Open Access
August, 1983 On the Splicing of Measures
G. Kallianpur, D. Ramachandran
Ann. Probab. 11(3): 819-822 (August, 1983). DOI: 10.1214/aop/1176993532


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.


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G. Kallianpur. D. Ramachandran. "On the Splicing of Measures." Ann. Probab. 11 (3) 819 - 822, August, 1983.


Published: August, 1983
First available in Project Euclid: 19 April 2007

zbMATH: 0549.28004
MathSciNet: MR704574
Digital Object Identifier: 10.1214/aop/1176993532

Primary: 28A12
Secondary: 28A35

Keywords: finitely additive splicing , independence , Splicing

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 3 • August, 1983
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