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Shaked, Moshe; Sordo, Miguel A.; Suárez-Llorens, Alfonso

Global dependence stochastic orders. (English) Zbl 1259.60026

Methodol. Comput. Appl. Probab. 14, No. 3, 617-648 (2012).
Summary: Two basic ideas, that give rise to global dependence stochastic orders, are introduced and studied. The similarities and differences between the resulting global dependence orders, and the known common positive dependence orders, are discussed. Some desirable properties that global dependence orders may expected to satisfy are listed and checked. Three particular global dependence orders, that come up from the two general ideas, are studied in detail. It is shown, among other things, how these orders can be verified. Finally, some applications in auction theory, in reliability theory, and in economics, are described.

Cited in 1 Review
Cited in 7 Documents

MSC:

60E15 Inequalities; stochastic orderings
91B26 Auctions, bargaining, bidding and selling, and other market models
90B25 Reliability, availability, maintenance, inspection in operations research
60K10 Applications of renewal theory (reliability, demand theory, etc.)

Keywords:

positive dependence; convex order; dispersive order; increasing rearrangement; Jensen’s inequality; auction theory; reliability theory; Gini covariance; Gini correlation; absolute concentration curve
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