Permanents, Order Statistics, Outliers, and Robustness

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On the skewness of order statistics in multiple-outlier models (2011, methodology): “We refer the reader to Bapat and Kochar (1994), Hu et al. (2001), (2006), and Balakrishnan (2007) for related topics.”
ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS (2013, background): “Zhao and Balakrishnan [51] established the following result for the mean residual life order.”
Mixture Representations for the Joint Distribution of Lifetimes of two Coherent Systems with Shared Components (2013, unknown): “From Equation (3) of [4], a straightforward calculation gives fi|j :n(y | x) = fj,i:n(x, x + y) fj :n(x) = (n− j)! (n− i)! (i − j − 1)! ( F(x + y)− F(x) 1 − F(x) )i−j−1(1 − F(x + y) 1 − F(x) )n−i f (x + y) 1 − F(x) = (n− j)! (n− j − (i − j))! (i − j − 1)! i−j−1(y | x)(1 −H(y | x))n−j−(i−j)h(y | x), ”