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arXiv · 2106.14874

A geometric way to find the measures of uncertainty from statistical divergences for discrete and finite probability distributions

Gautam Sharma·Sk Sazim
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Abstract

Exploiting the geometric nature of statistical divergences, we devise a way to define associated induced uncertainty measures for discrete and finite probability distributions. We also report new uncertainty measures and discuss their properties. Further, we apply a similar technique to measure the uncertainty in the preparation of a quantum state.

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Gautam Sharma, Sk Sazim. 2021-06-28. A geometric way to find the measures of uncertainty from statistical divergences for discrete and finite probability distributions. https://arxiv.org/abs/2106.14874

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