Order Preservation for Path-Distribution Dependent SDEs
classification
🧮 math.PR
keywords
orderpreservationsdesdependentpath-distributionconditionsconstructcorresponding
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Sufficient and necessary conditions are presented for the order preservation of path-distribution dependent SDEs. Differently from the corresponding study of distribution independent SDEs, to investigate the necessity of order preservation for the present model we need to construct a family of probability spaces in terms of the ordered pair of initial distributions.
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