Mixtures are not derivable

@article{Alsina1988MixturesAN,
  title={Mixtures are not derivable},
  author={Cl. Alsina and Bernd Schweizer},
  journal={Foundations of Physics Letters},
  year={1988},
  volume={1},
  pages={171-174}
}
AbstractA binary operation ø on probability distribution functions is derivable from a binary operation on random variables if there exists a two-place functionV such that, for any distribution functionsF andG, there exist random variablesX andY, defined on a common probability space, such thatF andG are the distribution functions ofX andY , respectively, and ø(F, G) is the distribution function ofV (X, Y). We show that if ø(F, G) =cF + (1 -c)G, 0 <c < 1, then ø is not derivable; similarly… CONTINUE READING

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