Accession Number:

ADA528355

Title:

Consistency Properties for Growth Model Parameters Under an Infill Asymptotics Domain

Descriptive Note:

Doctoral thesis

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH GRADUATE SCHOOL OF ENGINEERING AND MANAGEMENT

Personal Author(s):

Report Date:

2010-09-01

Pagination or Media Count:

92.0

Abstract:

Growth curves are used to model various processes, and are often seen in biological and agricultural studies. Underlying assumptions of many studies are that the process may be sampled forever, and that samples are statistically independent. We instead consider the case where sampling occurs in a finite domain, so that increased sampling forces samples closer together, and also assume a distance-based covariance function. We first prove that, under certain conditions, the mean parameter of a fixed-mean model cannot be estimated within a finite domain. We then numerically consider more complex growth curves, examining sample sizes, sample spacing, and quality of parameter estimates, and close with recommendations to practitioners.

Subject Categories:

  • Agricultural Engineering
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE