Stochastic Orders and Applications

A Classified Bibliography

Lecture Notes in Economics and Mathematical Systems Band 401

Karl Mosler, Marco Scarsini

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A bibliography on stochastic orderings. Was there a real need for it? In a time of reference databases as the MathSci or the Science Citation Index or the Social Science Citation Index the answer seems to be negative. The reason we think that this bibliog raphy might be of some use stems from the frustration that we, as workers in the field, have often experienced by finding similar results being discovered and proved over and over in different journals of different disciplines with different levels of mathematical so phistication and accuracy and most of the times without cross references. Of course it would be very unfair to blame an economist, say, for not knowing a result in mathematical physics, or vice versa, especially when the problems and the languages are so far apart that it is often difficult to recognize the analogies even after further scrutiny. We hope that collecting the references on this topic, regardless of the area of application, will be of some help, at least to pinpoint the problem. We use the term stochastic ordering in a broad sense to denote any ordering relation on a space of probability measures. Questions that can be related to the idea of stochastic orderings are as old as probability itself. Think for instance of the problem of comparing two gambles in order to decide which one is more favorable.

Karl Mosler hat seine statistische und mathematische Ausbildung in Heidelberg und München erhalten. Er hat Statistik und Operations Research an wirtschaftswissenschaftlichen Fakultäten, u.a. in Hamburg und Frankfurt/O. gelehrt. Seit 1995 ist er Professor für Statistik und Ökonometrie an der Universität zu Köln.


Einband Taschenbuch
Seitenzahl 379
Erscheinungsdatum 29.09.1993
Sprache Englisch
ISBN 978-3-540-56956-5
Verlag Springer Berlin
Maße (L/B/H) 23,5/15,6/2,2 cm
Gewicht 593 g

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  • Main List (by authors).- Field Lists.- GMT: General Mathematical Theory.- MAJ: Majorization.- ECT: Economic Theory.- INM: Inequality Measurement.- FIN: Finance.- INS: Insurance.- CHR: Choice under Risk.- DEM: Decision Methodology.- SEC: Special Applications in Economics.- MPR: Mathematical Programming.- QUE: Queueing.- REL: Reliability.- OOR: Other Applications in Operations Research.- STP: Stochastic Processes.- DEP: Dependence of Random Variables.- PRI: Probability Inequalities.- OPR: Other Applications in Probability.- TES: Statistical Tests.- EST: Statistical Estimation.- SEL: Statistical Selection, Ranking, and Classification.- EXP: Experimental Design.- OST: Other Applications in Statistics.- MPH: Mathematical Physics.- OTH: Other Applications.- COM: Algorithms and Computation.- Appendix: Supplementary List.