Geometric Approach to Quantum Statistical Inference
نویسندگان
چکیده
منابع مشابه
statistical inference via empirical bayes approach for stationary and dynamic contingency tables
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15 صفحه اولOn Quantum Statistical Inference
Recent developments in the mathematical foundations of quantum mechanics have brought the theory closer to that of classical probability and statistics. On the other hand, the unique character of quantum physics sets many of the questions addressed apart from those met classically in stochastics. Furthermore, concurrent advances in experimental techniques and in the theory of quantum computatio...
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The role of Kerridge inaccuracy, Shannon entropy and Kullback-Leibler distance in statistical estimation is shown for both dicrete and continuous observations. The cases of data independence and regression-type dependence are considered in parallel. Pythagorean-like relations valid for probability distributions are presented and their importance for estimation under compressed data is indicated.
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ژورنال
عنوان ژورنال: IEEE Journal on Selected Areas in Information Theory
سال: 2020
ISSN: 2641-8770
DOI: 10.1109/jsait.2020.3017469