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An Interesting Property of the Sample Mean under a First-Order Autoregressive Model |
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| Authors: | Max D. Morris Sherwood F. Ebey |
| Affiliation: | 1. Mathematics and Statistics Research Department , Computer Sciences, Oak Ridge National Laboratory , Oak Ridge , TN , 37830 , USA;2. Department of Mathematics , University of the South Sewanee , TN , 37375 , USA |
| Abstract: | The unweighted sample mean is examined as an estimator of the population mean in a first-order autoregressive model. It is demonstrated that the precision of this estimator deteriorates as the number of equally spaced observations taken within a fixed time interval increases. |
| Keywords: | First-order autoregressive model Precision Sample mean Serial correlation |