlated array. Three types of limit distributions are found and sufficient conditions for the existence of these distributions are given.
Ballico, Edoardo, Fontanari, Claudio (2006)
Beiträge zur Algebra und Geometrie
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Račkauskas, Alfredas, Suquet, Charles (2001)
Georgian Mathematical Journal
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Toronjadze, T. (2001)
Georgian Mathematical Journal
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Ferreyra, Guillermo, Pascal, Jesus A. (2002)
Divulgaciones Matemáticas
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Kil Chong, Olga Kostyukova, Mariya Kurdina (2010)
Control and Cybernetics
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Popoviciu, Ioan (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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