Accession Number : AD0642857

Title :   CONSIDERATION OF SOME PROBLEMS IN CURVE FITTING,

Corporate Author : ATMOSPHERIC SCIENCES LAB WHITE SANDS MISSILE RANGE N MEX

Personal Author(s) : Miller,Walter B.

Report Date : SEP 1966

Pagination or Media Count : 38

Abstract : This report concerns a particular random process. Let X sub i iET be a family of independent normal random variables indexed by an interval T of real numbers. It will be further assumed that for each tET, V or (X sub t) = S, E(Xt) =P(t) for a continuous function P. A test is devised to determine for any integer k whether or not P(x) is a polynomial of degree k. If it is known that this is the case, estimators of P(t) are derived as well as an estimator of the leading coefficient of P. The methods of derivation parallel those of finite calculus and may be considered to constitute an error analysis of finite difference techniques used in interpolation, prediction, and curve fitting. (Author)

Descriptors :   (*CURVE FITTING, *STOCHASTIC PROCESSES), ANALYSIS OF VARIANCE, STATISTICAL TESTS, POLYNOMIALS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE