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We prove a version of the reduction principle for functionals of vector long-range dependent random fields. The components of the fields may have different long-range dependent behaviours. The results are… Click to show full abstract
We prove a version of the reduction principle for functionals of vector long-range dependent random fields. The components of the fields may have different long-range dependent behaviours. The results are illustrated by an application to the first Minkowski functional of the Fisher–Snedecor random fields. Simulation studies confirm the obtained theoretical results and suggest some new problems.
Keywords:
functionals vector;
random fields;
reduction principle;
principle functionals
Journal Title: Methodology and Computing in Applied Probability
Year Published: 2019
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Journal Title: Methodology and Computing in Applied Probability
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!