Several techniques for estimating the reliability of estimated error rates and for estimating the signicance of observed dierences in error rates are explored in this paper. Textbook formulas which assume a large test set, i.e., a normal distribution, are commonly used to approximate the condence limits of error rates or as an approximate signicance test for comparing error rates. Expressions f...

in this paper, a maximum likelihood estimation and a minimum entropy estimation for the expected value and variance of normal fuzzy variable are discussed within the framework of credibility theory. as an application, a credibilistic portfolio selection model is proposed, which is an improvement over the traditional models as it only needs the predicted values on the security returns instead of...

We characterize preference relations over bounded below Anscombe and Aumann’s acts and give necessary and su¢ cient conditions that guarantee the existence of a utility function u on consequences, a con…dence function ' on the set of all probabilities over states of nature and a positive threshold level of con…dence 0 such that our preference relation has a functional representation J , where g...

Many machine learning applications require classi ers that minimize an asymmetric cost function rather than the misclassi cation rate, and several recent papers have addressed this problem. However, these papers have either applied no statistical testing or have applied statistical methods that are not appropriate for the cost-sensitive setting. Without good statistical methods, it is di cult t...

We study eective inference strategies for monotone trend functions in the presence of short range and long range dependence. Isotonic regression, which does not require specication of tuning parameters, is invoked to estimate the monotone trend. The problem of constructing reliable condence intervals for the trend function is addressed via the use of appropriate discrepancy statistics which ari...

In this paper, we re-visit the inference problem for interval identi…ed parameters originally studied in Imbens and Manski (2004) and later extended in Stoye (2007). We establish a new con…dence interval that is asymptotically valid under the same assumptions as in Stoye (2007). Like the con…dence interval of Stoye (2007), our new con…dence interval extends that of Imbens and Manski (2004) to a...

This paper addresses the problem of generating semantically meaningful content by integrating information from di erent media. The goal is to automatically construct a compact yet meaningful abstraction of the multimedia data that can serve as an e ective index table, allowing users to browse through large amounts of data in a non-linear fashion with exibility, e ciency, and condence. We propos...