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Increasing risk: Some direct constructions. (English) Zbl 0886.90052
Summary: This article extends the classic Rothschild-Stiglitz characterization of comparative risk (“increasing risk”) in two directions. By adopting a more general definition of “mean preserving spread” (MPS), it provides a direct construction of a sequence of MPS’s linking any pair of distributions that are ranked in terms of comparative risk. It also provides a direct, explicit construction of a zero-conditional-mean “noise” variable for any such pair of distributions. Both results are extended to the case of second order stochastic dominance.

MSC:
91B30 Risk theory, insurance (MSC2010)
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