A note on the third-order moment structure of bilinear model with non-independent shocks.
Martins, C.M. (1999)
Portugaliae Mathematica
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Martins, C.M. (1999)
Portugaliae Mathematica
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Petr Zvára (2004)
Kybernetika
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A non-linear AR(1) process is investigated when the associated white noise is positive. A criterion is derived for the geometric ergodicity of the process. Some explicit formulas are derived for one and two steps ahead extrapolation. Influence of parameter estimation on extrapolation is studied.
Gonçalves, E., Martins, C.M., Mendes-Lopes, N. (2000)
Portugaliae Mathematica
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Menshikov, Mikhail, Volkov, Stanislav (2008)
Electronic Journal of Probability [electronic only]
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Lin, Yan-Xia, McCrae, Michael (2002)
Journal of Applied Mathematics and Decision Sciences
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Hans Föllmer, Thomas Knispel (2007)
ESAIM: Probability and Statistics
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Expected suprema of a function observed along the paths of a nice Markov process define an excessive function, and in fact a potential if vanishes at the boundary. Conversely, we show under mild regularity conditions that any potential admits a representation in terms of expected suprema. Moreover, we identify the maximal and the minimal representing function in terms of probabilistic potential theory. Our results are motivated by the work of El Karoui and Meziou (2006) on the max-plus...
Moudafi, A., Maingé, P.-E. (2006)
Fixed Point Theory and Applications [electronic only]
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Krisztin, T., Wu, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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