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Article information
2003 , Volume 8, ¹ 5, p.3-13
Fedotov A.A., Harremoes P., Topsoe F.
Best Pinsker Bound Equals Taylor Polynomial of Degree 49
An exact parametrization of Vajda's tight lower bound, allows to construct refined Pinsker bounds that is recursively defined polynomials of degree which fit the inequality . We show that coincides with Taylor polynomial of degree approximating in zero iff is less or equal to 49.
[full text] Classificator Msc2000:- *62B10 Information-theoretic topics
- 62H30 Classification and discrimination; cluster analysis
- 94A15 Information theory, general
Keywords: information stability of random variables, optimum rate of transmitting information, lower bound for discrimination information in terms of variation, bounds for entropy
Author(s):
Fedotov Aleksei Anatolievich
Address: 630090, Russia, Moscow
E-mail: alexei.fedotov@gmail.com
Harremoes P.
Address: DK-2100, Denmark, Copenhagen
E-mail: moes@math.ku.dk
Topsoe F.
Address: DK-2100, Denmark, Copenhagen
E-mail: topsoe@math.ku.dk
Bibliography link:
Fedotov A.A., Harremoes P., Topsoe F. Best Pinsker Bound Equals Taylor Polynomial of Degree 49 // Computational technologies. 2003. V. 8. ¹ 5. P. 3-13
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