Computer Science – Computation and Language
Scientific paper
1996-06-11
WVLC-4
Computer Science
Computation and Language
9 pages, uuencoded, gzipped PostScript; some typos removed
Scientific paper
An asymptote is derived from Turing's local reestimation formula for population frequencies, and a local reestimation formula is derived from Zipf's law for the asymptotic behavior of population frequencies. The two are shown to be qualitatively different asymptotically, but nevertheless to be instances of a common class of reestimation-formula-asymptote pairs, in which they constitute the upper and lower bounds of the convergence region of the cumulative of the frequency function, as rank tends to infinity. The results demonstrate that Turing's formula is qualitatively different from the various extensions to Zipf's law, and suggest that it smooths the frequency estimates towards a geometric distribution.
No associations
LandOfFree
Relating Turing's Formula and Zipf's Law does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relating Turing's Formula and Zipf's Law, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relating Turing's Formula and Zipf's Law will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-100792