Mathematics – Statistics Theory
Scientific paper
2006-11-22
IMS Lecture Notes--Monograph Series 2006, Vol. 50, 144-155
Mathematics
Statistics Theory
Published at http://dx.doi.org/10.1214/074921706000000653 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/
Scientific paper
10.1214/074921706000000653
Searching for evidence of neutrino oscillations is an important problem in particle physics. Suppose that evidence for neutrino oscillations from an LSND experiment reports a significant positive oscillation probability, but that the LSND result is not confirmed by other experiments. In statistics, such a problem can be proposed as the detection of signal events in the Poisson signal plus background model. Suppose that an observed count $X$ is of the form $X=B+S$, where the background $B$ and the signal $S$ are independent Poisson random variables with parameters $b$ and $\theta$ respectively, $b$ is known but $\theta$ is not. Some recent articles have suggested conditioning on the observed bound for $B$; that is, if $X=n$ is observed, the suggestion is to base the inference on the conditional distribution of $X$ given $B\le n$. This suggestion is used here to derive an estimator of the probability of the existence of the signal event. The estimator is examined from the view of decision theory and is shown to be admissible.
Zhang Tonglin
No associations
LandOfFree
Existence of the signal in the signal plus background model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Existence of the signal in the signal plus background model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Existence of the signal in the signal plus background model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-368780