Computing optimal confidence sets for Pareto models under progressive censoring

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Article ID:	iaor20141492
Volume:	258
Issue:	12
Start Page Number:	168
End Page Number:	180
Publication Date:	Mar 2014
Journal:	Journal of Computational and Applied Mathematics
Authors:	Fernndez Arturo J
Keywords:	modelling, Pareto principle, confidence interval

Abstract:

Smallest‐area joint confidence regions for the Pareto parameters are determined.

The proposed procedure is valid for standard and progressive type II censoring.

The reduction in area is substantial in most cases, and impressive sometimes.

Shortest‐length confidence intervals for the Pareto parameters are provided.

Confidence bands for the Pareto reliability function may also be derived.

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