Related papers: Upper limits based on "loudest" events

This paper has been withdrawn by the author.

We obtain new lower and upper bounds for probabilities of unions of events.These bounds are sharp. They are stronger than earlier ones. General bounds maybe applied in arbitrary measurable spaces.We have improved the method that has been…

Let $A_1, A_2, \ldots, A_n$ be events in a sample space. Given the probability of the intersection of each collection of up to $k+1$ of these events, what can we say about the probability that at least $r$ of the events occur? This question…

This paper has been withdrawn by the author due to a coming paper completely superseding it.

Finding upper limits on the rate of events from a proposed process in the presence of unknown backgrounds is an often encountered problem in the search for rare processes. Methods based on unusually large "gaps", or spacings, in the event…

This paper has been withdrawn by the author due to a crucial error in the formulation.

This paper has been withdrawn because of serious errors.

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

This paper has been withdrawn by the authors because it has been combined with "Higher Auslander Algebras Admitting Trivial Maximal Orthogonal Subcategories" (arXiv:0903.0761) together. Please see the new version of the latter paper for the…

In this paper the effect of posibilistic or mixed background risk on the level of optimal prevention is studied. In the framework of five purely possibilistic or mixed models, necessary and sufficient conditions are found such that the…

Coherent lower previsions are general probabilistic models allowing incompletely specified probability distributions. However, for complete description of a coherent lower prevision -- even on finite underlying sample spaces -- an infinite…

This paper has been withdrawn by the author, due to a crucial error in page 5.

Rational decision-making under uncertainty requires coherent degrees of belief in events. However, event probabilities generated by Large Language Models (LLMs) have been shown to exhibit incoherence, violating the axioms of probability…

This paper has been withdrawn by the author due to a serious mistake on Lemma 2.4.

A suggestion is made for improving the Feldman Cousins method of estimating signal counts in the presence of background. The method concentrates on finding essential information about the signal and ignoring extraneous information about…

... A strict lower-limit flux for the evolving extragalactic background light (and in particular the cosmic infrared background) has been calculated up to redshift of 5. The computed flux is below the existing upper limits from direct…

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn for the reasons mentioned in the Comments.

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

The paper was withdrawn by the author. Further research is needed.