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Fractional random fields Operator scaling 1 Gaussian random field 1 Hurst index 1 Long-range dependence 1 Operator scaling 1 Operator scaling random field 1 Random field 1 Scaling transition 1 Self-similar 1
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Article 3
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Biermé, Hermine 1 Lim, C.Y. 1 Meerschaert, M.M. 1 Meerschaert, Mark M. 1 Puplinskaitė, Donata 1 Scheffler, H.-P. 1 Scheffler, Hans-Peter 1 Surgailis, Donatas 1
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Stochastic Processes and their Applications 2 Journal of Multivariate Analysis 1
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RePEc 3
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Scaling transition for long-range dependent Gaussian random fields
Puplinskaitė, Donata; Surgailis, Donatas - In: Stochastic Processes and their Applications 125 (2015) 6, pp. 2256-2271
In Puplinskaitė and Surgailis (2014) we introduced the notion of scaling transition for stationary random fields X on Z2 in terms of partial sums limits, or scaling limits, of X over rectangles whose sides grow at possibly different rate. The present paper establishes the existence of scaling...
Persistent link: https://www.econbiz.de/10011209776
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Parameter estimation for operator scaling random fields
Lim, C.Y.; Meerschaert, M.M.; Scheffler, H.-P. - In: Journal of Multivariate Analysis 123 (2014) C, pp. 172-183
Operator scaling random fields are useful for modeling physical phenomena with different scaling properties in each …
Persistent link: https://www.econbiz.de/10010718987
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Operator scaling stable random fields
Biermé, Hermine; Meerschaert, Mark M.; Scheffler, … - In: Stochastic Processes and their Applications 117 (2007) 3, pp. 312-332
A scalar valued random field is called operator-scaling if for some dxd matrix E with positive real parts of the … average and a harmonizable representation of stable operator scaling random fields by utilizing so called E …
Persistent link: https://www.econbiz.de/10008873729
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