Proceedings of the 1999 IEEE Information Theory and Communications Workshop (Cat. No. 99EX253)
DOI: 10.1109/itcom.1999.781430
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Cited by 4 publications
(4 citation statements)
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“…It is noteworthy, in fact surprising, that though previous research regarding information diagrams have worked with the probability of error in place of index of coincidence, exactly the same constants α k and β k have appeared in related inequalities (due to the form of inequalities considered it is in fact α k + β k and β k that appears in previous research). To be precise, we refer to equations (12) in Kovalevskij [18], ( 6) in Tebbe and Dwyer [26], (29) in Ben-Bassat [1] and, finally, to equation ( 14) in Feder and Merhav [7]. An explanation for this phenomenon is given in the discussion.…”
Section: (Iii)mentioning
confidence: 99%
See 1 more Smart Citation
“…It is noteworthy, in fact surprising, that though previous research regarding information diagrams have worked with the probability of error in place of index of coincidence, exactly the same constants α k and β k have appeared in related inequalities (due to the form of inequalities considered it is in fact α k + β k and β k that appears in previous research). To be precise, we refer to equations (12) in Kovalevskij [18], ( 6) in Tebbe and Dwyer [26], (29) in Ben-Bassat [1] and, finally, to equation ( 14) in Feder and Merhav [7]. An explanation for this phenomenon is given in the discussion.…”
Section: (Iii)mentioning
confidence: 99%
“…As indicated in the announcement [29], the inequality ( 19) can be proved in a straightforward way by induction (over n with P ∈ M 1 + (n)) in case k = 1. Simple direct proofs of ( 19) for other values of k are not known to the authors.…”
Section: (Iii)mentioning
confidence: 99%
“…It seems that first the method was considered in [12]; then the problem of optimal estimation was considered in [13] and an asymptotically optimal method was suggested. Recently, new results about exact prediction were found in [14]. The results that follow are nonasymptotic (as opposed to [13]) and remain true if the samples are not i.i.d.…”
Section: Remarkmentioning
confidence: 97%
“…The author, jointly with Peter Harremoës, has pointed to exact results for Bernoulli sources, cf. [3]. In [2] numerical methods are indicated, but based on the same theoretical reasoning as here (and with some associated exact results, not stated there).…”
mentioning
confidence: 99%