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Goodness-of-fit tests for unbinned maximum likelihood - Physics ...

Goodness-of-fit tests for unbinned maximum likelihood - Physics ...

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Compound hypotheses: rejection powerHypothesis: PDF = f(X; a)• Toy MC: generate expts <strong>for</strong> PDF= f(X; a 0 )<strong>fit</strong> i th expt to f(X; a)->a max,iflatten, null PDF = f(X; a max,i )find K 1 -> ensembleK 1 distributionAlternate hypothesis: PDF=g(X)• Toy MC: generate expts <strong>for</strong> PDF= g(X)<strong>fit</strong> j th expt to f(X; a)->a max,jflatten, null PDF = f(X; a max,j )find K 1 -> ensembleK 1 distributionPHYSTAT2003,9/8/036

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