Interval-valued random functions and the kriging of intervals

Journal Article · Fri Apr 01 00:00:00 EST 1988 · J. Int. Assoc. Math. Geol.; (United States)

DOI:https://doi.org/10.1007/BF00890251· OSTI ID:6288062

Diamond, P

Estimation procedures using data that include some values known to lie within certain intervals are usually regarded as problems of constrained optimization. A different approach is used here. Intervals are treated as elements of a positive cone, obeying the arithmetic of interval analysis, and positive interval-valued random functions are discussed. A kriging formalism for interval-valued data is developed. It provides estimates that are themselves intervals. In this context, the condition that kriging weights be positive is seen to arise in a natural way. A numerical example is given, and the extension to universal kriging is sketched.

• Research Organization: Univ. of Queensland, St. Lucia (Australia)
• OSTI ID: 6288062
• Journal Information: J. Int. Assoc. Math. Geol.; (United States), Vol. 20:3
• Country of Publication: United States
• Language: English

Related Subjects

58 GEOSCIENCES
GEOLOGIC DEPOSITS
KRIGING
BOUNDARY CONDITIONS
DATA ACQUISITION
DATA COVARIANCES
DATA PROCESSING
GEOLOGIC MODELS
MATHEMATICAL SPACE
METRICS
PROBABILISTIC ESTIMATION
RANDOMNESS
SET THEORY
TOPOLOGICAL MAPPING
TOPOLOGY
WEIGHTING FUNCTIONS
FUNCTIONS
MAPPING
MATHEMATICS
PROCESSING
SPACE
STATISTICS
TRANSFORMATIONS
580203* - Geophysics- Geophysical Survey Methods- (1980-1989)