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Article
On the Skewness of Order Statistics in Multiple-Outlier Models
Journal of Applied Probability (2011)
  • Subhash Kochar, Portland State University
  • Maochao Xu, Illinois State University
Abstract

Kochar and Xu (2009) proved that a parallel system with heterogeneous exponential component lifetimes is more skewed (according to the convex transform order) than the system with independent and identically distributed exponential components. In this paper we extend this study to the general k-out-of-n systems for the case when there are only two types of component in the system. An open problem proposed in Pǎltǎnea (2008) is partially solved.

Disciplines
Publication Date
2011
Citation Information
Subhash Kochar and Maochao Xu. "On the Skewness of Order Statistics in Multiple-Outlier Models" Journal of Applied Probability Vol. 48 Iss. 1 (2011)
Available at: http://works.bepress.com/subhash_kochar/18/