2007 | OriginalPaper | Buchkapitel
Multivariate Stochastic Orders
Erschienen in: Stochastic Orders
Verlag: Springer New York
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In this chapter we describe various extensions, of the univariate stochastic orders in Chapters 1 and 2, to the multivariate case. The most important common orders that are studied in this chapter are the multivariate stochastic orders ≤
st
and ≤
lr
. Multivariate extensions of the orders ≤
hr
and ≤
mrl
are also studied in this chapter. Also, we review here further analogs of the univariate order ≤
st
, such as the upper and lower orthants orders. In addition, some other related orders are investigated in this chapter as well.