Abstract. A lower bound on the misclassification probability for a finite number of classes is obtained in terms of the total variation norms of the differences between the sub-distributions over the classes. This bound, which is shown to be exact in a certain rather strong sense, is based on an exact upper bound on the difference between the maximum and the mean of a finite set of real numbers...

We introduce the Bounded Axiom A Forcing Axiom(BAAFA). It turns out that it is equiconsistent with the existence of a regular Σ2-correct cardinal and hence also equiconsistent with BPFA. Furthermore we show that, if consistent, it does not imply the Bounded Proper Forcing Axiom(BPFA).

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

This paper shows that realised power variation and its extension called realised bipower variation that we introduce here is somewhat robust to rare jumps. We demonstrate that in special cases realised bipower variation estimate integrated variance in stochastic volatility models, thus providing a model free and consistent alternative to realised variance. Its robustness property means that if ...

Are Wage and Employment Effects Robust to Alternative Minimum Wage Variables? A national minimum wage cannot explain variation in wages or employment across regions. Identification of the effect of the minimum wage separately from the effect of other variables on wages or employment requires regional variation. Many minimum wage variables with regional variation have been suggested in the liter...

In this paper, we establish some generalizations of weighted trapezoid inequality for mappings of bounded variation, and give several applications for r − moment, the expectation of a continuous random variable and the Beta mapping.

4 Casper-Emil T. Pedersen*, Kirk E. Lohmueller, Niels Grarup, Peter Bjerregaard, 5 Torben Hansen, Hans R. Siegismund*, Ida Moltke*, and Anders Albrechtsen* 6 7 Department of Biology, Section for Computational and RNA Biology, University of 8 Copenhagen, 2200 Copenhagen N, Denmark 9 10 Department of Ecology and Evolutionary Biology, University of California, Los 11 Angeles, CA 90095, United Stat...

The purpose of this note is to show that the independence results for sharply bounded arithmetic of Takeuti 4] and Tada and Tatsuta 3] can be obtained and, in case of the latter, improved by the model-theoretic method developed by the author in 2]. By sharply bounded arithmetic we understand fragments of the theory S 1 2 of Bounded Arithmetic of Buss 1] given by the quantiier-free BASIC axioms ...