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August 2017 A note on curvature influence diagnostics in elliptical regression models
Mauricio Zevallos, Luiz Koodi Hotta
Braz. J. Probab. Stat. 31(3): 561-568 (August 2017). DOI: 10.1214/16-BJPS324

Abstract

In this paper, we derive analytical expressions for the curvature influence statistic proposed by Cook [J. Roy. Statist. Soc. Ser. B 48 (1986) 133–169] in elliptical regression models under a data perturbation scheme. A relationship between the curvature statistics and the residuals is established and the effects of the shape parameter are assessed. The results reveal the role of the shape parameter in applying the curvature influence diagnostics technique.

Citation

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Mauricio Zevallos. Luiz Koodi Hotta. "A note on curvature influence diagnostics in elliptical regression models." Braz. J. Probab. Stat. 31 (3) 561 - 568, August 2017. https://doi.org/10.1214/16-BJPS324

Information

Received: 1 February 2015; Accepted: 1 June 2016; Published: August 2017
First available in Project Euclid: 22 August 2017

zbMATH: 1377.62160
MathSciNet: MR3693981
Digital Object Identifier: 10.1214/16-BJPS324

Keywords: Data perturbation , influential observations , local influence

Rights: Copyright © 2017 Brazilian Statistical Association

Vol.31 • No. 3 • August 2017
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