Geodesic
Lamperti-type theorems for random fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 520-544 Cet article a éte moissonné depuis la source Math-Net.Ru

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Lamperti-type theorems for random fields are presented. Together with known results, some new results are put forward on $\mathbf{R}^m$-valued self-similar fields $\{\mathbf{X}(\mathbf{t}),\, \mathbf{t} \in \mathbf{R}^d \}$, their domains of attraction, and the so-called Lamperti transformations, expressing the relation between self-similarity and stationarity. Regularly and slowly varying functions of several variables are also investigated.
Keywords: self-similar random fields, limit theorems
Mots-clés : Lamperti transformations. 
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Y. Davydov; V. Paulauskas. Lamperti-type theorems for random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 63 (2018) no. 3, pp. 520-544. http://geodesic.mathdoc.fr/item/TVP_2018_63_3_a6/

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