Accession Number : ADA141045

Title :   An Application of the H-Function to Curve-Fitting and Density Estimation.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON 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 H-function 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 H-function 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 quasi-Newton 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