Accession Number : AD0623696

Title :   USE OF TRANSFORMATIONS ON PARAMETERS IN NON-LINEAR THEORY. II. MEASURES OF NONLINEARITY AND TRANSFORMATIONS TO REDUCE NON-LINEARITY,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Guttman,Irwin ; meeter,Duane A.

Report Date : JUL 1964

Pagination or Media Count : 44

Abstract : Non-linear least squares problems, and measures of non-linearity are discussed. Some measures of nonlinearity due to Beale (1960 are introduced), and the behavior of these measures is examined using certain specific examples. The effect of using transformations of parameters to reduce the non-linearity measures is investigated.

Descriptors :   (*MEASURE THEORY, TRANSFORMATIONS(MATHEMATICS)), (*TRANSFORMATIONS(MATHEMATICS), MEASURE THEORY), NONLINEAR SYSTEMS, LEAST SQUARES METHOD, PROBABILITY, MATHEMATICAL MODELS

Distribution Statement : APPROVED FOR PUBLIC RELEASE