Abstract #301151

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JSM 2003 Abstract #301151
Activity Number: 107
Type: Invited
Date/Time: Monday, August 4, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics & the Environment
Abstract - #301151
Title: Semiparametric Small Area Estimation with Integrated Natural Resources Data
Author(s): Jay Breidt*+ and Nan-Jung Hsu
Companies: Colorado State University and National Tsing Hua University
Address: 201 Statistics, Fort Collins, CO, 80523-1877,
Keywords: soil core ; natural cubic spline ; mixed model
Abstract:

In some natural resources monitoring applications, sites are selected at random on a landscape, and observations are recorded at multiple depths at each site. Examples include soil, sediment, and ice cores, as well as water column data. Often, the data recorded at a particular depth represent not the instantaneous value at that depth, but the average over some increment at that depth. Such data have, effectively, been presmoothed. A semi-parametric mixed model is developed for such integrated data. The model allows for parametric fixed and random effects as well as a non-parametric depth function, the instantaneous version of which is a natural cubic spline. An estimation methodology based on residual maximum likelihood is developed. Applications to carbon sequestration data, and extensions to small area estimation, are discussed.


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