Abstract
In Chapter 1 we studied orders that compare random variables according to their “magnitude”. In Chapter 3 the studied orders compare random variables according to their “variability”. The orders that are discussed in this chapter compare random variables according to both their “location” and their “spread”. The most important and common orders that are studied in this chapter are the increasing convex and the increasing concave orders. Also the transform orders that are studied here, that is, the convex, the star, and the superadditive orders, are of interest in many theoretical and practical applications. 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). Univariate Monotone Convex and Related 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_4
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DOI: https://doi.org/10.1007/978-0-387-34675-5_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-32915-4
Online ISBN: 978-0-387-34675-5
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