Erratum: The following sentence in Section 2 is not correct. ``The Chernoff information d^{*}(x, y) between two Bernoulli distributions B(x) and B(y) is defined by d^{*}(x, y) = d(z^{*}, x) = d(z^{*}, y) where z^{*} is the unique z such that d(z, x) = d(z, y).'' The following sentence is the correct replacement. ``The Chernoff information d^{*}(x, y) between two Bernoulli distributions B(x) and B(y) is defined by d^{*}(x, y) = d(z^{*}, x) = d(z^{*}, y) where z^{*} is the unique z \in [\min{x, y}, \max{x, y}] such that d(z, x) = d(z, y).''