 When plotted in a log-log plot, the distribution is represented by a straight line.The conditional probability distribution of a Pareto-distributed random variable, given the event that it is greater than or equal to a particular number formula_24 exceeding formula_25, is a Pareto distribution with the same Pareto index formula_13 but with minimum formula_24 instead of formula_25.Suppose formula_29 are independent identically distributed random variables whose probability distribution is supported on the interval formula_30 for some formula_31.