Consistency Properties for Growth Model Parameters Under an Infill Asymptotics Domain
David T. Mills
Broschiertes Buch

Consistency Properties for Growth Model Parameters Under an Infill Asymptotics Domain

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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 ...