Accession Number:

AD0606207

Title:

APPROXIMATION OF EMPIRICAL FUNCTIONS OF DISCRETE DISTRIBUTION BY DISCONTINUOUS ORTHOGONAL POLYNOMIALS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1947-11-26

Pagination or Media Count:

2.0

Abstract:

Compensation of empirical functions by whole rational functions according to the Gaussian method of least squares leads to systems of linear equations the solution of which, at large numbers of given functional values, becomes very difficult, and becomes numerically impossible with increasing number of values. Application of orthogonal polynomials developed in this paper eliminates the solution of these systems of equation, and by means of these orthogonal polynomials whole rational functions can be given rapidly which approximate with any desired degree of accuracy the given functional values, and which in the limiting case, yield the exact interpolation. By means of an example N 75 application of this method is demonstrated. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE