
Accession Number : ADA141045
Title : An Application of the HFunction to CurveFitting and Density Estimation.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON AFB OH SCHOOL OF ENGINEERING
Personal Author(s) : Bodenschatz,C D ; Boedigheimer,R A
PDF Url : ADA141045
Report Date : Dec 1983
Pagination or Media Count : 183
Abstract : The Hfunction is the most general special function, encompassing as specific cases many mathematical functions and nearly every continuous statistical distribution defined over positive x. A general procedure is developed to estimate the parameters of the Hfunction which gives the best fit to a set of data. The technique creates a system of nonlinear equations from the method of moments and uses Powell's quasiNewton hybrid algorithm to solve the equations. A computer program, which can accept both raw data or previously calculated moments, implements the general process. Several new theoretical results are also presented. (Author)
Descriptors : *Fitting functions(Mathematics), *Statistical distributions, *Computer programs, Curve fitting, Density, Estimates, Parameters, Nonlinear algebraic equations, Method of moments, Statistical analysis, Statistical inference, Algorithms, Graphs, Theses
Subject Categories : Statistics and Probability
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE