Fully describe how to use the uniï¬ed approach for a Poisson
distribution describing signal and background...
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Fully describe how to use the uniï¬ed approach for a Poissondistribution describing signal and background events. Illustratethis by constructing a 90% conï¬dence level interval for the numberof observed events given a signal yield µ of 2 events and anassumed background of 1 events. You may wish to consider totalevent yields between zero and ten.
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Rare processes are described by Poisson statistics In thelimit of small numbers where the Gaussian approximation isinvalid it is useful to consider one and two sided intervals of aPoisson distribution to obtain intervals and upper limits Thefollowing discussion mirrors the previous section Two significantdifferences between the Poisson and Gaussian distributions are thatr unlike x is a discrete parameter and the Poissondistributionis not symmetric about its mean value whereas a Gaussian distribution is This fact is relevant
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