Accession Number:

ADA106981

Title:

Final Scientific Report.

Descriptive Note:

Rept. for 15 Mar 80-31 Aug 81,

Corporate Author:

MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS

Personal Author(s):

• Kedem,Benjamin

Report Date:

1980-01-01

Pagination or Media Count:

9.0

Abstract:

In this effort further study was made of the implication of the higher order crossings on stationary time series and homogeneous random fields. The Higher Order Crossings Theorem has been extended to homogeneous random fields and the psi-square first introduced in the literature by the principal investigator has been further studied. In particular, since the Higher Order Crossings Theorem can be extended to random fields this suggests that psi-square can be used in texture discrimination which is indeed the case. The investigators have studied the power of psi-square via simulation techniques of series and fields. As the alternative becomes more distinguishable so is the increase in the power as expected. Another aspect studied is graphics in the series analysis. There is no theory of graphics as such, but the investigators were able to prove various graphical results by clipping a series by a random curve. In thic connection the investigators did some work in which the notion of a unit has been advanced in connection with the appearance of binary sequences. Author

Descriptors:

• *RANDOM VARIABLES
• *TIME SERIES ANALYSIS
• GRAPHS
• ANALYSIS OF VARIANCE
• ARRAYS
• OPERATORS(MATHEMATICS)
• NUMERICAL METHODS AND PROCEDURES
• CROSSINGS
• MARKOV PROCESSES
• SEQUENCES(MATHEMATICS)
• ASYMPTOTIC NORMALITY
• BINARY ARITHMETIC
• THEOREMS

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE