Generalized moment-independent importance measures based on Minkowski distance

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  • Qingqing Zhai
  • Jun Yang
  • Min Xie
  • Yu Zhao


Original languageEnglish
Pages (from-to)449-455
Journal / PublicationEuropean Journal of Operational Research
Issue number2
Online published6 Jun 2014
Publication statusPublished - 1 Dec 2014


Importance measures have been widely studied and applied in reliability and safety engineering. This paper presents a general formulation of moment-independent importance measures and several commonly discussed importance measures are unified based on Minkowski distance (MD). Moment-independent importance measures can be categorized into three classes of MD importance measures, i.e. probability density function based MD importance measure, cumulative distribution function based MD importance measure and quantile based MD importance measure. Some properties of the proposed MD importance measures are investigated. Several new importance measures are also derived as special cases of the generalized MD importance measures and illustrated with some case studies. © 2014 Elsevier B.V. All rights reserved.

Research Area(s)

  • Cumulative distribution function, Minkowski distance, Moment-independent importance measures, Probability density function, Quantile