Conditions on the Regression Function when Both Variables are Uniformly Distributed
Vitale, R. A. ; Pipkin, A. C.
Ann. Probab., Tome 4 (1976) no. 6, p. 869-873 / Harvested from Project Euclid
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Consider the class of probability distributions on the unit square with uniform marginal distributions. The class of associated regression functions is characterized by integral inequalities or, equivalently, as forming the closed convex hull of 1-1, measure-preserving mappings of the unit interval onto itself.
Publié le : 1976-10-14
Classification:  Regression function,  measure-preserving mapping,  62J05,  28A65 
@article{1176995992,
     author = {Vitale, R. A. and Pipkin, A. C.},
     title = {Conditions on the Regression Function when Both Variables are Uniformly Distributed},
     journal = {Ann. Probab.},
     volume = {4},
     number = {6},
     year = {1976},
     pages = { 869-873},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995992}
}

Vitale, R. A.; Pipkin, A. C. Conditions on the Regression Function when Both Variables are Uniformly Distributed. Ann. Probab., Tome 4 (1976) no. 6, pp.  869-873. http://gdmltest.u-ga.fr/item/1176995992/