On the vector process obtained by iterated integration of the telegraph signal.
Orsingher, Enzo (1999)
Georgian Mathematical Journal
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Orsingher, Enzo (1999)
Georgian Mathematical Journal
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Wiesław Dziubdziela (1997)
Applicationes Mathematicae
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We present a stochastic model which yields a stationary Markov process whose invariant distribution is maximum stable with respect to the geometrically distributed sample size. In particular, we obtain the autoregressive Pareto processes and the autoregressive logistic processes introduced earlier by Yeh et al
Basse, Andreas (2008)
Electronic Journal of Probability [electronic only]
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Seleši, Dora (2007)
Novi Sad Journal of Mathematics
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Dürre, Maximilian (2006)
Electronic Journal of Probability [electronic only]
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M. O. Olatinwo (2006)
Kragujevac Journal of Mathematics
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Seleši, Dora (2007)
Novi Sad Journal of Mathematics
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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.
Gusztáv Morvai, Benjamin Weiss (2014)
Kybernetika
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For a binary stationary time series define to be the number of consecutive ones up to the first zero encountered after time , and consider the problem of estimating the conditional distribution and conditional expectation of after one has observed the first outputs. We present a sequence of stopping times and universal estimators for these quantities which are pointwise consistent for all ergodic binary stationary processes. In case the process is a renewal process with zero the...