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arXiv · 1203.6768

Convergence in measure under Finite Additivity

Gianluca Cassese
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Abstract

We investigate the possibility of replacing the topology of convergence in probability with convergence in $L^1$. A characterization of continuous linear functionals on the space of measurable functions is also obtained.

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Gianluca Cassese. 2013-03-11. Convergence in measure under Finite Additivity. https://doi.org/10.1007/s13171-013-0030-3

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