A Problem in Estimation

TL;DR: It is found that it is possible to make useful estimates of contextual probabilities that improve performance in a spelling correction application, and it is shown that the Good-Turing method makes the use of contextual information practical for a spelling corrector.

TL;DR: In this article, the authors consider the problem of discrete distribution estimation under the assumption that the support size of the observations grows with the number of observations, and provide tight upper and lower bounds on the maximum risk of the empirical distribution.

TL;DR: In this paper, the authors study the statistical state compression of a discrete-state Markov chain from empirical trajectories through the lens of spectral decomposition, as well as properties like representability, aggregability, and lumpability.

TL;DR: In economics debates must soon come to an end, when the one side is proved and the other disproved as discussed by the authors, and where mathematics enters into economics, it would seem that little room could be left for long-continued disputation.

TL;DR: In this article, the authors take a very simple consumer theory approach in order to justify a family of functional forms for a hedonic regression, where consumers evaluate alternative models with different characteristics.

TL;DR: It is found that it is possible to make useful estimates of contextual probabilities that improve performance in a spelling correction application, and it is shown that the Good-Turing method makes the use of contextual information practical for a spelling corrector.

TL;DR: In this article, the authors consider the problem of discrete distribution estimation under the assumption that the support size of the observations grows with the number of observations, and provide tight upper and lower bounds on the maximum risk of the empirical distribution.

TL;DR: In economics debates must soon come to an end, when the one side is proved and the other disproved as discussed by the authors, and where mathematics enters into economics, it would seem that little room could be left for long-continued disputation.