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.

Report Date:

1983-12-01

Pagination or Media Count:

183.0

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 Powells 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