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The usual chi-squared method of fit quality assessment is a special case ofthe more general method of Bayesian model comparison which involves integralsof the likelihood and prior over all possible values of all parameters. Weintroduce new parametrisations based on systematic expansions around thestretched exponential or Fourier-transformed L\'evy source distribution, andutilise the increased discriminating power of the Bayesian approach to evaluatethe relative probability of these models to be true representations of arecently measured Bose-Einstein correlation data in e+e- annihilations at LEP.

From chi-squared to Bayesian model comparison and Levy expansions of Bose-Einstein correlations in e+e- reactions