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An Analysis and Generalization of M. Watson's Minimax Procedure for Determining the Component Estimates of a Seasonal Time Series
An Analysis and Generalization of M. Watson's Minimax Procedure for Determining the Component Estimates of a Seasonal Time Series
RR85-10
Abstract
It is shown that the solution trichotomy described by Watson (1984) applies to a much larger class of minimax problems and has additional robustness properties beyond those discussed by him. We also address a number of practical issues, demonstrating, in particular, that the fixed-interval smoothing algorithm can be used, when finite and possibly nonconsecutive data are available, to obtain the minimax solution, the corresponding component estimate, and the robust mean square estimation error.
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WORKING PAPER
Statistical Research Reports and Studies
Page Last Revised - October 28, 2021
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