👉 In statistics, an optimistical property is a statistical property that can be defined in terms of properties of the data itself. For example, if we have a dataset consisting of random variables X1, ..., Xn, and we want to define an optimistical property for each variable, then we would say that the optimistical property is related to the properties of the distribution of Xj. For instance, if we were interested in defining an optimistical property for the mean of a Gaussian distribution, we
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