Abstract
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.
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© 2007 Springer Science+Business Media, LLC
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(2007). Multivariate Stochastic Orders. In: Shaked, M., Shanthikumar, J.G. (eds) Stochastic Orders. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-34675-5_6
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DOI: https://doi.org/10.1007/978-0-387-34675-5_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-32915-4
Online ISBN: 978-0-387-34675-5
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