Graphical methods for investigating the finite-sample properties of confidence regions

Authors:
Christian de Peretti;Carole Siani
Affiliations:
Laboratory of Actuarial and Financial Sciences (SAF, EA2429), Institute of Financial and Insurance Sciences (ISFA School), University of Lyon, France and Research Center in Economic Development an ...;Research Laboratory in Knowledge Engineering (ERIC, EA3083), Department of Computer Science, University Claude Bernard Lyon 1, University of Lyon, F-69622, Lyon, France
Venue:
Computational Statistics & Data Analysis
Year:
2010

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Abstract

No satisfactory method for measuring and presenting the performance of confidence regions can be found in the literature. Techniques for measuring the effectiveness of confidence regions and for the graphical display of simulation evidence regarding the coverage and effectiveness of confidence regions are developed and illustrated. Three types of figures are discussed: called coverage plots, coverage discrepancy plots, and coverage effectiveness curves, which makes it possible to show the ''genuine'' effectiveness, rather than a spurious nominal effectiveness. These figures are used to illustrate the finite sample properties of autoregressive parameter confidence regions in the context of AR(1) processes.