On the Splicing of Measures
Kallianpur, G. ; Ramachandran, D.
Ann. Probab., Tome 11 (1983) no. 4, p. 819-822 / Harvested from Project Euclid
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Given probabilities $\mu$ and $\nu$ on $(X, \mathscr{A})$ and $(X, \mathscr{B})$ respectively, a probability $\eta$ on $(X, \mathscr{A} \vee \mathscr{B})$ is called a splicing of $\mu$ and $\nu$ if $\eta(A \cap B) = \mu(A) \nu(B)$ for all $A \in \mathscr{A}, B \in \mathscr{B}$. Using a result of Marczewski we give an elementary proof of Stroock's result on the existence of splicing. We also discuss the splicing problem when $\mu$ and $\nu$ are compact measures.
Publié le : 1983-08-14
Classification:  Splicing,  finitely additive splicing,  independence,  28A12,  28A35 
@article{1176993532,
     author = {Kallianpur, G. and Ramachandran, D.},
     title = {On the Splicing of Measures},
     journal = {Ann. Probab.},
     volume = {11},
     number = {4},
     year = {1983},
     pages = { 819-822},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993532}
}

Kallianpur, G.; Ramachandran, D. On the Splicing of Measures. Ann. Probab., Tome 11 (1983) no. 4, pp.  819-822. http://gdmltest.u-ga.fr/item/1176993532/