Accession Number:

ADA010275

Title:

Zero-One Laws for Path Discontinuities of Gaussian Processes.

Descriptive Note:

Interim rept.,

Corporate Author:

NORTH CAROLINA UNIV CHAPEL HILL DEPT OF STATISTICS

Personal Author(s):

• Baker,Charles R.
• Cambanis,Stamatis

Report Date:

1974-05-08

Pagination or Media Count:

8.0

Abstract:

It is shown that with probability zero or one the paths of a separable Gaussian process with index set an interval have 1 a removable discontinuity, 2 only removable discontinuities, 3 only jumps, and 4 both jumps and removable discontinuities and no oscillatory discontinuities.

Descriptors:

• *PROBABILITY
• *STATISTICAL PROCESSES
• STOCHASTIC PROCESSES
• THEOREMS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE