학술저널
SAMPLE PATH PROPERTY OF CHENTSOV FIELDS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 11, No. 1
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1998.0835 - 44 (10 pages)
- 0
Let {X(t),t ∊ ℝⁿ} be a SaS H-sssis Chentsov random field with control measure m. We consider a geometric construction for Lévy-Chentsov random fields and Takenaka random fields. Finally, we proved some property of conjugate classes and a.s. Hölder unboundedness of SaS H-sssis Chentsov random fields for all order r > H.
Abstract
1. Introduction
2. Chentsov random fields
3. Conjugate class of Chentsov fields
4. Unboundedness of Chentsov field
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