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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 23, Fasc. 1,
pages 1 - 5
 

LINEARLY ADDITIVE RANDOM FIELDS WITH INDEPENDENT INCREMENTS ON TIME-LIKE CURVES

Shigeo Takenaka

Abstract: Let V be a convex cone in Rn. A curve L = (l(t);t (- R ) < Rn + is called a time-like curve if (l(s);s > t) < l(t)+ V holds for any t. A random field (X(t);t (- Rn) whose restriction X | (t) = X(l(t)) L on time-like curve L becomes an additive process is considered and it is characterized as a set-indexed random field on the dual cone V *.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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