Entropy and the consistent estimation of joint distributions (vol 22, pg 960, 1994)
成果类型：
Correction, Addition
署名作者：
Marton, K; Shields, PC
署名单位：
University System of Ohio; University of Toledo
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1996
页码：
541-545
关键词：
摘要：
Jeff Steif has brought to our attention an error on page 975 of our paper. Our argument that inequality (30) implies the immediately following inequality has a gap. A closer look shows an even more serious problem, namely, Lemma 6 as stated is probably not true, since nothing in the weak Bernoulli property precludes the possibility that splitting sets for x(1)(n) may depend on past coordinates {x(1): i less than or equal to 0}. With a modified definition of the splitting concept an alternative version of Lemma 6 is true and this is sufficient to prove our principal theorem, Theorem 4. The following text replaces the discussion from the paragraph preceding Lemma 5 on page 973 to the end of Section 3 on page 976.