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A maximum likelihood approach has been used to analyse the first results from KamLAND emphasizing the application of this method for low statistics samples. The goodness of fit has been determined by using the Monte Carlo method in order to test two different null hypotheses. It turns out that with the present statistics, the neutrino oscillation hypothesis has a significance of about 90% (the best fits for the oscillation parameters from KamLAND are found to be: δ m 2 12 ∼ 7.1 × 10 −5 eV 2 and sin 2 θ 12 = 0.424/0.576), while the no-oscillation hypothesis has a significance of about 50%. Through the likelihood ratio test, the hypothesis of no disappearance is rejected at about 99.9% C.L. with the present data from the positron spectrum. A comparison with other analyses is presented.
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