Highly efficient weighted for autoregression wilcoxon estimes for autoregression
Authors:
Jeffrey T. Terpstra a;
Joseph W. McKean a;
Joshua D. Naranjo b
| Affiliations: | a North Dakota State University, USA |
| b Western Michigan University, USA |
DOI:
10.1080/02331880108802724
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
Previously published as:
Mathematische Operationsforschung Statistik
(0047-6277)
until 1977
Previously published as:
Series Statistics
(0323-3944)
until 1985
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Abstract
In this paper we explore the use of Schweppe-type weights for a class of weighted Wiicoxon estimates and apply the corresponding estimates to an autoregressive time series model This special class of estimates is essentially the autoregressive analog of the HBR-estimates proposed by Chang et al. (1999) in the linear regression context. Assuming a stationary finite second moment autoregressive model of order p, asymptotic linearity properties are derived for the HBR-estimate. Based on these properties, the HBR-estimate is shown to be asymptotically normal at rate nl/2. Tests of general linear hypotheses as well as standard errors for confidence interval procedures can be based on such results. In a linear regression setting, the HBR-estimate is highly efficient and inherits a totally bounded influence function and a 50percent breakdown point. Examples and a Monte Carlo study over innovated and additive outlier models indicate that these properties of the HBR-estimate are preserved in an autoregressive time series context, Thus, the HBR-estimate provides a highly efficient and robust alternative for autoregressive time series estimation.
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| Keywords: Additive outliers; Autoregressive time series; Innovation outliers; High-breakdown estimates; Rank-based estimates; Schweppe weights; Wiicoxon estimates |
| view references (35) |

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