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that upper limits will not be exactly constant. The n = 0 case is illustrated in Fig. 5 for two values of the relative uncertainties on background and signal efficiency. For n > 0 the likelihood function still factorizes approximately since ( µ + ϵσ ) n ≈ µ $^{n}$(1 + nϵσ/µ ) ≈ µ n for µ ≫ ϵσ, n . Thus upper limits will flatten out at large ¯ µ , as seen in Fig. 5. A comparison 

