In light of recent results by Verd u and Han on channel capacity, we examine three problems: the strong converse condition to the channel coding theorem, the capacity of arbitrary channels with feedback and the Neyman-Pearson hypothesis testing type-II error exponent. It is rst remarked that the strong converse condition holds if and only if the sequence of normalized channel information densit...

This paper proposes large deviation optimal properties of the empirical likelihood testing (ELT) moment selection procedures for moment restriction models. Since the parameter spaces of the moment selection problem is discrete, the conventional Pitman-type local alternative approach is not very helpful. By applying the theory of large deviations, we analyze convergence rates of the error probab...

The performance of Neyman-Pearson detection of correlated stochastic signals using noisy observations is investigated via the error exponent for the miss probability with a fixed level. Using the statespace structure of the signal and observation model, a closed-form expression for the error exponent is derived, and the connection between the asymptotic behavior of the optimal detector and that...

In many binary classification applications, such as disease diagnosis and spam detection, practitioners commonly face the need to limit type I error (i.e., the conditional probability of misclassifying a class 0 observation as class 1) so that it remains below a desired threshold. To address this need, the Neyman-Pearson (NP) classification paradigm is a natural choice; it minimizes type II err...

If in sampling any class, say theM's, we first decide what the character Pis for which we propose to sample that class, and also how many instances we propose to draw, our inference is really made before these latter are drawn, that the proportion of P's in the whole class is probably about the same as among the instances that are to be drawn .... But suppose we were to draw our inferences with...

A dynamic sampling plan among strata is a permutation of sampled items specifying which stratum is to receive the next item to be included in the sample. An optimal such plan has the property of achieving minimum variance for its cost whenever it is truncated. This article shows that optimal dynamic sampling plans exist under very general conditions, and gives a simple algorithm for constructin...

We investigate the effects of feedback on a decentralized detection system consisting of N sensors and a detection center. It is assumed that observations are independent and identically distributed across sensors, and that each sensor compresses its observations into a fixed number of quantization levels. We consider two variations on this setup. One entails the transmission of sensor data to ...