Two classes of multivariate random fields with operator-stable marginals are constructed. The random fields X = {X(t) : t is an element of R-d} with values in R-m are invariant in law under operator-scaling in both the time-domain and the state-space. The construction is based on operator-stable random measures utilizing certain homogeneous functions. (C) 2018 Elsevier B.V. All rights reserved.
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Tulane Univ, Math Dept, 6823 St Charles Ave, New Orleans, LA 70118 USATulane Univ, Math Dept, 6823 St Charles Ave, New Orleans, LA 70118 USA
Didier, Gustavo
Meerschaert, Mark M.
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Michigan State Univ, Dept Stat & Probabil, 619 Red Cedar Rd, E Lansing, MI 48824 USATulane Univ, Math Dept, 6823 St Charles Ave, New Orleans, LA 70118 USA
Meerschaert, Mark M.
Pipiras, Vladas
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Univ N Carolina, Dept Stat & Operat Res, CB 3260,Hanes Hall, Chapel Hill, NC 27599 USATulane Univ, Math Dept, 6823 St Charles Ave, New Orleans, LA 70118 USA