Consistency Properties for Growth Model Parameters Under an Infill Asymptotics Domain (Paperback) (ISBN-13: 9781288305889)

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.

Author: David T. Mills
ISBN-10: 1288305885
ISBN-13: 9781288305889
Publisher: Biblioscholar
Language: English
Published: 11/16/2012
Pages: 96
Format: Paperback
Weight: 0.41lbs
Size: 9.69h x 7.44w x 0.20d