  In this paper it is shown that in the case of the given probability
distribution or histogram using the Jaynes entropy maximum principle an J-
measure of uncertainty (JMU) provides the maximum for a given distribution can
be constructed. Formulas for the introduced JMU were obtained explicitly and
calculations of this new measure for a number of distributions are shown as
examples. It is shown using as the example a two-dimensional random variable,
the application of the proposed method to the JMU estimation for the
multidimensional case. It was made a comparison of the information contained in
the histogram of a random variable with the information in the probability
distribution obtained as a fitting of this histogram. Moreover studied the
influence of an additional measurement of a certain physical quantity on the
amount of information.
