e+e-反应中玻色-爱因斯坦关联的卡方到贝叶斯模型比较和Levy展开
From chi-squared to Bayesian model comparison and Levy expansions of Bose-Einstein correlations in e+e- reactions
摘要：
拟合质量评估的通常卡方方法是贝叶斯模型比较的更一般方法的特殊情况，其涉及所有参数的所有可能值的似然和先验的积分。我们引入了新的参数化的基础上系统的扩展周围的拉伸指数或傅立叶变换的Lévy源分布，并利用贝叶斯方法的鉴别能力增加，以评估这些模型的相对概率是真实的表示最近测量的玻色-爱因斯坦相关数据在LEP的e+e-湮灭。
英文摘要：
The usual chi-squared method of fit quality assessment is a special case of the more general method of Bayesian model comparison which involves integrals of the likelihood and prior over all possible values of all parameters. We introduce new parametrisations based on systematic expansions around the stretched exponential or Fourier-transformed Lévy source distribution, and utilise the increased discriminating power of the Bayesian approach to evaluate the relative probability of these models to be true representations of a recently measured Bose-Einstein correlation data in e+e- annihilations at LEP.
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