In addition, the support of formula_4 (i.e. the set of all formula_5 for which formula_4 is greater than 0) does not depend on formula_7. This can be used to exclude a parametric family distribution from being an exponential family. For example, the Pareto distribution has a pdf which is defined for formula_8 (formula_9 being the scale parameter) and its support, therefore, has a lower limit of formula_10. Since the support of formula_11 is dependent on the value of the parameter, the family of Pareto distributions does not form an exponential family of distributions.