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pro vyhledávání: '"94A17 (Primary) 60C05, 60G50 (Secondary)"'
Autor:
Kovačević, Mladen
Publikováno v:
Theory Probab. Appl., vol. 66, no. 3, pp. 482-487, 2021
Let $ X_1, \ldots, X_n $ be independent random variables taking values in the alphabet $ \{0, 1, \ldots, r\} $, and $ S_n = \sum_{i = 1}^n X_i $. The Shepp--Olkin theorem states that, in the binary case ($ r = 1 $), the Shannon entropy of $ S_n $ is
Externí odkaz:
http://arxiv.org/abs/2008.01138
Autor:
Mladen Kovacevic
Publikováno v:
Theory of Probability & Its Applications. 66:482-487
Let $ X_1, \ldots, X_n $ be independent random variables taking values in the alphabet $ \{0, 1, \ldots, r\} $, and $ S_n = \sum_{i = 1}^n X_i $. The Shepp--Olkin theorem states that, in the binary case ($ r = 1 $), the Shannon entropy of $ S_n $ is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::379bac3b943c5759b3eccf56debb46bd
https://doi.org/10.1137/s0040585x97t99054x
https://doi.org/10.1137/s0040585x97t99054x
