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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 3, Pages 685–694
(Mi tvp3469)
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This article is cited in 6 scientific papers (total in 6 papers)
Short Communications
Distance in variation between two arbitrary distributions via the associated $w$-functions
N. Papadatos, V. Papathanasiou University of Athens, Department of Mathematics, Athens, Greece
Abstract:
Variational inequalities are obtained for total variation distance between two arbitrary probability measures in terms of the corresponding $w$-functions. The results are extended to the distance between a distribution of a sum of dependent variables and an arbitrary distribution. Several applications are given.
Keywords:
total variation distance, $w$-function.
Received: 21.07.1993
Citation:
N. Papadatos, V. Papathanasiou, “Distance in variation between two arbitrary distributions via the associated $w$-functions”, Teor. Veroyatnost. i Primenen., 40:3 (1995), 685–694; Theory Probab. Appl., 40:3 (1995), 567–575
Linking options:
https://www.mathnet.ru/eng/tvp3469 https://www.mathnet.ru/eng/tvp/v40/i3/p685
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Abstract page: | 201 | Full-text PDF : | 67 | First page: | 13 |
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