YANG Xinjian, . THE LARGE SCALE (SHORT SCALE) LIMIT THEORM ABOUT THE SUBORDINATED RANDOM FIELDS OF THE GENERALIZED STATIONARY GAUSSIAN RANDOM FIELDS[J]. Chinese Journal of Applied Probability and Statistics, 1989, 5(4): 334-342.
Citation:
YANG Xinjian, . THE LARGE SCALE (SHORT SCALE) LIMIT THEORM ABOUT THE SUBORDINATED RANDOM FIELDS OF THE GENERALIZED STATIONARY GAUSSIAN RANDOM FIELDS[J]. Chinese Journal of Applied Probability and Statistics, 1989, 5(4): 334-342.
YANG Xinjian, . THE LARGE SCALE (SHORT SCALE) LIMIT THEORM ABOUT THE SUBORDINATED RANDOM FIELDS OF THE GENERALIZED STATIONARY GAUSSIAN RANDOM FIELDS[J]. Chinese Journal of Applied Probability and Statistics, 1989, 5(4): 334-342.
Citation:
YANG Xinjian, . THE LARGE SCALE (SHORT SCALE) LIMIT THEORM ABOUT THE SUBORDINATED RANDOM FIELDS OF THE GENERALIZED STATIONARY GAUSSIAN RANDOM FIELDS[J]. Chinese Journal of Applied Probability and Statistics, 1989, 5(4): 334-342.
THE LARGE SCALE (SHORT SCALE) LIMIT THEORM ABOUT THE SUBORDINATED RANDOM FIELDS OF THE GENERALIZED STATIONARY GAUSSIAN RANDOM FIELDS
Under some reasonable hypotheses, we show that the large scale (short scale) limit for the subordinated random fields of the generalized stationary Gaussian random fields exists. The main results of this paper are theorems (3.1) and (3.2).