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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."
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