Related papers: Upper limits based on "loudest" events
We discuss a new method for setting limits on small signals in the presence of background noise. The method is based on a combination of a two dimensional confidence region and the large sample approximation to the likelihood ratio test…
This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019
This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.
This paper has been withdrawn by the authors due to an unlikely results.
This paper has been withdrawn by the author(s), due an error in the proof.
This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.
This paper has been withdrawn by the authors, due to a flaw in the proof of Theorem 1. This preprint is superseded by quant-ph/0610027, where a correct proof can be found. Thanks to Rainer Siegmund-Schultze for spotting the error.
The paper has been withdrawn due to numerical error.
This paper has been withdrawn by the author because there is a gap in Lemma 9.
This paper has been withdrawn by the author due to a gap in the proof of Lemma 3.4
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the authors due to a crucial error.
This paper has been withdrawn due to an incorrect proof.
This paper has been withdrawn by the authors due to some fatal errors in the analysis.
The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific journal, but withdrawn by the author after the discovery of…
In this paper, lower bounds on the probability of a finite union of events are considered, i.e. $P\left(\bigcup_{i=1}^N A_i\right)$, in terms of the individual event probabilities $\{P(A_i), i=1,\ldots,N\}$ and the sums of the pairwise…
This paper has been withdrawn at the author's request.
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
This article has been withdrawn due to an error in a proof of the main result.
This paper has been withdrawn by the author due to an error in the proof of Proposition 4.8.